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‎"[LEIBNITZ, GOTTFRIED WILHELM].‎ ‎Epistola ad Christ. Wolfium circa scientiam infiniti. - [LEIBNIZ INTRODUCES THE PROBABILISTIC ARGUMENT]‎ ‎Leipzig, Grosse & Gleditsch, 1713. 4to. Contemporary full vellum. Faint handwritten title on spine. Two small stamps to title page and pasted library label to pasted down front free end-paper. In: ""Actrum Eruditorum, Supplementa. Tomus V"". As usual with various browning to leaves and plates. Pp 264-70 + 1 engraved plate. [Entire volume: (2), 541,(27) pp. + 4 engraved plates].‎ ‎First printing of Leibniz exceedingly important letter to Christian Wolff in which he introduced the ""probabilistic argument"", that influenced Johann and Daniel Bernoulli. Leibniz corresponded with several other mathematicians about divergent series, the present letter being the most important and having the longest lasting impact. Leibniz had been asked if he thought whether or not a sum existed for Grandi series. ""He reasoned that the sum of n terms of this series would either be 1 or 0 depending on whether n is odd or even, so that the values 0 and 1 occur with equal frequency"" therefore, according to the laws of probability, the most probable sum should be the arithmetic mean ."" (Tucciarone. The Development of the Theory of Summable Divergent Series. P. 1). The letter was rediscovered in 1880 by German mathematician Georg Frobenius in his paper ""Ueber die Leibnitzsche Reihe"" (On Leibniz's series). Frobenius' short paper, begins by quoting from Leibniz's treatment of 1 - 1 + 1 - 1 + ... He states that Leibniz was actually stating a generalization of Abel's Theorem. The result, now known as Frobenius' theorem, and the paper is today regarded as being the first article in the modern history of divergent series.‎ Referência livreiro : 44014	Livre Rare Book Herman H. J. Lynge & Son Copenhagen Denmark Dinamarca Dinamarca Danemark [Livros de Herman H. J. Lynge & Son] € 738,65 Comprar
‎"LACHLAN, R.‎ ‎On Systems of Circles and Spheres. Communicated by A. Cayley. Received February 23, - Read March 11, 1886.‎ ‎(London, Harrison and Sons, 1887). 4to. No wrappers as extracted from ""Philosophical Transactions"" 1886 - Vol. 177 - Part II. Pp. 481-625. Clean and fine.‎ ‎First edition of an importent study on the geometry of circles, treating circles as vectors and using basic ideas from linear algebra.‎ Referência livreiro : 44042	Livre Rare Book Herman H. J. Lynge & Son Copenhagen Denmark Dinamarca Dinamarca Danemark [Livros de Herman H. J. Lynge & Son] € 87,29 Comprar
‎"BERNOULLI, JOHANN.‎ ‎De centro Turbinationis inventa nova. - [BERNOULLI ON THE MOVEMENT OF A PENDULUM]‎ ‎Leipzig, Grosse & Gleditsch, 1715. 4to. In: ""Acta Eruditorum Anno MDCCXV"". The entire volume offered in contemporary full vellum. Hand written title on spine. A yellow label pasted on to top of spine. A small stamp to title-page and free front end-paper. Library label to pasted down front free end-paper. As usual with various browning to leaves and plates. Pp. 242-57 + one engraved plate. [Entire volume: (2), 549, (41) pp. + seven engraved plates.].‎ ‎First publication of Bernoulli's important contribution the properties of a pendulum. The offered volume contains many other papers by influential contemporary mathematicians, philosophers and historians.‎ Referência livreiro : 44072	Livre Rare Book Herman H. J. Lynge & Son Copenhagen Denmark Dinamarca Dinamarca Danemark [Livros de Herman H. J. Lynge & Son] € 376,04 Comprar
‎"BERNOULLI, JOHANN.‎ ‎Perfectio regulae suae editae in Libro Gall. Analyse des infiniment petits art. 163. pro determinando valore fractionis, cujus Numerator et Denominator certo casu evanescunt‎ ‎Leipzig, Grosse & Gleditsch, 1704. 4to. In: ""Acta Eruditorum Anno MDCCIV"". The entire volume offered in contemporary full vellum. Hand written title on spine. A yellow label pasted on to top of spine. Two small stamps to title-page and free front end-paper. Library label to pasted down front free end-paper. As usual with various browning to leaves and plates. Pp. 375-80. [Entire volume: (2), 592 pp. + six engraved plates.].‎ ‎First printing of Bernoulli's paper on infiniti series. Many other papers by influential contemporary mathematicians, philosophers and historians are to be found in the present volume.‎ Referência livreiro : 44107	Livre Rare Book Herman H. J. Lynge & Son Copenhagen Denmark Dinamarca Dinamarca Danemark [Livros de Herman H. J. Lynge & Son] € 322,32 Comprar
‎"BERNOULLI, JOHANN (+) DANIEL BERNOULLI.‎ ‎Demonstratio constructionis editae in Actis Lips. 1724 M. Jul. pro describenda Trajectoria reciproca, quae inter omnes algebraicas possibiles sit simplicissima [Johann B.] (+) Esplanatio Notationum suarum [Daniel B.].‎ ‎Leipzig, Grosse & Gleditsch, 1725. 4to. In: ""Acta Eruditorum Anno MDCCXXV"". The entire volume offered in contemporary full vellum. Hand written title on spine. A yellow label pasted on to top of spine. Two small stamps to title-page and free front end-paper. Library label to pasted down front free end-paper. As usual with various browning to leaves and plates. [Johann Bernoulli's paper:] Pp. 318-25"" [Daniel Bernoulli's paper:] Pp. 470-474. [Entire volume: (2), 54, (37) pp. + five engraved plates.].‎ ‎First printing of two paper's by father and son: Johann and Daniel Bernoulli. Daniel Bernoulli paper is a solution to the Riccati-equation: ""Using the first of the two transformations in [The Riccati-equation], Bernoulli succeded in constructing solutions of ""an inifinite number"" of Riccati equations for those values of n for which a solution can be expressed in finite terms. Bernoulli published these solutions in Acta Eruditorum for 1725 [the present paper]. (Greenberg. The problem of the earth's shape from Newton to Clairaut. P. 573).The offered volume contains many other papers by influential contemporary mathematicians, philosophers and historians.‎ Referência livreiro : 44108	Livre Rare Book Herman H. J. Lynge & Son Copenhagen Denmark Dinamarca Dinamarca Danemark [Livros de Herman H. J. Lynge & Son] € 376,04 Comprar
‎"BERNOULLI, JOHANN.‎ ‎Methodus commoda et naturalis reducendi Quadraturas transcendentes cujusvis gradus ad Longitudines Curvarum algebraicarum.‎ ‎Leipzig, Grosse & Gleditsch, 1724. 4to. In: ""Acta Eruditorum Anno MDCCXXIV"". The entire volume offered in contemporary full vellum. Hand written title on spine. A yellow label pasted on to top of spine. A small stamp to title-page and free front end-paper. Library label to pasted down front free end-paper. As usual with various browning to leaves and plates. Pp. 356-66. [Entire volume: (2), 543, (43) pp. + five engraved plates.].‎ ‎First printing of one of the famous Swizz mathematician Johann Bernoulli's papers. He is known for his contributions to the infinitesimal calculus and educated Leonhard Euler in his youth.The offered volume contains many other papers by influential contemporary mathematicians, philosophers and historians.‎ Referência livreiro : 44109	Livre Rare Book Herman H. J. Lynge & Son Copenhagen Denmark Dinamarca Dinamarca Danemark [Livros de Herman H. J. Lynge & Son] € 295,46 Comprar
‎"BERNOULLI, JOHANN.‎ ‎Theorema novum habens utilitatem in dividendis multiplicandisque angulis, nec non in condendis Tabulis sinuum, tangentium et secantium.‎ ‎Leipzig, Grosse & Gleditsch, 1722. 4to. In: ""Acta Eruditorum Anno MDCCXXII"". The entire volume offered in contemporary full vellum. Hand written title on spine. A yellow label pasted on to top of spine. A small stamp to title-page and free front end-paper. Library label to pasted down front free end-paper. As usual with various browning to leaves and plates. [Johann Bernoulli's paper:] Pp. 361-70. [Entire volume: (2), 571, (35) pp. + six engraved plates.].‎ ‎First printing of this original contribution by the famous Swiss mathematician Johann Bernoulli.The offered volume contains many other papers by influential contemporary mathematicians, philosophers and historians.‎ Referência livreiro : 44192	Livre Rare Book Herman H. J. Lynge & Son Copenhagen Denmark Dinamarca Dinamarca Danemark [Livros de Herman H. J. Lynge & Son] € 322,32 Comprar
‎"BERNOULLI, NICLAUS.‎ ‎De trajectoriis curvas ordinatim positione datas ad angulos rectos vel alia date lege secantibus.‎ ‎Leipzig, Grosse & Gleditsch, 1718. 4to. In: ""Acta Eruditorum Anno MDCCXVIII"". The entire volume offered in contemporary full vellum. Hand written title on spine. A yellow label pasted on to top of spine. A small stamp to title-page and free front end-paper. Library label to pasted down front free end-paper. As usual with various browning to leaves and plates. Pp. 248-262. [Entire volume: Pp. (4), 564, (40) + five engraved plates.].‎ ‎First printing of Bernoulli's paper on trajectories. The volume contains many other papers by influential contemporary mathematicians, philosophers and historians.‎ Referência livreiro : 44195	Livre Rare Book Herman H. J. Lynge & Son Copenhagen Denmark Dinamarca Dinamarca Danemark [Livros de Herman H. J. Lynge & Son] € 322,32 Comprar
