‎Mathematics‎

‎"BABBAGE, CHARLES.‎

‎On some new Methods of investigating the Sums of several Classes of infinite Series. Read April 1, 1819.‎

‎(London, W. Bulmer & Co.), 1819. 4to. No wrappers as issued in ""Philosophical Transactions of the Royal Society of London for the Year MDCCCXIX."", pp. 249-282. Broad margins, clean and fine. With the titlepage to the volume Part II.‎

‎"BABBAGE, CHARLES.‎

‎On the Determination of the General Term of a New Class of Infinite Series. [Read May 3, 1824].‎

‎London, Taylor and Francis, 1826 4to. In plain white paper-wrappers with title-page of journal volume pasted on to front wrapper. In ""Transactions of the Cambridge Philosophical Society"", Volume 2, part 1. . Fine and clean. Pp. (217)-225 + the pasted on title-page.‎

‎First printing of the early mathematical paper. Erwin Tomash B14.‎

Bookseller reference : 54757

‎"BABBAGE, CHARLES. - THE DIFFERENCE MACHINE OF SCHEUTZ, MATHEMATICALLY DESCRIBED.‎

‎Note sur la machine suédoise de MM. Schutz (!) pour calculer les Tables mathématiques par la méthode des différences, et en imprimer les résultats sur des planches stéréotypes.‎

‎(Paris, Mallet-Bachelier), 1855. 4to. No wrappers. In: ""Comptes Rendus Hebdomadaires des Séances de L'Academie des Sciences"", Tome 41, No 15. Pp. (537-) 563. (Entire issue offered). Babbage's paper: pp. 557-560. Some faint, mostly marginal brownspots.‎

‎"BACHARACH, I.‎

‎Ueber den Cayley'schen Schnittpunktsatz. - [THE CAYLEY-BACHARACH THEOREM]‎

‎Leipzig, B. G. Teubner, 1886. 8vo. Bound in recent full black cloth with gilt lettering to spine. In ""Mathematische Annalen"", Volume 26., 1886. Entire volume offered. Library label pasted on to pasted down front free end-paper. Small library stamp to lower part of title title page and verso of title page. With a marginal tear affecting pp. 275-282 and 2 cm of the text, otherwise very fine and clean. Pp. 275-299. [Entire volume: IV, 606 pp.].‎

‎First printing of Bacharach's paper which gave the final solution to what later was to be known as the Cayley-Bacharach Theorem: That when a plane curve of degree r is drawn through the mn points common to two curves of degrees m and n (both less than r), these do not count for mn conditions in the determination of the curve but for mn reduced by (m + n - r - 1) (m + n - r - 2).""Cayley wrote copiously on analytical geometry, touching on almost every topic then under discussion. Although, as explained elsewhere, he never wrote a textbook on the subject, substantial parts of Salmon’s Higher Plane Curves are due to him"" and without his work many texts of the period, such as those by Clebsch and Frost, would have been considerably reduced in size. One of Cayley’s earliest papers contains evidence of his great talent for the analytical geometry of curves and surfaces, in the form of what was often known as Cayley’s intersection theorem (C. M. P., I, no. 5 [1843], 25-27). There Cayley gave an almost complete proof (to be supplemented by Bacharach, in Mathematische Annalen, 26 [1886], 275-299)"" (DSB).‎

Bookseller reference : 47134

‎"BAILEY, W. N.‎

‎Some Identities in Combinatory Analysis. [Received 12 November, 1943. - Read 16 December, 1943.] [In: Proceedings of the London Mathematical Society. Second Series. Volume 49]. - [FIRST PUBLICATION OF ""BAILEY PAIRS"".]‎

‎London, Hodgson & Son, 1947. Royal 8vo. Bound with all the six original front-wrappers for all six parts of the volume (bound in at rear) in a very nice contemporary blue full cloth binding with gilt lettering and gilt ex-libris (""Belford College. Univ. London"") to spine. Very minor bumping to extremities. Binding tight, and in excellent, very nice, clean, and fresh condition, in- as well as ex-ternally. Small circle-stamp to pasted-down front free end-papers and to title-page (""Bedford College for Women""). Discreet library-markings to upper margin of pasted-down front free end-paper and book-plate stating that the book was presented to the Library of Bedford College by ""Professor H. Simpson./ 1946-47."" Pp. 421-435. [Entire volume: (4), 481pp.].‎

