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‎"ROBINS, BENJAMIN & LEONARD (LEONHARD).‎

‎Nouveaux Principes D'Artillerie..., commentés par Leonard Euler, traduits de L'Allemand, avec Notes, Par M. Lombard. - [WITH ROYAL PROVENANCE]‎

‎Dijon & Paris, L.N. Frantin & Jombert, 1783. Bound in fine contemp. full calf, raised bands and richly gilt compartments. Titlelabel with gilt lettering. A stamp on htitle and titlepage. (4),XIV,538,X,(1) pp. and 2 folded engraved plates. Internally clean and fine, printed on good paper.‎

‎First French edition of Robin's & Eulers work together. Robins' work New Principles of Gunnery was first issued in French in 1771 and Eulers work came together with Robins' work in the German translation of 1745. Euler's work is called ""Eulers erläuterte Artillerie.""""An inquiry from the King about the best work on artillery moved Euler to translate into German Benjamin Robin's ""New Principles on Gunnery"". Euler added his own supplements on ballistics, which were five times longer than the original text. These supplements occupy an important place in the history of ballistics..."" (DSB). - Poggendorff I:689.‎

Referencia librero : 40712

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‎KÄSBAUER, MAX und FRANZ von KUTSCHERA (HRSG.).‎

‎Logik und Logikkalkül.‎

‎München, Karl Albers, 1962. Orig. full cloth with dustjacket. 248 pp.‎

Referencia librero : 40726

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‎BASRI, SAUL A.‎

‎A Deductive Theory of Space and Time.‎

‎Amsterdam, North-Holland, 1966. Orig. boards. XI,163 pp.‎

Referencia librero : 40727

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‎HERMES, HANS.‎

‎Aufzählbarkeit, Entscheidbarkeit, Berechenbarkeit. Einführung in die Theorie der Rekursiven Funktionen. Mit 3 Abbildungen.‎

‎Berlin, Springer-Verlag, 1961. Orig. full cloth. X,246 pp.‎

‎First edition.‎

Referencia librero : 40728

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‎HERMES, HANS.‎

‎Einführung in die Verbandstheorie. Mit 24 Abbildungen.‎

‎Berlin, Springer-Verlag, 1955. Orig. full cloth. VI,164 pp.‎

‎First edition.‎

Referencia librero : 40729

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‎CAMUS, (CHARLES-ETIENNE.LOUIS).‎

‎Cours de Mathématique. 1.-3. Partie. (1. Élémens D'Arithmétique - 2. Élémens de Géometrie, theorique et pratique. Quatrieme Edition - Élémens de Mechanique Statique. Tome I-II. Troisieme Edition). 4 vols.‎

‎Paris, Ballard Fils (Vol. I), Paris, De Prault (Vol.3-4), 1749-67. Large 8vo. Bound in 4 fine full mottled calf. Raised bands, richly gilt compartments, tome-and titlelabels with gilt lettering. A paperlabel pasted on upper compartment. Top of spine to vol. one with wear. Volume one slightly different in binding. Stamps on titlepages. (4),IV (bound at end),472VI,563,XXXII,(3)XX,396"VIII,442 pp. and 92 large folded engraved plates. Internally clean and fine, printed on good paper.‎

‎Camus main work. He joined Maupertouis, Clairaut and Lemonnier on the scientific expedition to Lapland in 1736, to determine the shape of the earth. ""In 1730 he was named to the Academy of Architecture and became its secretary shortly thereafter. There he gave public lessons to aspiring architects as the Academy's professor of Geometry. These lessons later served as the basis of a ""Course de mathematique""....In 1755, when Camus was also named the examiner for artillery schools, this ""Course"" became the standard work for artillery students."" (Seymor Shapin in DSB).‎

Referencia librero : 40768

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‎"BOLZANO, BERNARD.‎

‎Versuch einer objectiven Begründung der Lehre von den drei Dimensionen des Raumes. (Aus dem Abhandlungen der k. böhm. Gesellschaft der Wissenschaften (V Folge, Bd. 3).) - [BOLZANO'S FIRST WORK ON SPACE AND TIME]‎

‎Prag [Prague], 1843. 4to. Uncut in the original printed light pink wrappers, with a dicreet new black cloth back-strip. A bit of brownspotting and minor chipping to edges pf wrappers, but overall a very nice copy of this fairly fragile publication. 15, (1) pp.‎