‎"BERNOULLI, JOHANN.‎ ‎Meditatio de natura Centri Oscillationis, ejusque in Pendulis composites, tam quae in Liquoribus quam in Vacuo agitantur, determinandi Regula, novo et certiori quam hactenus fundamento suffulta. - [BERNOULLI ON THE COMPOUND PENDULA]‎ ‎Leipzig, Grosse & Gleditsch, 1714. 4to. In: ""Acta Eruditorum Anno MDCCXIV"". The entire volume offered in contemporary full vellum. Hand written title on spine. A yellow label pasted on to top of spine. A small stamp to title-page and free front end-paper. Library label to pasted down front free end-paper. As usual with various browning to leaves and plates. Pp. 257-72 + one engraved plate. [Entire volume: Pp. (2), 565, (41) + four engraved plates.].‎ ‎First printing of this influential Bernoulli-paper on the compound pendula. This paper is one of the earliest examples of his work collected under the title ""dynamics"". This group of works were written over a span of thirty years in which he occupied himself both with compound pendula, the study of trajectories and laws of dynamics. His early papers, including the present, are usually regarded as being ""provocative and verbose"". (Villagio. Die Weke Von Johann I Und Nicolaus II Bernoulli. P. 29).Bernoulli had earlier published studies on the compound pendula, but he had been stimulated to reconsider the problem by Leibnitz (Ibid.). The offered volume contains many other papers by influential contemporary mathematicians, philosophers and historians.‎ Referência livreiro : 44262	Livre Rare Book Herman H. J. Lynge & Son Copenhagen Denmark Dinamarca Dinamarca Danemark [Livros de Herman H. J. Lynge & Son] € 564,06 Comprar
‎"KEILL, IOANNES [JOHN KEILL] (+) CHRISTIANUS WOLFFIUS [CHRISTIAN WOLFF].‎ ‎Epistola ad Clarissimum Virum Christianum Wolfium in Academia Regio Fridericiana Mathematum Professorem [Keill] (+) Responsio ad epistolam viri clarissimi Johannis Keill (+) Monitum circa experimentum de circulatione aeris per poros ligni [Wolf].‎ ‎Leipzig, Grosse & Gleditsch, 1710. 4to. In: ""Acta Eruditorum Anno MDCCX"". The entire volume offered in contemporary full vellum. Hand written title on spine. A yellow label pasted on to top of spine. Two small stamps to title-page and free front end-paper. Library label to pasted down front free end-paper. As usual with various browning to leaves and plates. Pp. 11-15" Pp. 78-80 Pp. 80-1. [Entire volume: Pp. (4), 535, (37) + seven engraved plates.].‎ ‎First publication of the dispute between the mathematician Keill and philosopher Wolf about the existence of vacuum. Wolf is widely regarded the most eminent German philosopher between Leibniz and Kant.The offered volume contains many other papers by influential contemporary mathematicians, philosophers and historians.‎ Referência livreiro : 44263	Livre Rare Book Herman H. J. Lynge & Son Copenhagen Denmark Dinamarca Dinamarca Danemark [Livros de Herman H. J. Lynge & Son] € 349,18 Comprar
‎"EULER, [LEONHARD].‎ ‎Theorie plus complette des machines qui sont mises en mouvement par la reaction de l'eau (+) De la variation de la latitude des etoiles fixes et de l'obliquite de l'ecliptique.‎ ‎(Berlin, Haude et Spener, 1756). 4to. No wrappers as issued in ""Memoires de l'Academie Royale des Sciences et Belles Lettres"". tome X, pp. 227-295"" pp. 296-336.‎ ‎First printing of two influential and important Euler papers. In THEORIE PLUS COMPLETTE (i.e. A more complete theory of machines which are activated by their reaction to water), Euler's seminal and most in-depth paper on hydraulics regarding fluid driven turbines. Euler goes into the entire theory of his main idea of Recherches sur l'effet d'un machine hydraulique proposée par M. Segner, professeur à Goettingue (E179) in greater generality. He then proceeds to calculate the optimum proportions for his proposed turbine. His treament is so complete that an engineer today could use his calculations to design a turbine. He opens the paper with the statement that ""Having already explained in some reports the effect that the machine projected by Mr de Segner is capable of producing, I here propose to develop the same in greater detail"". In DE LA VARIATION DE LA LATITUDE he is concerned about the variation of latitude of fixed stars and the obliquity of the ecliptic).See Eneström E222, E223.‎ Referência livreiro : 44264	Livre Rare Book Herman H. J. Lynge & Son Copenhagen Denmark Dinamarca Dinamarca Danemark [Livros de Herman H. J. Lynge & Son] € 604,35 Comprar
‎"EULER, [LEONHARD].‎ ‎Reflexions sur un probleme de geometrie traite par quelques geometres et qui es neanmoins impossible (+) Recherches physiques sur la diverse refrangibilite des rayons de lumiere. - [EULER ON LIGHT RAYS]‎ ‎(Berlin, Haude et Spener, 1756). 4to. No wrappers as issued in ""Memoires de l'Academie Royale des Sciences et Belles Lettres"". tome X, pp. 173-199" pp. 200-226.‎ ‎First printing of two Euler-papers in which he occupies himself with an unsolvable geometric problem and the physics of the different refrangibilities of light rays, a field Euler made important and original contributions to. Euler's wave theory of light, published in 1746, was based on an analogy between sound and light to a more and more mathematical elaboration on that notion. His wave theory degenerated, and it was not until Fresnel introduced transverse waves and an elaborate notion of interference that the wave theory again progressed. He was the second after Christian Huygens to proposed a wave theory of light, and thereby one of the earliest to argue against Newton's particle theory of light. His 1740s papers on optics helped ensure that the wave theory of light proposed by Christian Huygens would become the dominant mode of thought until the development of the quantum theory of light.See Eneström E220, E221.‎ Referência livreiro : 44265	Livre Rare Book Herman H. J. Lynge & Son Copenhagen Denmark Dinamarca Dinamarca Danemark [Livros de Herman H. J. Lynge & Son] € 564,06 Comprar
‎"EULER, [LEONHARD].‎ ‎Recherches sur les lunettes a trois verres qui representent les objets renverses. - [EULER ON GLASSES WITH THREE LENSES]‎ ‎(Berlin, Haude et Spener, 1759). 4to. No wrappers as issued in ""Memoires de l'Academie Royale des Sciences et Belles Lettres"". tome X, pp. 323-372.‎ ‎First printing of this paper in which Euler made important research into the field of optics and how to construct glasses with three lenses. ""Euler composed his object-glasses of two bi-convex lenses of crown-glas, and a bi-concave of flint, to form a triple object-glass of six lines focal distance with a large aperture"" and it is because our microscope is achromatic that it is established on the principles of Euler."" (Brewster. The Edinburgh journal of science. P. 225).See Eneström E240.‎ Referência livreiro : 44266	Livre Rare Book Herman H. J. Lynge & Son Copenhagen Denmark Dinamarca Dinamarca Danemark [Livros de Herman H. J. Lynge & Son] € 295,46 Comprar
‎"EULER, [LEONHARD].‎ ‎Recherches sur la veritable courbe que decrivent les corps jettes dans l'air ou dans un autre fluide quelconque.‎ ‎(Berlin, Haude et Spener, 1755). 4to. No wrappers as issued in ""Memoires de l'Academie Royale des Sciences et Belles Lettres"". tome IX, pp. 321-352.‎ ‎First printing of this Euler-paper in which he examines curves of airborne bodies. Euler describes how the forces acting on a cannonball give different differential equations for the ascending branch than for descending branch. See Eneström E217.‎ Referência livreiro : 44267	Livre Rare Book Herman H. J. Lynge & Son Copenhagen Denmark Dinamarca Dinamarca Danemark [Livros de Herman H. J. Lynge & Son] € 268,60 Comprar
‎"EULER, [LEONHARD].‎ ‎Recherche sur une nouvelle maniere d'elever de l'eau proposee par M. de Mour. - [EULER ON HOW TO RAISE WATER]‎ ‎(Berlin, Haude et Spener, 1753). 4to. No wrappers as issued in ""Memoires de l'Academie Royale des Sciences et Belles Lettres"". tome VII, pp. 305-330 + two engraved plates.‎ ‎First printing of Euler's paper on how to raise water, which was a study written on the background of his - unsuccessful - garden-project in Frederick the Great's large complex of summer palaces, Sanssouci where Euler was asked to design the pumps to the many fountains. ""I wanted to make a fountain in my Garden"", Frederic the Great wrote to Voltaire on 25 January 1778. But the water-art project ended in a fiasco. The fountain design was supposed to be executed according to the latest knowledge in hydraulics and should even surpass Versailles with its splendor. ""Euler calculated the effort of the wheels for raising the water to a basin, from where it should fall down through canals, in order to form a fountain jet at Sans-Souci. My mill was constructed mathematically, and it could not raise one drop of water to a distance of fifty feet from the basin.""Since then the fiasco at Sanssouci stands out as an example for the gulf between theory and practice. And Leonhard Euler, the mathematical genius from Basel, became a target of mockery and malicious joy"". (Michael Eckert: Euler and the Fountains of Sanssouci).See Enetröm E202.‎ Referência livreiro : 44268	Livre Rare Book Herman H. J. Lynge & Son Copenhagen Denmark Dinamarca Dinamarca Danemark [Livros de Herman H. J. Lynge & Son] € 510,34 Comprar
‎"HERMANNUS, JACOBUS [HERMANN, JAKOB].‎ ‎De nova accelerationis lege, qua gravia versus terram seruntur, suppositis Motu siurno terrae et vi gravitatis constanti.‎ ‎Leipzig, Grosse & Gleditsch, 1709. 4to. In: ""Acta Eruditorum Anno MDCCIX"". The entire volume offered in contemporary full vellum. Hand written title on spine. A yellow label pasted on to top of spine. Two small stamps to title-page and free front end-paper. Library label to pasted down front free end-paper. As usual with various browning to leaves and plates. Pp. 404-11. [Entire volume: Pp. (2), 547, (45) + eleven engraved plates.].‎ ‎First printing of Swiss mathematician Jakob Hermann's paper on gravity. Hermann was a talented mathematician who was taught by Jakob Bernoulli and became friends with Leibnitz. (DSB VI, Pp. 304b-5a).The offered volume contains many other papers by influential contemporary mathematicians, philosophers and historians.‎ Referência livreiro : 44269	Livre Rare Book Herman H. J. Lynge & Son Copenhagen Denmark Dinamarca Dinamarca Danemark [Livros de Herman H. J. Lynge & Son] € 295,46 Comprar