‎First publication of Bailey's seminal work on what is later known as a Bailey pair.While studying the second proof of the Rogers-Ramanujan identities, Bailey discovered how to find a pair of sequences satisfying certain relations. In 1984 George E. Andrews introduced the Bailey chain, a series of Bailey pairs.‎

Bookseller reference : 42641

‎"BAK, P. (+) C. TANG (+) K. WIESENFELD.‎

‎Self-organized criticality: An explanation of the 1/f noise. - [REVOLUTIONIZING EVOLUTION: THE SELF-ORGANIZED CRITICALITY (SOC) THEORY]‎

‎(Litho, The American Physical Society), 1987. Royal8vo. In the original blue printed wrappers. In ""Physical Review Letters"" Vol. 59, Number 4, July 27, 1987. A few traces are having been bend to extremities. Small label with subscriber's name printed on to back wrapper. Otherwise a fine and clean copy. Pp. 381-84. [Entire volume: 381-519, (5) pp.].‎

‎First printing of Bak, Tang and Wiesenfeld landmark paper in which they proposed their self-organized criticality (SOC) theory or the Abelian sandpile model: the mechanisms by which complexity arises in nature. It is one of the very few evolutionary models to challenge Darwinism. It is regarded as one of the most profound and fundamental theories put forth in the later part of the 20th century and the paper is one of the most frequently-cited papers in the last few decades.Its concepts have been applied across fields as diverse as geophysics, physical cosmology, evolutionary biology and ecology, bio-inspired computing and optimization (mathematics), economics, quantum gravity, sociology, solar physics, plasma physics, neurobiology and many others.SOC is typically observed in slowly driven non-equilibrium systems with extended degrees of freedom and a high level of nonlinearity. ""The nonlinear dynamics approach encapsulated in GCT envisions self-organization as an asymptotic process of approaching stability through a series of intermediate states (also known as evolution). There exists, however, a fundamentally different process known as self-organized criticality (SOC) in which an avalanche-like transformation rapidly moves the system into a self-organized mode. A popular metaphor for SOC is the sandpile paradigm. If additional sand grains are randomly added on top of a sand pile then inevitably an instance will occur when local steepness of the slope surpasses a certain critical threshold thus causing local failure of structural stability. The excess of material will cascade into adjacent areas of the pile causing their failures as well. Thus an avalanche will occur, shifting the entire sandpile into a new stable state. What is fundamentally important in this process is that a random local event quickly propagates through the entire system, thus establishing longrange correlations within the system"" (Rosenfeld, Global Consensus Theorem and Self-Organized Criticality).""Ask the average person, What is the theory of evolution? and you are likely to get answers like ""natural selection"", or ""survival of the fittest"", or ""Darwin's theory"". Because these ideas are systematically taught in classrooms, they may represent the only evolutionary theory people know. But, ask, What is the theory of Earth evolution? you will likely get a blank stare, or at best a superficial discussion of the fossil record. The Earth as a multi-faceted evolutionary system that undergoes continuous change through time was incorporated in the National Science Education Standards, even if it is absent from many contemporary curricula and common perceptions. Darwinism, however, is not the only mechanism of evolution. If we define evolutionary change as any process that leads to increases in complexity, diversity, order, and/or interconnectedness then there are at least three distinct mechanisms, or theories of evolution: elaboration, self-organization, and fractionation."" (Journal of Geoscience Education, v. 58, n. 2, March, 2010, p. 58-64).‎

Bookseller reference : 49715

‎"BARTOLI, COSIMO.‎

‎Del modo di misurare le distantie, le superficie, i corpi, le piante, le prouincie, le prospettiue, & tutte le altre cose térrene, che possono occorrere à gli huomini, Secondo le vere regale d'Euclide, & de gli altri più lodati Scritteri.‎