‎The very rare first edition, off-print (separately paginated), of this important treatise on space and time, which constitutes an important part of Bolzano's philosophical-logical theory. The present paper constitutes the first public formulation of these controversial ideas on time and space, with which Bolzano sets out to establish a foundation of mathematics which is non-empirical. By uniting mathematics and philosophy and applying both to the question of space and time, Bolzano here brings both sciences to a higher level of completeness, acknowledging that his theories depart from the those of Hegel, Kant, Schelling, etc. As always, Bolzano grabs the essence of the question and the terms that he is treating and retraces the concepts that must be used, establishing their original inner connection. In the present paper, the question of space, time, and thought are treated in order to establish the precise and full nature of space, a theme which Bolzano had apparently been working on for many years but previously only discussed with a very small number of intimate acquaintances, and now publishes on for the first time. The concept of space plays an important rôle in Bolzano's ontology and is closely linked to his mathematical and philosophical logic, in which the ""space-position"" plays a part in the demarcation of that which is purely mathematical and logical. Furthermore, for Bolzano, truth is constituted by true propositions (which state things as they are), and his canonical form of all propositions entails that ""[a] proposition is true iff the object has the property (the attribute) which belongs to the subject of the proposition. Moreover, empirical propositions must contain determinations of space and time. Without these determinations, the sentence ""It is snowing"" has no truth value, it is just a propositional form which does not correspond to a complete proposition"" ""in order to be true, [such propositions] require the addition of such specifications as to time (and often place as well), 'It is snowing today, in this place'"" (SEP).‎

Referencia librero : 41020

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‎DOETSCH, GUSTAV.‎

‎Guide to the Applications of Laplace Transforms. With 45 Figures and a Table of Laplace Transforms by Rudolf Herschel.‎

‎London, Toonto, N.Y., van Nostrand, (1961). Orig. full cloth. with dustjacket.‎

Referencia librero : 41162

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‎"KLEIN, FELIX.‎

‎Ueber die sogenannte Nicht-Euklidische Geometrie (+) Ueber die sogenannte Nicht-Euklidische Geometrie. (Zweiter Aufsatz). - [TWO MAIN WORKS ON NON-EUCLIDEAN GEOMETRY]‎

‎Leipzig, B.G.Teubner, 1871 u. 1873. Bound in 2 later full cloth. Small stamp on foot of titlepages.In. ""Mathematische Annalen. In Verbindung mit C. Neumann begründet durch Rudolf Friedrich Alfred Clebsch"", IV. und VI. Band. (4),637 pp. a. (4),642 pp., 6 plates. Klein's papers: pp. 573-625 a. pp. 112-145. Both volumes offered.‎

‎First edition of these 2 papers which unifies the Euclidean and Non-Euclidean geometries, by reducing the differences to expressions of the ""distance function"", and introducing the concepts ""parabolic"", ""elliptic"" and ""hyperbolic"" for the geometries of Euclid, Riemann and of Lobatschewski, Gauss and Bolyai. He further eliminates Euclid's parallel-axiom from projective geometry, as he shows that the quality of being parallel, is not invariant under projections.Klein build his work on Cayley's ""distant measure"" saying, that ""Metrical properties are not properties of the figure per se but of the figure in relation to the absolute."" This is Cayley's idea of the general projective determination of metrics. The place of the metric concept in projective geometry and the greater generality of the latter were described by Cayley as ""Metrical geometry is part of projective geometry."" Cayley's idea was taken over by Felix Klein....It seemed to him to be possible to subsume the non-Euclidean geometries, hyperbolic and double elliptic geometry, under projective geometry by exploring Cayley's idea. He gave a sketch of his thoughts in a paper of 1871, and then developed them in two papers (the papers offered here).Klein was the first to recognize that we do not need surfaces to obtain models of non-Euclidean geometries....The import which gradually emerged from Klein's contributions was that projective geometry is really logically independent of Euclidean geometry....By making apparent the basic role of projective geometry Klein paved the way for an axiomatic development which could start with projective geometry and derive the several metric geometries from it.""(Morris Kline).The offred volumes cntains other importen mathematical papers by f.i. by Klebsch, Lipschitz, Neumann, Noether, Thomae, Gordan, Lie, Du Bois-Raymond, Cantor (Über trigonometrische Reihen),etc.(Sommerville: Bibliography of Non-Euclidean Geometry p. 45 a. 49.)‎

Referencia librero : 41204

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‎"CAYLEY, ARTHUR & GIUSEPPE VERONESE.‎