‎"KLEENE, S. C. [STEPHEN COLE].‎ ‎On Notation for Ordinal Numbers.‎ ‎Wisconsin, The Association for Symbolic Logic, 1938-39. Lev8vo. Entire volume one of ""Journal of Symbolic Logic"" (i.e. number 1-4), March 1938, June 1938, October 1938, January 1939. Bound in blue half cloth with gilt lettering to spine. Crossed-out library paper-label to lower part of spine and top left corner of front board. Two library stamps (in Chinese) to verso of title page. Internally a very fine and clean copy of the entire volume. [Kleene:] Pp. 150-55. [Entire volume: IV, 212 pp.].‎ ‎First printing Kleene's milestone paper in which Kleene's O (Ordial numbers), a recursive function, is introduced. In set theory and computability theory, Kleene's is a canonical subset of the natural numbers when regarded as ordinal notations.""In the seventeenth century, Leibniz envisaged a universal language that would allow one to reduce mathematical proofs to simple computations. Then, during the nineteenth century, llgicians such as Charles Babbage, Boole, Frege and Peano tried to formalize mathematical reasoning by an ""algebraization"" of logic. Finally, [...] Gödel, Church and Stephen Kleene introduced the notion of recursive functions. (The Princeston Companion to Mathematics. P. 111).The volume also contains the following papers of interest:1. Quine, W. V. Completeness of the propositional calculus. Pp. 37-402. Quine, W. V. On the theory of types. Pp. 125-39.3. Church, Alonzo. Additions and corrections to A bibliography of symbolic logic. Pp. 178-92.‎ Referência livreiro : 44273	Livre Rare Book Herman H. J. Lynge & Son Copenhagen Denmark Dinamarca Dinamarca Danemark [Livros de Herman H. J. Lynge & Son] € 604,35 Comprar
‎ACTA ERUDITORUM - [VARIOUS AUTHORS, SEE BELOW].‎ ‎Actorum Eruditorum. Supplementa. Tomus I.‎ ‎Leipzig, Grosse & Gleditsch, 1692. 4to. The entire volume offered in contemporary full vellum. Hand written title on spine. A yellow label pasted on to top of spine. Two small stamps to title-page and free front end-paper. Library label to pasted down front free end-paper. As usual with various browning to leaves and plates. (4), 639, (5) pp. + drvrn engraved plates.].‎ ‎First printing of this issue of the important and exceedingly influential journal Acta Eruditorum containing the following papers:1. Giannettasius, Nicolaus Parthenius. Piscatoria et nautica (Neapoli 1686, Rezension). Pp.1-5. 2. Eschinardus, Franciscus. Epistola ... in qua discursus physico-mathematici quidam continentur/Lettera ... nella quale si contengono alcuni discorsi fisico-mathematici (Romae 1681, Rezension). Pp. 5-9. 3. de Bonnatis, Antonius Franciscus. Universa astrosophia naturalis (Patavii 1687, Rezension). Pp. 9-12. 4. de Beatiano, Julius Caesar. Mercurius heraldicus Fecialis Venetus/Il Mercurio araldico in Italia" L'araldo Veneto (Venetiis 1686, Rezension). Pp. 12-14.5. Anonymus. Tentamen anatomicum, in quo clare explicatur constructio organorum, eorumque operatio mechanica /Essais d'anatomie ... (Lugduni Batavorum 1686, Rezension). Pp. 48-9.6. Starkey, Georgius. Medulla verae chymiae/Het pit der waare chymie ... (Leowardiae 1687, Rezension). Pp. 49-51.7. Thiers, Ioannes Baptista. Tractatus de ludis et recreationibus/Traité des jeux es des divertissements (Parisiis 1686, Rezension). Pp. 51-55.8. Lamy, Bernardus Elementa geometriae seu mesurae corporis/Les elemens de geometrie, ou de la mesure du corps ... (Parisiis 1685, Rezension). Pp. 94-5.9. Griendelius ab Ach, Ioannes Franciscus. Micrographia nova (Norimbergae 1687, Rezension). Pp. 95-6.10. Picardus (de la Hire (ed.)). Tractatus de libellatione/Traité du nivellement ... (Parisiis 1686, Rezension). Pp. 96-9.11. Bio" Moschus (de Longepierre (conv.)). Idyllia Bionis et Moschi/Les idylles de Bion et de Moschus (Parisiis 1686, Rezension). Pp. 99-102.12. Leeuwenhoek, Antonius Anatomia. Seu interiora rerum cum animaliusm tum inanimatarum, ope et beneficio exquisitissimorum microscopiorum detecta (Lugduni Batavorum 1687, Rezension). Pp. 102-6.13. Agricola, Ioannes (Jungkens, Ioannes Helfricus (ed.)). Notae in Poppii medicamenta chymica/Deutliche und wohlgegründete Anmerckung über die Chymische Artzeneyen Johannis Poppii ... (Noribergae 1686, Rezension). Pp. 106-10. 14. Lemee, Franciscus.Tractatus de statuis/Traité des statues (Parisiis 1688, Rezension)Pp. 110-1.15. Rajus, Ioannes. Historiae plantarum tomus II. (Londini 1688, Rezension). Pp. 111-13.16. Redus, Franciscus. Bacchus in Hetruria/Bacco in Toscana (Florentiae 1685, Rezension). Pp. 113-118.17. Botelerius, Nathaniel. De servitiis et expeditionibus nauticis dialogi sex/Six Dialogues about Sea-Services (Londini 1685, Rezension). Pp. 125-6. 18. Aurelius Prudentius Clemens (Chamillardus, Stephanus (ed.)). Opera (Parisiis 1687, Rezension). Pp. 126-37.19. Boyle, Robertus. Nova experimenta circa frigus .../New Experiments and Observations touching Cold, or an Experimental History of Cold begun ... (Londini 1683, Rezension). Pp. 137-44. 19. Halleius, Edmundus. De constructione problematum solidorum ... dissertatiuncula (Übernahme aus: Transactiones philosophicae Anglicanae, 1687, Junius/Augustus, nr. 188, p. 335.). Pp. 144-151.20. Mariotte (de la Hire (ed.)). De motu aquarum/Traité du mouvement des eaux et des autres corps fluides (Parisiis 1686, Rezension).21. Cornelius, Thomas. Progymnasmata physica (Neapoli 1688, Rezension).22. P.V.D. Observationes excerptae ex praelectionibus ... Theodori Craanen (Lugduni Batavorum 1687, Rezension).23. Starkey, Georgius. Pyrotechnia asserta et illustrata/Pyrotechnia, ofte vuur-stook-kunde vastgesteld en opgehelderd ... (Amstelodami 1687, Rezension).24. de Zeidlern, Sebastianus Christianus. Institutiones medicae (Pragae 1687, Rezension).25. Anonymus. Observationes nova, seu civile Gallorum super lingua vernacula bellum/Nouvelles observations, ou guerre civile des Francois sur la langue (Parisiis 1688, Rezension). 26. Aelianus, Claudius (Schefferus, Ioannes" Kuhnius, Joachim). Variae historiae libri XIV./Klaudiou Ailianou poikiles historias biblia id' (gr.) (Argentorati 1685, Rezension).27. Strausius, Laurentius. Isagoge physica (Ulmae 1684, Rezension).28. Meyerus, Cornelius. Ars restituendi Romae navigationem sui Tiberis hactenus intermissam/L'arte di restituire a Roma la tralasciata navigatione suo Tevere ... (Romae 1685, Rezension). 29. Werdmuellerus, Ioannes Jacobus. Lapis Lydius architectorum militarium/Der Probier-Stein der Ingenieure ... (Francofurti ad Moenum 1685, Rezension).30. Sütteringus, Daniel. Georgius Rimplerus contra J. Jac. Werdmüllerum defensus/Der in Wien todte ehrliche Sachse ... (Dresdae 1687, Rezension).(vgl. p. 243.) 31. Scanavacca, Bartholomaeus. Nova inventio describendi ... horologia solaria/Novissima inventione per disegnare ... (Patavii 1688, Rezension).32. Hookius, Robertus. Contenta discursus mechanici, comcernentis descriptionem optimae formae velorum horizontalium pro usu molarum, nec non fundamentum ... (Übernahme aus: Transactiones philosophicae Anglicanae, 1681, December, nr. 3, p. 61.).33. Brownius, Eduardus. Relatio de anatome struthiocameli (Übernahme aus: Transactiones philosophicae Anglicanae, 1682, Februarius, nr. 5, p. 147.).34. Jaegerus, Ioannes Wolfgangus. Tractatus moralis de juramentis (Stutgardiae 1687, Rezension).35. Jaegerus, Ioannes Wolfgangus. Tractatus de legibus (Tubingae 1688, Rezension).36. Brown, Thomas Opera/The Works ... (Londini 1686, Rezension).37. Deckherrus, Ioannes. De scriptis adepostis, pseudepigraphis et suppostitiis conjecturae (Amstelodami 1686, Rezension).38. Newhouse, Daniel. Universa ars nautica/The whole Art of Navigation ... (Londini 1686, Rezension).39. Listerus, Martinus Relatio ... de miro quodam et monstroso animali ... per vomitum ejecto (Übernahme aus: Transactiones philosophicae Anglicanae, 1682, Martius, nr. 6, p. 164.).40. Weichardus, Ioannes. ... methodus statuas ex metallo fundendi (Übernahme aus: Transactiones philosophicae Anglicanae, 1687, Januarius, nr. 186, p. 259.).41. P.T. Chemia rationalis (Lugduni Batavorum 1687, Rezension).42. de Gottignies, Aegidius Franciscus. Logistica universalis (Neapoli 1687, Rezension).43. Bellorius, Ioannes Petrus. Veterum illustrium philosophorum, poetarum, rhetorum et oratorum imagines (Romae 1685, Rezension).44. Menetrejus, Claudius" Holstenius, Lucas" Bellorius, Ioannes Petrus Symbolica Dianae Ephesiae statua" Epistola de verubus Dianae Ephesiae statua" Notae in numismata apibus insignita (Romae 1688, Rezension).45. Smith, Ioannes Discursus completus de natura, usu et recta tractatione baroscopii/A compleat Discourse of the Nature, Use and right Managing of the Baroscope or Quick-Silver Weather Glaß (Londini 1688, Rezension).45. Schmidt, Samuel. Hodegus epistolicus (Quedlinburgi 1688, Rezension).46. Plot, Robertus. Discursus de lampadibus antiquorum sepulcralibus (Übernahme aus: Transactiones philosophicae Anglicanae, 1684, December, nr. 166, p. 806.).47. Nicasius, Claudius. De numo pantheo Hadriani imperatoris (Lugduni 1689, Rezension).48. Nicasius, Claudius. Explicatio veteris monumenti .../Explication d'un ancien monument trouvé en Guienne dans de diocese d'Ausch (Parisiis 1689, Rezension).49. Commelinus, Ioannes. Catalogus plantarum horti medici Amstelodamensis. Pars I. (Amstelodami 1689, Rezension).50. Eschinardus, Franciscus. Cursus physico-mathematici pars I. (Romae 1689, Rezension).51. Gouye. Observationes physico-mathematicae, e regno Siam ... missae/Observations physiques et mathematiques, envoyées de Siam (Parisiis 1688, Rezension).52. Bartolus, Daniel Operum ... ea, quae moralia inscribuntur/Delle opere ... le morali (Romae 1684, Rezension).53. Weisenbornius, Ioannes. Nucleus artis logicae (Hildesiae 1689, Rezension).54. Seldenus, Janus. Colloquia mensalia/Table-Talk (Londini 1689, Rezension).55. Anonymus. Dissertatio de arthritide/Dissertation sur la goutte ... (Parisiis 1689, Rezension).