‎Venetia (Venedig), Sebastiano Combi, 1614. Small 4to. Later hcalf (from 18th century), spine gilt. Upper compartment of spine with wear. Titlepage with large renaissance-border in woodcut. Portrait in woodcut. 145,(3) lvs. (=290,(6) pp.)Lower margin ofthe 7 first leaves a bit dampstained. With numerous woodcut-illustrations in the text, geometrical figures, instruments used in surveying etc. Without the 2 woodcut-plates.The 12 last leaves with a dampstain in upper margin. A small hole to last leaf loosening a few letters in ""Tavola"". Some scattered brownspots.‎

‎Scarce work - probably the last edition - on geometry and arithmetic by the florentine geometer Bartoli, born in 1503, died in 1572. He is also known for his translation of the works of Finaeus.""Although the book is on practical mensuration, the 'libro sesto' is upon square and cubic root.The galley method is used, and the common sixteenth-century device of annexing 2 n ciphers in square root and dividing the root by 10* (and similarly for cube root) is employed. Bartoli also gives a table of squares to 662.2. The chapter on roots is followed by one on the 'Regola delle tre cose, ouero quattro proportionali.' (Smith in Rara Arithmetica No. 315 (ed. 1589)). The fourth book deals with the use of the compass. - Graesse I:303.‎

Bookseller reference : 42021

‎"BASEDOW, JOHANN BERNHARD. - MATHEMATICS IN THE EDUCATIONAL REFORM.‎

‎Bewiesene Grundsätze der reinen Mathematik. 2 Bde. (1. Bd. Zahlenkunst und Algebra, zur elementarischen Bibliothek. 2. bd. Geometrie und Etwas von dem Unendlichen).‎

‎Leipzig, Siegfried Lebrecht Crusius, 1774. Bound in 2 very fine contemp. full calf, raised bands, richly gilt spines. Title-and tomelabels in leather on spines with gilt lettering., gilt border on all covers. Blindtooled decorations on covers in Cambridge-style, ""mirror-binding"". Edges gilt. Stamp on foot of titlepages. (22),312"(16),296 pp. and 11 folded engraved plates. Light browning to some quires and to top of titles, otherwise fine.‎

‎Scarce first edition of the famous German educators mathematical textbook, - his suggestion to how mathematics should be taught in his educational reform. Basedow’s views were based on the writings of men such as John Amos Comenius, John Locke, and Jean-Jacques Rousseau. His practical teaching methods were more expansive in their implications for education than those of any of his immediate predecessors in the field, and by the early 19th century they had become a fundamental force in Germany’s public school systems.Basedow blev i 1753 ansat af J.H.E. Bernstorff ved Sorø Akademi som professor i moral og de skønne videnskaber. Her kom han bl.a. i forbindelse med den danske oplysningsforfatter og Sorø-professor Jens Schielderup Sneedorff, hvis værker han oversatte til tysk. Sneedorff blev selv inspirereret af Basedows pædagogiske idéer.‎

Bookseller reference : 45029

‎"BEGUELIN, (N.).‎

‎Sur L'Usage du Principe de la Raison suffisante dans le Calcul des Probabilités.‎

‎(Berlin, Haude et Spener, 1769). 4to. No wrappers, as issued in ""Mémoires de l'Academie Royale des Sciences et Belles-Lettres"", tome XVIII, pp. 297-363 and 3 folded engraved plates.‎

‎First printing of one of Beguelin's influential papers on probability theory.In 1747 Beguelin became a fellow of the Berlin Academy of Sciences, in the period 1786-89 the Director of the section for Philosophy. He wrote memorials on mathematics (probability), physics and metaphysics. He incensed the displeasure of Frederick the Great in 1764, but won again the grace of Friedrich's successor Friedrich Wilhelm II (reg. 1786-1796), his former disciple, in 1768 who gave him the estate Lichterfelde.‎

Bookseller reference : 42835

‎"BENDIXON, IVAR.‎

‎Sur les Courbes définies par ldes Équations Différentielles. - [THE POINCARÉ-BENDIXON THEOREM]‎

‎(Berlin, Stockholm, Paris, Almqvist & Wiksell, 1901). 4to. Without wrappers as extracted from""Acta Mathematica. Hrsg. von G. Mittag-Leffler"", vol. 24, pp. 1-88.‎