(vgl. p. 591.) 56. de Villemandy, Petrus. Manuductio ad philosophiae Aristotelicae, Epicureae et Cartesianae parallelismum (Amstelodami 1685, Rezension).57. Averanus, Benedictus. Orationes (Florentiae 1688, Rezension).58. Wallerus, Richardus. Observationes de cicindela volante (Übernahme aus: Transactiones philosophicae Anglicanae, 1685, Januarius, nr. 167, p. 841.)59. Hookius, Robertus. Descriptio inventi, cuius auxilio divisiones barometri ad datam quamlibet proportionem ampliare licet (Übernahme aus: Transactiones philosophicae Anglicanae, 1686, December, nr. 185, p. 241.)60. Bernier, Ioannes. Conamina physica/Essais de Medecine (Parisiis 1689, Rezension).61. Foy-Vaillant, Ioannes. Numismata aerea imperatorum, augustorum et caesarum, in coloniis, municipiis et urbibus ... percussa (Parisiis 1688, Rezension).62. Harduinus, Ioannes. Antirrheticus de nummis antiquis (Parisiis 1689, Rezension).63. Mortonus, Richardus. Phthisiologia (Londini 1689, Rezension).64. Perraltius. Tentamina physica. Tomus IV./Essais de physique ... (Parisiis 1688, Rezension).65. Floyerus, Ioannes. Lapis Lydius medicamentorum/Pharmako-Basanos (gr.), or, the Touchstone of Medicines (Londini 1687" 1691, Rezension).66. Porschon, A. Tractatus novus de purpura, morbillis et variolis/Nouveau traitté du pourpre, de la rougeole et petite verole ... (Parisiis 1688, Rezension).67. Alexander Phoebammon Minutianus (Normannus, Laurentius (ed.)). De figuris sententiae atque elocutionis libri duo De sedibus argumentorum" De schematibus oratoriis/Peri ton tes dianoias schematon, kai peri ton tes lexeos schematon ... (gr.) (Upsaliae 1690, Rezension) 518 68. Hickesius, Georgius. Institutiones grammaticae Anglo-Saxonicae et Moeso-Gothicae (Oxonii 1689, Rezension).69. Solski, Stanislaus. Praxis nova et expeditissima geometrice mensurandi distantias, altitudines et profunditates (Cracoviae 1688, Rezension).70. Goad, Ioannes. Astro-Meteorologia sana (Londini 1690, Rezension).71. Ovidius Naso, Publius (Crispinus, Daniel (ed.)). Opera (Lugduni 1689, Rezension).72. Solski, Stanislaus. Geometra et architectus Polonus/Geometra y architekt Polski (Cracoviae 1683"1686 1690, Rezension).73. Aristarchus Pappus (Wallis, Ioannes). De magnitudine et distantiis solis et lunae liber Secundi libri mathematicae collectionis fragmentum/Peri megethon kai apostematon heliou kai selenes biblion ... (gr.) Tou tes synagioges bibliou b' apospasma (gr.) (Oxoniae 1688, Rezension).74. Fabrettus, Raphael. De columna Trajani syntagma (Romae 1683, Rezension).75. Giannettasius, Nicolaus Parthenius. Halieutica (Neapoli 1689, Rezension).76. Piso, Homobonus. Ultio antiquitatis in sanguinis circulationem (Cremonae 1690, Rezension).77. Rigordus Graverolus. Dissertatio historica de numo aliquo/Dissertation historique sur une medaille d'herodes Antipas (Parisiis 1689, Rezension).78. Bayle, Fridericus. Dissertatio quaestiones quasdam physicas et medicas explanans/Dissertations sur quelques questions de physique et de medecine ... (Tolosae 1688, Rezension)79. Paragallus, Casparus. Disquisitio circa causam terrae motuum /Ragionamento ... intorno alla cagione de tremonti (Neapoli 1689, Rezension).80. Anonymus. Responsum ad dissertationem de arthritide/Response a la dissertation sur la goutte (Parisiis 1690, Rezension).(vgl. p. 429.) 81. Desroches. Dictionarium nauticum/Dictionaires de termes propres de marine (Parisiis 1687, Rezension).82. de Launay. Praecepta necessaria in eorum consignata gratiam, qui herniis laborant/Instructions necessaires pour ceux qui sont incommodés des décentes ... (Parisiis 1690, Rezension).83. le Monnier, L. tractatus novus de morbo Venereo/Nouveau traitté de la maladie venerienne ... (Parisiis 1689, Rezension).84. Capuanus, Leonardus. De medicamentorum incertitudine discursus/Ragionamenti ... intorno alla incertezza de' medicamenti (Neapoli 1689, Rezension)‎ Referência livreiro : 44274	Livre Rare Book Herman H. J. Lynge & Son Copenhagen Denmark Dinamarca Dinamarca Danemark [Livros de Herman H. J. Lynge & Son] € 268,60 Comprar
‎"BERNOULLI, JOANN.‎ ‎Comparitio ad Anonymi Geometrae Britanni novam provocationem, ex occasione de trajectoriis reciprocis.‎ ‎Leipzig, Grosse & Gleditsch, 1723. 4to. In: ""Acta Eruditorum Anno MDCCXXIII"". The entire volume offered in contemporary full vellum. Hand written title on spine. A yellow label pasted on to top of spine. Two small stamps to title-page and free front end-paper. Library label to pasted down front free end-paper. As usual with various browning to leaves and plates. Pp. 75-9. [Entire volume: Pp. (2), 543, (55) + three engraved plates.].‎ ‎First printing of this paper by the influential Swiss mathematician Johann Bernoulli, known for his contributions to infinitesimal calculus and education of Leonhard Euler.The volume contains many other papers by influential contemporary mathematicians, philosophers and historians.‎ Referência livreiro : 44363	Livre Rare Book Herman H. J. Lynge & Son Copenhagen Denmark Dinamarca Dinamarca Danemark [Livros de Herman H. J. Lynge & Son] € 295,46 Comprar
‎"L'HOPITAL (L'HOSPITAL) LE MARQUIS DE.‎ ‎Solution d'un Probléme Physico-Mathematique.‎ ‎(Paris, Jean Boudot, 1703). 4to. Without wrappers. Extracted from ""Mémoires de l'Academie des Sciences. Année 1700"". Pp. 9-21 and 1 folded engraved plate.‎ ‎First appearance of a paper in mathematical physics in which L'Hospital - best known by his draft of the first treatise oof the differential calculus - in which he applies the new mathematical tool, the calculus to physics. ""L'Hospital was a major figure in the early development of the calculus on the continent of Europe. he advanced its cause not only by his scientific works but also by his many contacts, including correspondence with Leibniz, Jean Bernouilli, and with Huygens. Fontenelle tells us that it was he who introduced Huygens to the new calculus.""(DSB).‎ Referência livreiro : 44386	Livre Rare Book Herman H. J. Lynge & Son Copenhagen Denmark Dinamarca Dinamarca Danemark [Livros de Herman H. J. Lynge & Son] € 100,72 Comprar
‎"LEGENDRE, A.M.‎ ‎Die Elemente der Geometrie und der ebenen und sphärischen Trigonometrie. Aus dem Französischen übersetzt und mit Anmerkungen begleitet von A.L. Crelle. Vierte Auflage der Uebersetzung. (Nach der 12. Auflage des Originals).‎ ‎Berlin, Rücker & Pückler, 1844. Contemp. hcalf, spine gilt. Titlelabel somewhat torn with gilt lettering. Spine somewhat rubbed. X,379 pp. and 15 folded engraved plates. Some brownspots and browning to last leaves. A faint dampstain to last ca. 4o lvs. and plates.‎ ‎The first German edition of this famous textbook was published in 1822. ""This textbook was to dominate elementary instruction in the subject for almost a century"" (DSB VIII, 136).‎ Referência livreiro : 44417	Livre Rare Book Herman H. J. Lynge & Son Copenhagen Denmark Dinamarca Dinamarca Danemark [Livros de Herman H. J. Lynge & Son] € 60,43 Comprar
‎"WIENER, NORBERT.‎ ‎Nonlinear Problems in Random Theory.‎ ‎New York: The Technology Press of the Massachussetts Institute of Technology, John Wiley and Sons, Inc, 1958. 8vo. In the original green embossed full cloth with the original wrappers. Previous owner's stamp to front free end-paper. Wrappers with some wear, otherwise a very fine and clean copy. IX, (1), 131 pp.‎ ‎First edition, with author's signature to title page, of this seminal work within modelling of physiological systems. The book is ""an examination of the role of nonlinear processes in physics, mathematics, electrical engineering, physiology and communications theory."" (OOC 1004).""Wiener's seminal ideas on systems and cybernetics have shaped the entire field of systems science and have inspired it tremendous in the last 50 years. [...] Furthermore, Wiener's specific mathematical ideas for modeling nonlinear dynamic systems in a stochastic context, presented in his seminal monograph [the present], have provided great impetus to our collective efforts for modeling physiological systems."" (Marmarelis, Nonlinear dynamic modeling of physiological systems. P. 142).See Origins of Cyberspace 1004.‎ Referência livreiro : 44426	Livre Rare Book Herman H. J. Lynge & Son Copenhagen Denmark Dinamarca Dinamarca Danemark [Livros de Herman H. J. Lynge & Son] € 335,75 Comprar
‎"HILBERT, DAVID.‎ ‎Ueber die Darstellung definiter Formen als Summen von Formenquadraten.‎ ‎Leipzig, B.G. Teubner, 1888. 8vo. Original printed wrappers, no backstrip. In ""Mathematische Annalen. Begründet durch Rudolf Friedrich Alfred Clebsch. XXXII. [32] Band. 3. Heft."" Entire issue offered. [Hilbert:] Pp. 342-50. [Entire issue: Pp. 309-456].‎ ‎First publication of Hilbert's fundamental and exceedingly important paper on real algebraic geometry. ""In 1888, David Hilbert published an influential paper [the present] which became fundamental for real algebraic geometry, and which remains an inspiring source for research even today."" (Pfister & Scheiderer). David Hilbert, one of the most influential mathematicians of the 19th and early 20th centuries, is probably best known for the ""Hilbert Problems"" - a list of twenty-three problems in mathematics all unsolved at the time, and several of them were very exceedingly influential for 20th century mathematics.He is regarded as one of the founders of proof theory and mathematical logic, as well as for being among the first to distinguish between mathematics and metamathematics.""Hermann Weyl described his teacher Hilbert's style: ""It is as if you were on a swift walk through a sunny open landscape" you look freely around, demarcation lines and connecting roads are pointed out to you, before you must brace yourself to climb the hill" then the path goes straight up."" (Princeton Companion to Mathematics).‎ Referência livreiro : 44427	Livre Rare Book Herman H. J. Lynge & Son Copenhagen Denmark Dinamarca Dinamarca Danemark [Livros de Herman H. J. Lynge & Son] € 470,05 Comprar
‎"HILBERT, DAVID.‎ ‎Ueber die Vollen Invariantensysteme.‎ ‎Leipzig, B.G. Teubner, 1893. 8vo. Original printed wrappers, no backstrip. In ""Mathematische Annalen. Begründet 1893 durch Alfred Clebsch und Carl Neumann. 42. Band. 3. Heft."" Entire issue offered. [Hilbert:] Pp. 314-73. [Entire issue: Pp. 314-604].‎ ‎First printing of Hilbert's fundamental landmark paper in which he ""INTRODUCED STUNNING NEW IDEAS WHICH HAVE DEEPLY INFLUENCED THE DEVELOPMENT OF MODERN ALGEBRA AND ALGEBRAIC GEOMETRY."" (Buchberger. Gröbner bases and applications. P. 63). The ideas presented in the present paper was introduced in his 1890-paper, but here he ""called attention to the fact that his earlier results failed to give any idea of how a finite basis for a system of invariants could actually be construted. [...] To show how these drawbacks could be overcome, Hilbert thus adopted an even more general standpoint [...]. He described the guiding idea of this culminating paper of 1893 as invariants could actually be constructed"". (Hendricks. Proof theory: history and philosophical significance. P. 59) Hilbert's first work on invariant functions led him to the demonstration in 1888 of his famous finiteness theorem. Twenty years earlier, Paul Gordan had demonstrated the theorem of the finiteness of generators for binary forms using a complex computational approach. Attempts to generalize his method to functions with more than two variables failed because of the exceedingly complicated calculations involved. Hilbert realized that it was necessary to take a completely different path. Hilbert sent his results to the Mathematische Annalen. Gordan, the expert on the theory of invariants for the Mathematische Annalen, did not appreciate the revolutionary nature of Hilbert's theorem and rejected the article. His - now famous - comment was: Das ist nicht Mathematik. Das ist Theologie. (i.e. This is not Mathematics. This is Theology).Klein, on the other hand, recognized the importance of the work immediately, and guaranteed that it would be published without the slightest alterations. Encouraged by Klein and by the comments of Gordan, Hilbert extended his method in a second article, providing estimations on the maximum degree of the minimum set of generators, and he sent it once more to the Annalen. After having read the manuscript, Klein wrote to him, saying: ""WITHOUT DOUBT THIS IS THE MOST IMPORTANT WORK ON GENERAL ALGEBRA that the Annalen has ever published.""Later, after the usefulness of Hilbert's method was universally recognized, Gordan himself said: ""I have convinced myself that even theology has its merits"".(Klein. Development of mathematics in the 19th century. P. 311).‎ Referência livreiro : 44428	Livre Rare Book Herman H. J. Lynge & Son Copenhagen Denmark Dinamarca Dinamarca Danemark [Livros de Herman H. J. Lynge & Son] € 604,35 Comprar
‎"[FOLADARE, JOSEPH ET AL].‎ ‎Rocket Ballistic Data. Fin-stabilized and Spin-stabilized Rockets. - [RESTRICTED REPORT ON BALLISTIC ROCKET-CURVES]‎ ‎California, California Institute of Technology, 1946. Royal8vo. In the original blue full cloth. Minor wear to extrimities, othervise a very fine and clean copy. XIV, 406 pp.‎ ‎First printing of this restricted report on ballistic rocket-curves. The back of half title states that: ""This document contains information affecting the National Defense of the United States within the meaning of the Espionage Act, U.S.C. 50"" 31 and 32. Its transmission of the revelation of its contents in any manner to an unauthorized person is prohibited by law."" The report contains a ballistic analysis of 65 different types of rocket from chemical warfare rockets, demolition rockets to forward-firing aircraft rockets and rocket grenades.‎ Referência livreiro : 44429	Livre Rare Book Herman H. J. Lynge & Son Copenhagen Denmark Dinamarca Dinamarca Danemark [Livros de Herman H. J. Lynge & Son] € 241,74 Comprar
‎"HILBERT, DAVID.‎ ‎Ueber die Endlichkeit des Invariantensystems für binäre grundformen (+) Ueber Büschel von binären Formen mit vorgeschriebener Functionaldeterminante. - [""WITHOUT DOUBT THIS IS THE MOST IMPORTANT WORK ON GENERAL ALGEBRA""]‎ ‎Leipzig, B.G. Teubner, 1888. 8vo. Original printed wrappers, no backstrip and a small nick to front wrapper. In ""Mathematische Annalen. Begründet 1888 durch Rudolf Friedrich Alfred Clebsch. XXXIII.[33] Band. 2. Heft."" Entire issue offered. Internally very fine and clean. [Hilbert:] Pp. 223-6"" Pp.227-36 [Entire issue: Pp. 161-316].‎ ‎First printing of Hilbert's exceedingly important and groundbreaking paper in which he proved his famous Basis Theorem that is, if every ideal in a ring R has a finite basis, so does every ideal in the polynomial ring R[x]. Hilbert had thus connected the theory of invariants to the fields of algebraic functions and algebraic varieties. When Felix Klein read the paper he wrote ""I do not doubt that this is the most important work on general algebra that the Mathematische Annalen has ever published.""Hilbert submitted a paper proving the finite basis theorem to Mathematische Annalen. However Gordan was the expert on invariant theory for the journal and he found Hilbert's revolutionary approach difficult to appreciate. He refereed the paper and sent his comments to Klein:""The problem lies not with the form ... but rather much deeper. Hilbert has scorned to present his thoughts following formal rules, he thinks it suffices that no one contradict his proof ... he is content to think that the importance and correctness of his propositions suffice. ... for a comprehensive work for the Annalen this is insufficient.""Gordan rejected the article. His - now famous - comment was: Das ist nicht Mathematik. Das ist Theologie. (i.e. This is not Mathematics. This is Theology).However, Hilbert had learnt through his friend Hurwitz about Gordan's letter to Klein and Hilbert wrote himself to Klein in forceful terms:""... I am not prepared to alter or delete anything, and regarding this paper, I say with all modesty, that this is my last word so long as no definite and irrefutable objection against my reasoning is raised.""At the time Klein received these two letters from Hilbert and Gordan, Hilbert was an assistant lecturer while Gordan was the recognised leading world expert on invariant theory and also a close friend of Klein's. However Klein recognised the importance of Hilbert's work and assured him that it would appear in the Annalen without any changes whatsoever, as indeed it did. Hilbert expanded on his methods in a later paper, again submitted to the Mathematische Annalen [1893] and Klein,after reading the manuscript, wrote to Hilbert saying:-I do not doubt that this is the most important work on general algebra that the Annalen has ever published.Later, after the usefulness of Hilbert's method was universally recognized, Gordan himself said: ""I have convinced myself that even theology has its merits"".(Klein. Development of mathematics in the 19th century. P. 311).Sometimes Hilbert's first publication of the Basis Theorem is referred to as being published in the paper ""Zur Theorie der algebraischen Gebilde"" in Göottinger Nachrichten in 1888. This, however, was published in December 1888 and the present issue was published in March.‎ Referência livreiro : 44430	Livre Rare Book Herman H. J. Lynge & Son Copenhagen Denmark Dinamarca Dinamarca Danemark [Livros de Herman H. J. Lynge & Son] € 805,80 Comprar
‎"POINCARÉ, HENRI (+) FELIX KLEIN.‎ ‎Sur les Fonctions Uniformes qui se reproduisent par des Substitutions Linéaires (+) [Klein's introduction to the present paper].‎ ‎Leipzig, B.G. Teubner, 1882. 8vo. Original printed wrappers, no backstrip. In ""Mathematische Annalen. Begründet 1882 durch Rudolf Friedrich Alfred Clebsch. XIX. [19] Band. 4. Heft."" Entire issue offered. [Poincaré:] Pp. 553-64. [Entire issue: Pp. 435-594].‎ ‎First printing of Poincaré's paper on his comprehensive theory of complex-valued functions which remain invariant under the infinite, discontinuous group of linear transformations. In 1881 Poincaré had published a few short papers with some initial work on the topic, and in the 1881, Klein invited Poincaré to write a longer exposition of his results to Mathematische Annalen which became the present paper. This, however, turned out to be an invitation to at mathematical dispute:""Before the article went to press, Klein forewarned Poincaré that he had appended a note to it in which he registered his objections to the terminology employed therein. In particular, Klein disputed Poincaré's decision to name the important class of functions possessing a natural boundary circle after Fuch's, a leading exponent of the Berlin school. The importance he attached to this matter, however, went far beyond the bounds of conventional priority dispute. True, Klein was concerned that his own work received sufficient acclaim, but the overriding issue hinged on whether the mathematical community would regard the burgeoning research in this field as an outgrowth of Weierstrassian analysis or the Riemannian tradition."" Parshall. The Emergence of the American Mathematical Research Community. Pp. 184-5.The issue contains the following important contributions by seminal mathematicians:1. Klein, Felix. Ueber eindeutige Functionen mit linearen Transformationen in sich. Pp. 565-68.2. Picard, Emile. Sur un théorème relatif aux surfaces pour lesquelles les coordnnées d´un point quelconque s´experiment par des fonctions abéliennes de deux paramètres. Pp. 578-87.3. Cantor, Georg. Ueber ein neues und allgemeines Condensationsprincip der Singularitäten von Functionen. Pp. 588-94.‎ Referência livreiro : 44432	Livre Rare Book Herman H. J. Lynge & Son Copenhagen Denmark Dinamarca Dinamarca Danemark [Livros de Herman H. J. Lynge & Son] € 429,76 Comprar