‎First edition. ""After Poinceré, the most significant work on solutions of equations of the form dy/dx= P(x,y)/Q (x,y) is due to Ivar Bendixon (1861-1935). One of his major results (the offered paper) provides a criterion by means of which, in certain regions, one can show that no closed trajectory exists....The theorem now named after Poincaré and Bendixon, which is the latter's 1901 paper, provides a positive criterion for the existence of a periodic solution of (the above equation)."" (Morris Kline).‎

Bookseller reference : 39164

‎"BERNOUILLI, JEAN (JOHN).‎

‎Mémoire sur un Probleme de la Doctrine du Hazard.‎

‎(Berlin, Haude & Spener, 1770). 4to. No wrappers, as issued in ""Mémoires de l'Academie Royale des Sciences et Belles- Lettres"", tome XXIV, pp. 384-408 and 1 table. Fine and clean.‎

‎"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).‎

Bookseller reference : 44723

‎"BERNOULLI, JACOBI (JACOB).‎

‎Analysis magni problematis Isoperimetrici. - [BERNOULLI'S SOLUTION TO THE ISOPERIMETRIC PROBLEM]‎

‎Leipzig, Gross & Fritsch, 1701. 4to. Contemporary full vellum. Handwritten title on spine. A small stamp to title page and page . Pasted library label to pasted down front free end-paper. In: ""Nova Actorum Eruditorum Anno MDCCI"". Pp 213-228 + 1 engraved plate. [Entire volume: (2), 581 pp. + 8 engraved plates].‎

‎First publication of Jacob Bernoulli influential dissertation in which he published the first correct solution to the isoperimetric problem both Johann Bernoulli and Leibniz had been seeking without success. The paper influenced both Leonhard Euler in writing his first research paper and British mathematician Brook Taylor to begin a dispute which has later been referred to as Taylor versus Continental mathematicians. ""It [the dissertation] was considered as a prodigy of sagacity and invention: and indeed, if the time be considered, it will not be too much to assert, that a more difficult problem never was solved."" (Bossut. A general history of mathematics. 341 p.).The isoperimetric problem is an ancient problem which dates back to antiquity and can be described as which curve, if any, maximizes or minimizes the area of its enclosed region?Euler, who had been taught by Johann Bernoulli, published his first paper in 1726 which was a note on the construction of isochronous curves in a resistant medium.DSB II, 48b.The following papers by Johann Bernoulli are also contained in the present volume:1. Disquisitio Catoptrico-Dioptrica exhibens Reflexionis et Refractionis naturam ex aequilibrii fundamento deductam. Pp 19-26.2. Novaratio construendi radios osculi seu curvanturae in Curvis quibusvis etc. Pp. 136-40.3. Multisectio Anguli vel Arcus, duplici aequatione universali exhibita. Pp. 170-75.‎

Bookseller reference : 44002

‎"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.‎

Bookseller reference : 44363

‎"BERNOULLI, JOANNES [JOHANN].‎

‎Barometrum novum communi multo accuratius. - [BERNOULLI'S BAROMETER]‎

‎Leipzig, Grosse & Gleditsch, 1716. 4to. In: ""Acta Eruditorum Anno MDCCXVI"". 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. 10-14 + one engraved plate. [Entire volume: (2), 567, (39) pp. + four engraved plates.].‎

‎First Latin printing of Bernoulli's paper on the luminous barometer created by mercurial phosphorus. The phenomenon was first observed by French astronomer Jean Picard in 1675, but the practical use of the phenomenon was popularized by Bernoulli who made the first horizontal or rectangular barometer. Bernoulli's study of the subject had profound influence on the English scientist Francis Hauksbee who became of seminal importance to the development of electricity and electrostatic repulsion.The offered volume contains many other papers by influential contemporary mathematicians, philosophers and historians.‎

Bookseller reference : 45319

‎"BERNOULLI, JOANNES [JOHANN].‎

‎Responsio ad nonneminis provocationem eiusque solutio quaestionis ipsi ad eodem proposititae de invenienda linea curva, quam describit proiectile in medio resistente (+) Problema Analyticum, quod omnibus Geometris non-Anglis proposuit. - [THE FINAL SOLUTION TO THE BALLISTIC CURVE]‎