‎"KILLING, WILHELM.‎ ‎Die Zusammensetzung der stetigen endlichen Transformationsgruppen. - [THE FOUNDATION OF A STRUCTURE THEORY FOR LIE ALGEBRAS]‎ ‎Leipzig, B.G. Teubner, 1888. 8vo. Original printed wrappers, no backstrip. In ""Mathematische Annalen. Begründet 1888 durch Rudolf Friedrich Alfred Clebsch. XXXIII. [33] Band. 1. Heft."" Entire issue offered. Wrappers with a few nicks, internally fine and clean. [Killing:] Pp. 1-48. [Entire issue: Pp. IV,160 pp].‎ ‎First publication of Killing's seminal paper in which he laid the foundation of a structure theory for Lie algebras.""In particular he classified all the simple Lie algebras. His method was to associate with each simple Lie algebra a geometric structure known as a root system. He used linear transformation, to study and classify root systems, and then derived the structure of the corresponding Lie algebra from that of the root system.""(Companion Encyclopedia of the History and Philosophy of the Mathematical Sciences)Unfortunately for Killing a myth arose that his work was riddled with error, which later has been proved untrue. ""As a result, many key concepts that are actually due to Killing bear names of later mathematicians, including ""Cartan subalgebra"", ""Cartan matrix"" and ""Weyl group"". As mathematician A. J. Coleman says, ""He exhibited the characteristic equation of the Weyl group when Weyl was 3 years old and listed the orders of the Coxeter transformation 19 years before Coxeter was born.""The theory of Lie groups, after the Norwegian mathematician Sophus Lie, is a structure having both algebraic and topological properties, the two being related.‎ Referência livreiro : 44433	Livre Rare Book Herman H. J. Lynge & Son Copenhagen Denmark Dinamarca Dinamarca Danemark [Livros de Herman H. J. Lynge & Son] € 241,74 Comprar
‎"KILLING, WILHELM.‎ ‎Zur projectiven Geometrie.‎ ‎Leipzig, B.G. Teubner, 1893. 8vo. Original printed wrappers, no backstrip. In ""Mathematische Annalen. Begründet 1893 durch Alfred Clebsch und Carl Neumann. 43. Band.41. Heft."" Entire issue offered. [Killing:] Pp. 569-90. [Entire issue: Pp. 457-601 pp].‎ ‎First printing of German mathematician Killing's paper on projective geometry. Killing is famous for his contributions to the theories of Lie algebras, Lie groups, and non-Euclidean geometry.‎ Referência livreiro : 44434	Livre Rare Book Herman H. J. Lynge & Son Copenhagen Denmark Dinamarca Dinamarca Danemark [Livros de Herman H. J. Lynge & Son] € 161,16 Comprar
‎COURANT, R. und D. HILBERT.‎ ‎Methoden der Mathematischen Physik. 2 Bde. Zweite verbesserte Auflage.‎ ‎Berlin, Julius Springer, 1931-37. (Reprinted 1943). 2 orig. full cloth. XIV,1),469(XIV),(6),549 pp. Internally clean and fine.‎ Referência livreiro : 44476	Livre Rare Book Herman H. J. Lynge & Son Copenhagen Denmark Dinamarca Dinamarca Danemark [Livros de Herman H. J. Lynge & Son] € 87,29 Comprar
‎MORGAN, AUGUSTUS de.‎ ‎A Budget of Paradoxes. Reprinted with the Authors Additions, from the Athenæum. Second Edition edited by David Eugene Smith. 2 Vols.‎ ‎Chicago, London, Open Court Publishing Co., 1915. 2 orig. full cloth. VIII,402387 pp. Clean and fine.‎ Referência livreiro : 44485	Livre Rare Book Herman H. J. Lynge & Son Copenhagen Denmark Dinamarca Dinamarca Danemark [Livros de Herman H. J. Lynge & Son] € 100,72 Comprar
‎"CANTOR, GEORG.‎ ‎Bemerkung mit Bezug auf den Aufsatz: Zur Weierstrass'-Cantor'schen Theorie der Irrationalzahlen in Math. Annalen. Bd. XXXIII, p. 154. - [CANTOR ON NUMBER THEORY]‎ ‎Leipzig, B.G. Teubner, 1889. 8vo. Original printed wrappers, no backstrip and a small nick to front wrapper. In ""Mathematische Annalen. Begründet 1889 durch Rudolf Friedrich Alfred Clebsch. XXXIII.[33] Band. 3. Heft."" Entire issue offered. Internally very fine and clean. [Cantor:] P. 476. [Entire issue: Pp. (1), 318-476, (1)].‎ ‎First printing of Cantor's important comment to Illigens paper from the same year: ""Zur Weierstrass'-Cantor'schen Theorie der Irrationalzahlen"". He states that: ""The squareroot of 3 is thus only a symbol for number which has yet to to be found, but is not its definition. The definitions is, however, satisfactorily given by my method as, say (1.7, 1.73, 1.732, ...). [From the present paper]. Cantor is famous for his work on infinite numbers.‎ Referência livreiro : 44494	Livre Rare Book Herman H. J. Lynge & Son Copenhagen Denmark Dinamarca Dinamarca Danemark [Livros de Herman H. J. Lynge & Son] € 201,45 Comprar
‎"HILBERT, DAVID.‎ ‎Über die Transcendenz der Zahlen e und pi. - [ANTICIPATION OF HILBERT'S SEVENTH PROBLEM]‎ ‎Leipzig, B.G. Teubner, 1893. 8vo. Original printed wrappers, no backstrip and a small nick to front wrapper. In ""Mathematische Annalen. Begründet 1868 durch Rudolf Friedrich Alfred Clebsch. 43. Band. 2. und 3. (Doppel-)Heft.""Entire issue offered. Internally very fine and clean. [Hilbert:] Pp. 216-19. [Entire issue: Pp. 145-456].‎ ‎First publication of Hilbert's important contribution to transcendental number theory which anticipates Hilbert's seventh problem, the seventh of twenty-three problems proposed by Hilbert in 1900 which became of seminal importance to 20th century mathematics. A transcendental number is a number which is not algebraic-that is, it is not a root of a non-constant polynomial equation with rational coefficients. The most prominent examples of transcendental numbers are pi and e. Euler was the first person to define transcendental numbers - The name ""transcendentals"" comes from Leibniz in his 1682 paper where he proved sin x is not an algebraic function of x.‎ Referência livreiro : 44495	Livre Rare Book Herman H. J. Lynge & Son Copenhagen Denmark Dinamarca Dinamarca Danemark [Livros de Herman H. J. Lynge & Son] € 429,76 Comprar
‎"KLEIN, FELIX.‎ ‎Zur Nicht-Euklidischen Geometrie (+) Ueber die Nullstellen der hypergeometrischen Reihe.‎ ‎Leipzig, B.G. Teubner, 1890. 8vo. Original printed wrappers, no backstrip and a small nick to front wrapper. In ""Mathematische Annalen. Begründet durch Rudolf Friedrich Alfred Clebsch. XXXVII. [37]. Band. 4. Heft."" Entire issue offered. Internally very fine and clean. [Klein:] Pp. 544-72"" 573-90. [Entire issue: Pp. pp. 465-604].‎ ‎First printing of Klein's important contribution to non-Euclidean geometry. Klein saw a fundamental unity in the subject of non-Euclidean geometry. Rather than a heterogeneous collection of abstruse mathematics, non-Euclidean geometry was in Klein's view a ""concrete discipline"".For over two millennia geometry had been the study of theorems which could be proved from Euclid's axioms. However, in the beginning of the 19th century it was proved that there exist other geometries than that of Euclid. Motivated by the emergence of the new geometries of Bolyai, Lobachevsky, and Riemann, Klein proposed to define a geometry, not by a set of axioms, but instead in terms of the transformations that leave it invariant" according to Klein, a geometric structure consists of a space together with a particular group of transformations of the space. A valid theorem in that particular geometry is one that holds under this group of transformations. This controversial idea did not only give a more systematic way of classifying the different geometries, but also gave birth to new geometric structures such as manifolds. Landmark Writtings in Western Mathematics 1640-1940, p.544-52.‎ Referência livreiro : 44503	Livre Rare Book Herman H. J. Lynge & Son Copenhagen Denmark Dinamarca Dinamarca Danemark [Livros de Herman H. J. Lynge & Son] € 302,17 Comprar
‎"KLEIN, FELIX.‎ ‎Weitere Untersuchungen über das Ikosaeder. - [FELIX KLEIN ON THE ICOSAHEDRON]‎ ‎Leipzig, B.G. Teubner, 1877. 8vo. Original printed wrappers, no backstrip and a small nick to front wrapper. In ""Mathematische Annalen. Begründet durch Rudolf Friedrich Alfred Clebsch. XII. [12]. Band. 4. Heft."" Entire issue offered. Internally very fine and clean. [Klein:] Pp. 503-60. [Entire issue: Pp. pp. 433-576].‎ ‎Frist printing of Klein's paper on the icosahedron.""A problem that greatly interested Klein was the solution of fifth-degree equations, for its treatment involved the simultaneous consideration of algebraic group theory, geometry, differential equations, and function theory. Hermite, Kronecker, and Brioschi had already employed transcendental methods in the solution of the general algebraic equation of the fifth degree. Klein succeeded in deriving the complete theory of this equation from a consideration of the icosahedron, one of the regular polyhedra known since antiquity. These bodies sometimes can be transformed into themselves through a finite group of rotations. The icosahedron in particular allows sixty such rotations into itself. If one circumscribes a sphere about a regular polyhedron and maps it onto a plane by stereographic projection, then to the group of rotations of the polyhedron into itself there corresponds a group of linear transformations of the plane into itself. Klein demonstrated that in this way all finite groups of linear transformations are obtained, if the so-called dihedral group is added. By a dihedron Klein meant a regular polygon with n sides, considered as rigid body of null volume."" (DSB VII, p. 400).The icosahedron is a regular polyhedron with 20 identical equilateral triangular faces, 30 edges and 12 vertices. It is one of the five Platonic solids.‎ Referência livreiro : 44504	Livre Rare Book Herman H. J. Lynge & Son Copenhagen Denmark Dinamarca Dinamarca Danemark [Livros de Herman H. J. Lynge & Son] € 241,74 Comprar
‎"KLEIN, FELIX.‎ ‎Neue Untersuchungen im Gebiete der elliptischen Functionen.‎ ‎Leipzig, B.G. Teubner, 1886. 8vo. Original printed wrappers, no backstrip and a small nick to front wrapper. In ""Mathematische Annalen. Begründet durch Rudolf Friedrich Alfred Clebsch. XXVI. [26]. Band. 3. Heft."" Entire issue offered. Internally very fine and clean. [Klein:] Pp. 455-464. [Entire issue: Pp. 309-464].‎ ‎First printing of Klein's paper on elliptic functions. ""One of the leading mathematicians of his age, Klein made many stimulating and fruitful contributions to almost all branches of mathematics, including applied mathematics and mathematical physics. Moreover, his extensive activity contributed greatly to making Göttingen the chief center of the exact sciences in Germany. An opponent of one sided approaches, he possessed an extraordinary ability to discover quickly relationships between different areas of research and to exploit them fruitfully."" (DSB).‎ Referência livreiro : 44526	Livre Rare Book Herman H. J. Lynge & Son Copenhagen Denmark Dinamarca Dinamarca Danemark [Livros de Herman H. J. Lynge & Son] € 161,16 Comprar
‎"DEBYE, P. [PETER JOSEPH WILLIAM DEBYE].‎ ‎Näherungsformeln für die Zylinderfunktionen für große Werte des Arguments und unbeschränkt veränderliche Werte des Index.‎ ‎Leipzig, B.G. Teubner, 1909. 8vo. Original printed wrappers, no backstrip and a small nick to front wrapper. In ""Mathematische Annalen. Begründet durch Rudolf Friedrich Alfred Clebsch. 67 Band. 4. Heft."" Entire issue offered. Internally very fine and clean. [Debye:] Pp. 535-58. [Entire issue: Pp. 433-575].‎ ‎First printing of Debye's early paper on the method of the steepest descent. Debye used it to estimate Bessel functions.In mathematics, the method of steepest descent is an extension of Laplace's method for approximating an integral, where one deforms a contour integral in the complex plane to pass near a stationary point in roughly the direction of steepest descent or stationary phase.""Debye was not only a brilliant and original scientist but also a wise and shrewd man of the world. In the performance of administrative duties in Berlin, he had to spend a great deal of time dealing with Nazi bureaucrats. He had retained his Dutch citizenship when he came to Berlin, having been told by the minister of education that he would not be required to become a German citizen. However, not long after World War II broke out, he was informed that he could not enter his laboratory if he did not become a German citizen. He refused to do so and soon succeeded in getting to the United States, where he became a citizen in 1946. He had lectured many times in the United States and had declined offers of professorships at many leading universities"" but he now gave the Baker Lectures at Cornell University and was appointed professor of chemistry and head of the chemistry department there, positions which he held from 1940 to 1950, when he became professor emeritus. He continued active in research and consultation until the end of his life. The first ten years at Ithaca produced the work on light scattering, his last great contribution. Debye's many achievements were recognized by his election to membership in some twenty-two academies throughout the world and the award of twelve medals and eighteen honorary degrees."" (DSB).The issue also contains: Klein, Felix. Über Selbstspannungen ebener Diagramme. Pp. 433-444.‎ Referência livreiro : 44527	Livre Rare Book Herman H. J. Lynge & Son Copenhagen Denmark Dinamarca Dinamarca Danemark [Livros de Herman H. J. Lynge & Son] € 335,75 Comprar
‎"WEYL, HERMANN.‎ ‎Über die Konvergenz von Reihen, die nach Orthogonalfunktionen fortschreiten.‎ ‎Leipzig, B.G. Teubner, 1909. 8vo. Original printed wrappers, no backstrip and a small nick to front wrapper. In ""Mathematische Annalen. Begründet durch Alfred Clebsch und Carl Neumann. 67 Band. 2. Heft."" Entire issue offered. Internally very fine and clean. [Weyl:] Pp. 225-45. [Entire issue: Pp. 145-280].‎ ‎First printing of Weyl's paper on the convergence of series which continue as orthogonal functions. ""Very few of Weyl's 150 published books and papers-even those chiefly of an expository character-lack an original idea or afresh viewpoint. The influence of his works and of his teaching was considerable: he proved by his example that an ""abstract"" approach to mathematics is perfectly compatible with ""hard"" analysis and, in fact, can be one of the most powerful tools when properly applied."" (DSB)‎ Referência livreiro : 44528	Livre Rare Book Herman H. J. Lynge & Son Copenhagen Denmark Dinamarca Dinamarca Danemark [Livros de Herman H. J. Lynge & Son] € 107,44 Comprar
‎"HÖLDER, OTTO.‎ ‎Die einfachen Gruppen im erasten und zweiten Hundert der Ordnungszahlen.‎ ‎Leipzig, B.G. Teubner, 1892 8vo. Original printed wrappers, no backstrip and a small nick to front wrapper. In ""Mathematische Annalen. Begründet durch Rudolf Friedrich Alfred Clebsch. XL. [40]. Band. 1. Heft."" Entire issue offered. Internally very fine and clean. [Hölder:] Pp. 55-88. [Entire issue: Pp. 1-156].‎ ‎First printing of Hölder's paper on group theory. ""Hölder owed his interest in group theory and Galois theory primarily to Kronecker, but also to Felix Klein, in whose seminar at Leipzig Hölder participated soon after receiving his doctorate. Hölder turned his attention first to simple groups. Besides the simple groups of orders 60 and 168 already known at the time, he found no new ones with a composite order less than 200. Nevertheless, he considered his method to be ""of some interest so long as we do not possess a better one suitable for handling the problem generally."" Such a general method is still lacking, despite the progress and great efforts of recent years."" (DSB)The issue also contains: 1. Klein, Felix. Ueber den Hermite'schen Fall der Lame'schen Differentialgleichung. Pp. 125-29.2. Klein, Felix. Ueber den Begriff des functionentheoretischen Fundamentalbereichs. Pp. 130-39.‎ Referência livreiro : 44529	Livre Rare Book Herman H. J. Lynge & Son Copenhagen Denmark Dinamarca Dinamarca Danemark [Livros de Herman H. J. Lynge & Son] € 201,45 Comprar
‎"HILBERT, DAVID.‎ ‎Hermann Minkowski. - [HILBERT'S OBITUARY OVER MINKOWKI]‎ ‎Leipzig, B.G. Teubner, 1910. 8vo. Original printed wrappers, no backstrip and a small nick to front wrapper. In ""Mathematische Annalen. Begründet durch Alfred Clebsch und Carl Neumann. 68. Band. 4. Heft."" Entire issue offered. Internally very fine and clean. [Hilbert:] Pp. 445-71. [Entire issue: Pp. 445-572].‎ ‎First printing of Hilbert's obituary over Minkowki. They had a life long friendship.""Minkowski was born of German parents who returned to Germany and settled in Königsberg [now Kaliningrad, R.S.F.S.R.] when the boy was eight years old. His older brother Oskar became a famous pathologist. Except for three semesters at the University of Berlin, he received his higher education at Köningsberg, where he became a lifelong friend of both Hilbert, who was a fellow student, and the slightly older Hurwitz, who was beginning his professorial career. Hilbert’s education at Königsberg and his close friendship with Hermann Minkowski both stimulated his interest in physics."" (DSB).‎ Referência livreiro : 44530	Livre Rare Book Herman H. J. Lynge & Son Copenhagen Denmark Dinamarca Dinamarca Danemark [Livros de Herman H. J. Lynge & Son] € 201,45 Comprar
‎"WEYL, HERMANN.‎ ‎Über gewöhnliche Differentialgleichungen mit Singularitäten und die zugehörigen Entwicklungen willkürlicher Funktionen. - [FIRST DESCRIPTION OF ESSENTIAL SPECTRUM]‎ ‎Leipzig, B.G. Teubner, 1910. 8vo. Original printed wrappers, no backstrip and a small nick to front wrapper. In ""Mathematische Annalen. Begründet durch Alfred Clebsch und Carl Neumann. 68. Band. 2. Heft.""Entire issue offered. Internally very fine and clean. [Weyl:] Pp. 220-69. [Entire issue: Pp. 145-304].‎ ‎First printing of Weyl's important paper in which he created the topic of essential spectrum.In mathematics, the essential spectrum is a certain subset of its spectrum, defined by a condition of the type that says, ""fails badly to be invertible"".‎ Referência livreiro : 44577	Livre Rare Book Herman H. J. Lynge & Son Copenhagen Denmark Dinamarca Dinamarca Danemark [Livros de Herman H. J. Lynge & Son] € 201,45 Comprar
‎"HILBERT, DAVID.‎ ‎Ueber die gerade Linie als kürzeste Verbindung zweier Punkte. (Aus einem an Herrn F. Klein gerichteten Briefe). - [FIRST PUBLICATION OF THE HILBERT METRIC]‎ ‎Leipzig, B.G. Teubner, 1895. 8vo. Original printed wrappers, no backstrip. In ""Mathematische Annalen. Begründet durch Alfred Clebsch und Carl Neumann. 46. Band. 1. Heft.""Entire issue offered. Internally very fine and clean. [Hilbert:] Pp. 91-96. [Entire issue: IV, 160 pp].‎ ‎First printing of Hilbert's groundbreaking paper in which ""Hilbert's Metric"" (or Hilbert's projective metric) - and the metric in general - was introduced. The Hilbert metric an a closed convex cone that can be applied to various purposed in non-Euclidean geometryThe usefulness of Hilbert's metric were made clear in 1957 by Garrett Birkhoff who showed that the Perron-Frobenius theorem for non-negative matrices and Jentzch's theorem for integral operators with positive kernel could both be proved by an application of the Banach contraction mapping theorem in suitable metric spaces. (Serrin. Hilbert's Matric. P. 1).‎ Referência livreiro : 44580	Livre Rare Book Herman H. J. Lynge & Son Copenhagen Denmark Dinamarca Dinamarca Danemark [Livros de Herman H. J. Lynge & Son] € 201,45 Comprar