‎Leipzig, Grosse & Gleditsch, 1719. 4to. In: ""Acta Eruditorum Anno MDCCXIX"". 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. 256-270. [Entire volume: (4), 539, four engraved plates.].‎

‎First printing of Bernoulli's exceedingly important paper in which he presented the final (and correct) solution to the ballistic curve. Newton had also occupied himself with the problem but had only solved the law of resistance. In 1718, English mathematician Keill had given Bernoulli the following challenge: ""Find the curve which a projectile describes through the air on the simplest hypothesis of uniform gravity and density in the medium, the resistance varying as the square of the velocity"". The challenge was more an attempt to humiliate Bernoulli, since it was supposed to be unsolvable, than it was an attempt to advance mathematics. ""It was therefore natural the Bernoulli, when he published his solution of Keill's problem and an account of his conduct, should dwell at greater length upon his triumph over the English mathematician than upon his very considerable achievement in mathematics."" (Hall, Ballistics in the seventeenth century, Pp. 155).""Bernoulli's criticism of Taylor's Methodus incrementorum was simultaneously an attack upon the method of fluxions, for in 1713 Bernoulli had become involved in the priority dispute between Leibniz and Newton. Following publication of the Royal Society's Commercium epistolicum in 1712, Leibniz had no choice but to present his case in public. He released-without naming names-a letter by Bernoulli (dated 7 June 1713) in which Newton was charged with errors stemming from a misinterpretation of the higher differential. Thereupon Newton's followers raised complicated analytical problems, such as the determination of trajectories and the problem of finding the ballistic curve, which Newton had solved only for the law of resistance R = av (R = resistance, a = constant, v = velocity). Bernoulli solved this problem (AE, 1719) for the general case (R = avn), thus demonstrating the superiority of Leibniz' differential calculus."" (DSB)‎

Bookseller reference : 45321

‎"BERNOULLI, JOANNES.‎

‎Demonstratio Methodi Analyticae, qua usus est pro determinanda aliqua Quadratura exponentiali per seriem.‎

‎Leipzig, Grosse & Gleditsch, 1737. 4to. In: ""Nova Acta Eruditorum Anno MDCCXXXVII"". 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. 82-88. [Entire volume: Pp. (4), 555, (33) + 7 engraved plates.].‎

‎First printing of Bernoulli's paper on the quadratura.The volume contains many other papers by influential contemporary mathematicians, philosophers and historians.‎

Bookseller reference : 46046

‎"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.‎

Bookseller reference : 44108

‎"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.‎

Bookseller reference : 44072

‎"BERNOULLI, JOHANN.‎

‎De motu corporum gravium, pendulorum, et projectilium in mediis non resistentibus et resistentibus supposita gravitate uniformi et non uniformi atque ad quodvis punctum datum tendente, et de variis aliis huc spectantibus, Demonstrationes Geometricae (... - [JOHANN BERNOULLI ON TRAJECTORY DESIGN]‎

‎Leipzig, Grosse & Gleditsch, 1713. 4to. Bound in contemporary full vellum. In: ""Actorum Eruditorum Anno MDCCXIII"". The entire volume offered. 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 and a library label to pasted down front free end-paper. As usual with various browning to leaves and plates. Pp. 77-95 + 1 engraved plate"" pp. 115-132. [Entire volume: (4),559,(22). + 6 engraved plates.].‎

‎First publication of Johann Bernoulli's long analysis of trajectory design in which he corrected Newton's wrong description of the same subject in his ""Principia"" published in 1687. The problem of orthogonal trajectory was a major mathematical topic in the late 17th and early 18th century and Johann Bernoulli was the first to raise the problem about the brachystochrone in 1697. Many other papers by influential contemporary mathematicians, philosophers and historians are to be found in the present volume.‎

Bookseller reference : 43831

‎"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.‎

Bookseller reference : 44262

‎"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.‎

Bookseller reference : 44109

‎"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.‎

Bookseller reference : 44107

‎"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.‎

Bookseller reference : 44192

‎"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.‎

Bookseller reference : 44195