‎"BERNOULLI, (JOHANN). - ESTABLISHING RELATION BETWEEN TRIGONOMETRIC AND LOGARITMIC FUNCTIONS.‎ ‎Section indéfinie des Arcs circulaires. En telle raison qu'on voudra, avec la maniére d'en déduire les Sinus, &c. Extraite d'une de ses Lettres écrite de Bàle le 13.Juillet 1702. (+) Solution d'un Probleme concernant le calcul intégral, avec quel...‎ ‎(Paris, Jean Boudot, 1704). 4to. Without wrappers. Extracted from ""Mémoires de l'Academie des Sciences. Année 1702"". Pp. 281-288 and pp. 289-297.‎ ‎First printing of two importent papers on the calculus. Bernoulli shows that the substitution of some equations leads to the differential of the logarithm of an imaginary number, and since the original integral also leads to the arc tan function he had thus established a relation between the trigonometric and logarothmic functions. (Based on Kline).‎ Referência livreiro : 44723	Livre Rare Book Herman H. J. Lynge & Son Copenhagen Denmark Dinamarca Dinamarca Danemark [Livros de Herman H. J. Lynge & Son] € 248,45 Comprar
‎"LEVI-CIVITA, T. [TULLIO].‎ ‎Sulla integrazione della equazione di Hamilton-Jacobi per separazione di variabili.‎ ‎Leipzig, B.G. Teubner, 1904. 8vo. Original printed wrappers, no backstrip. In ""Mathematische Annalen. Begründet durch Alfred Clebsch und Carl Neumann. 59. Band. 3. Heft.""Entire issue offered. Internally very fine and clean. [Levi-Civita:] Pp. 383-387. [Entire issue: Pp. 321-448].‎ ‎First printing of Levi-Civita's paper on the integration of the Hamilton-Jacobi equation.""Levi-Civita’s approximately 200 memoirs in pure and applied mathematics deal with analytical mechanics, celestial mechanics, hydrodynamics, elasticity, electromagnetism, and atomic physics."" (DSB).‎ Referência livreiro : 44726	Livre Rare Book Herman H. J. Lynge & Son Copenhagen Denmark Dinamarca Dinamarca Danemark [Livros de Herman H. J. Lynge & Son] € 107,44 Comprar
‎"BABBAGE, CHARLES.‎ ‎MÉCANIQUE APPLIQUÉE. Note sur la machine suédoise de MM. Schutz pour calculer les Tables mathématique par la méthode des différences, et en imprimer les résultats sur des planches stéréotypes. - [BABBAGE'S REPORT ON THE SCHEUTZ-ENGINE]‎ ‎Paris, Mallet-Bachelier, 1855. 4to. Extract, bound in new full blue cloth with gilt lettering to spine. A bit of brownspotting, otherwise a fine. [Babbage:] Pp. 557-560. [Entire issue: (3), 538-63 pp.].‎ ‎Scarce first publication of Babbage's early report on the difference engine, which had been built by the Swedish printer Georg Scheutz and his son Edvard, based upon Babbage's own designs. ""In 1854 Babbage's ideas came to the attention of George and Edvard Scheutz, a father and son from Sweden. After reading a description of the Difference Engine (by Babbage), they designed and built their own version. This machine was smaller and lighter than the engine conceived by Babbage. They used gears and levers that would have been suitable for the mechanism of a clock. In contrast, Babbage used technology that would have been appropriate for a steam engine. Babbage's engine, if completed, would have filled a room. The Scheutz engine sat nicely on a table and looked like a complicated music box. Babbage was pleased with Scheutz's engine and praised it publicly [In the present paper]. (DSB).""Georg Scheutz's interest in calculating machines had begun twenty-five years earlier, when he first heard about Babbage's Difference Engine no. 1. In 1834, after reading Dionysius Lardner's technical article about the Difference Engine, Scheutz and his son began building their own engine, completing a crude prototype model in 1843 (Scheutz Engine no. 1) and an improved and more highly finished example in the 1850s (Schultz Engine no. 2.). As part of his effort to promote the Scheutz Engine, Babbage gave a talk on it before the Académie des Sciences, illustrated with drawings by his son Henry, in which Babbage's system of mechanical notation was used to describe the machine's construction and functions. This talk was published without illustrations in the Académie's Comptes rendus [the present paper]. (OOC).See Hook & Norman. Origins of Cyberspace 73.‎ Referência livreiro : 44733	Livre Rare Book Herman H. J. Lynge & Son Copenhagen Denmark Dinamarca Dinamarca Danemark [Livros de Herman H. J. Lynge & Son] € 872,95 Comprar
‎NERNST, W. & A. SCHÖNFLIES.‎ ‎Einführung in die mathematische Behandlung der Naturwissenschaften. Mit 68 im Text befindlichen Figuren. Dritte Auflage.‎ ‎München & Leipzig, Wolff, 1901. Contemp. hcalf. XII,340 pp., textillustr.‎ ‎Third edition of the famous textbook which by 1931 had passed through 11 editions.‎ Referência livreiro : 44744	Livre Rare Book Herman H. J. Lynge & Son Copenhagen Denmark Dinamarca Dinamarca Danemark [Livros de Herman H. J. Lynge & Son] € 36,93 Comprar
‎"LAMBERT, JOHANN HEINRICH. - ESTABLISHING A MATHEMATICAL THEORY OF ORDER.‎ ‎Essai de Taxéométrie ou sur la mesure de l'Ordre.‎ ‎Berlin, C.F. Voss, 1772. 4to. Without wrappers as extracted from ""Nouveaux Mémoires de l'Academie Royale des Sciences et Belles-Lettres"", Annee 1770. With titlepage to 1770 with engraved vignette. Pp. 327-342.‎ ‎First appearance of this importent paper in which Lambert established a mathematical theory of order in all sorts of classifications. He treats the problem of order and its measures not only in relation to natural history or any domain of particulars, but abstractly as a problem of epistemology in general. He attempts to create a new mathematics of ordered systems and to measure by a fraction the elements to which any collection of items departed from the ordered system, and he carries his mathematical ideal even into taxonomy and systematics.‎ Referência livreiro : 44755	Livre Rare Book Herman H. J. Lynge & Son Copenhagen Denmark Dinamarca Dinamarca Danemark [Livros de Herman H. J. Lynge & Son] € 241,74 Comprar
‎"HAUSDORFF, F. [FELIX].‎ ‎Grundzüge einer Theorie der geordneten Mengen. - [THE GENERALIZATION OF CANTOR'S CONTINUUM HYPOTHESIS]‎ ‎Leipzig, B. G. Teubner, 1908. 8vo. Original printed wrappers, no backstrip. In ""Mathematische Annalen. Begründet 1908 durch Alfred Clebsch und Carl Neumann. 65. Band. 4. Heft."" Entire issue offered. Wrappers with a few nicks, internally fine and clean. [Hausdorff:] Pp. 435-505. [Entire issue: Pp. 433-575].‎ ‎First printing of Hausdorff important paper in which a generalization of Cantor's Continuum Hypothesis was presented for the first time. This is equivalent to what is now called the Generalized Continuum Hypothesis.The continuum hypothesis is a hypothesis, put forth by Georg Cantor in 1877, about the possible sizes of infinite sets. It states: ""There is no set whose cardinality is strictly between that of the integers and that of the real numbers.""Felix Hausdorff is considered to be one of the founders of modern topology and he contributed significantly to set theory, descriptive set theory, measure theory, function theory, and functional analysis.‎ Referência livreiro : 44768	Livre Rare Book Herman H. J. Lynge & Son Copenhagen Denmark Dinamarca Dinamarca Danemark [Livros de Herman H. J. Lynge & Son] € 201,45 Comprar
‎"HERMANN, GRETE.‎ ‎Die Frage der endlich vielen Schritte in der Theorie der Polynomideale. - [THE FOUNDATION OF COMPUTER ALGEBRA]‎ ‎(Berlin, Julius Springer, 1926). 8vo. Without wrappers. Extracted from ""Mathematische Annalen. Begründet 1868 durch Alfred Clebsch und Carl Neumann. 95. Band"". Pp. 735-788.‎ ‎First publication of Hermann's seminal paper (her doctoral thesis) which founded computer algebra. It first established the existence of algorithms - including complexity bounds - for many of the basic problems of abstract algebra, such as ideal membership for polynomial rings. Hermann's algorithm for primary decomposition is still in use today. The paper anticipates the birth of computer algebra by 39 years.""[The paper] is an intriguing example of ideas before their time. While computational aspects of mathematics were more fashionable before the abstractions of the twentieth century took hold, mathematicians of that time certainly knew nothing of computers nor of today's idea of what an algorithm is. The significance of the paper can be found on the first page, where we find (in translation):The claim that a computation can be found in finitely many steps will mean here that an upper bound for the number of necessary operations for the computation can be specified. Thus it is not enough, for example, to suggest a procedure, for which it can be proved theoretically that it can be executed in finitely many operations, if no upper bound for the number of operations is known. The fact that the author requires an upper bound suggests that there must exist an actual procedure or algorithm for doing computations. We see in this paper the first examples of procedures (with upper bounds given) for a variety of computations in multivariate polynomial ideals. Thus we have here a paper anticipating by 39 years the birth of computer algebra"". (ACM SIGSAM Bulletin, Volume 32. 1998).Not in Hook & Norman.‎ Referência livreiro : 44771	Livre Rare Book Herman H. J. Lynge & Son Copenhagen Denmark Dinamarca Dinamarca Danemark [Livros de Herman H. J. Lynge & Son] € 564,06 Comprar
‎"HEISENBERG, W. [WERNER].‎ ‎Über quantentheoretische Kinematik und Mechanik.‎ ‎(Berlin, Julius Springer, 1926). 8vo. Without wrappers. Extracted from ""Mathematische Annalen. Begründet 1868 durch Alfred Clebsch und Carl Neumann. 95. Band"". Pp. 683-704.‎ ‎First printing. This paper was written as a mathematical exposition of the Three-Man-Paper 'Zur Quantenmechanik II' by Born, Jordan, and Heisenberg from the same year.‎ Referência livreiro : 44772	Livre Rare Book Herman H. J. Lynge & Son Copenhagen Denmark Dinamarca Dinamarca Danemark [Livros de Herman H. J. Lynge & Son] € 241,74 Comprar

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