‎Sur quelques théorèmes de la géométrie de position (Cayley) (+) Behandlung der projectivischen Verhältnisse der Räume von verschiedenen Dimensionen durch das Princip des Projicirens und Schneidens. 2 vols. - [THE CAYLEY-VERONESE CLASS OF CONFIGURATIONS.]‎

‎Berlin, G. Reimer, 1846. - Leipzig, B.G. Teubner, 1881. 4to and 8vo. Cayley's paper in ""Journal für die reine und angewandte Mathematik. Hrsg. von A.L. Crelle, Bd. 31: Drittes Heft.1846"". Pp. (179-)268,(2) and 1 plate. The whole issue (Drittes Heft) present with titlepage, stitched without wrappers. Cayley's paper pp. 213-226. - Veronese's paper in ""Mathematische Annalen. In Verbindung mit C. Neumann...hrsg. von Felix Klein und Adolph Meyer. XIX. Band. 2 Heft. 1881."" Pp. (161-)234. The whole issue (2. Heft) present with orig. printed wrappers. No backstrip. Veronese's paper pp. (161-)234.‎

‎Both papers first edition and first apperance in print of these two main papers in the history of projective geometry.""Cayley, in his paper ""Sur quelques théorèmes de la géométrie de position"", (the paper offered) first calls attention to the figures obtained by taking the section, by a plane or 3-dimensional space, of the complete n-point (viz., n points, and the (n/2) lines, (n/3) plans etc. dtermined by them) in a flat spaceof v dimensions. Later Veronese discusses more fully the nature of this class of configurations thus obtained in r dimensions (the second paper offered). Both Cayley and Veronese state that these same configurations can also be obtained as projections of higher-dimensional figures."" (Walter B. Carver). Veronese ""in particular may be considered the main founder of the projective geometry of hyperspaces with n dimensions, which had previously been linear algebra presented geometrically, rather than geometry.""(DSB). - An: Veronese-paper see Sommerville Bibliography of Non-Euclidean Geometry, 1881:3.This issue of ""Crelle's Journal"" contains one more paper of Cayley: ""Problème de géometrie analytique."", pp. 227-230.‎

Referencia librero : 41240

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‎"DEDEKIND, RICHARD.‎

‎Ueber die von drei Moduln erzeugte Dualgruppe. - [INTRODUCING THE NOTION ""LATTICE"" (DUALGRUPPE).]‎

‎Leipzig, B.G. Teubner, 1900. Orig. printed wrappers, no backstrip. In ""Mathematische Annalen. Gegenwärtig hrsg. von Felix Klein, Walter Dyck, Adolph Mayer. 53. Band, 3. Heft, 1900."" Pp. (289-)464. The whole issue (Heft 3) present with wrappers. Dedekind's paper: pp. 371-403.‎

‎First edition and first appearance in print of a fundamental paper in ""Lattice-Theory"".""dedekind's number-theoretic investigations led to the introduction of the notion of a ""lattice"" (under the name ""Dualgruppe""), at first implicitly and then explicitly. Dedekind studied the notion further, as a topic in itself, in two relatively lates articles:""eber Zerlegungen von Zahlen durch ihrer grössten gemeinsamen Teiler"" (1897) and ""Über die von drei Moduln erzeugte Dualgruppe"" (1900). (The paper offered). And while these articles did not have the same immediate and strong impact that several of his other works had, they were subsequently recognized as original, systematic contributions to lattice theory, especially the study of modular lattices."" (Stanford Encycl. of Philosophy).This issue of Mathematische Annalen also contains the importen memoir by MAX DEHN: ""Die Legendre'schen Sätze über die Winkelsumme im Dreieck."", pp. 404-39, in which he proves that there is a geometry in which the angle sum is two right angles, similar but noncongruent triangles exist, and an infinity of straight lines that are paralell to a given line may be drawn through a given point. Sommerville: Bibliography of Non-Euclidean Geometry: 1900:1).‎

Referencia librero : 41241

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‎"PEANO, GIUSEPPE.‎

‎Démonstration de l'intégrabilité des équations différentielles ordinaires. - [THE PROOF OF THE EXISTENCE THEOREM - INTRODUCING THE AXIOM OF CHOICE]‎

‎Leipzig, B.G. Teubner, 1890. Orig. printed wrappers, no backstrip. A small offsetting to upper left corner of frontwrapper. A small tear to endwrapper repaired. In ""Mathematische Annalen. Gegenwärtig hrsg. von Felix Klein, Walter Dyck, Adolph Mayer, 36. Band, 2. Heft."" Pp. (153-)320. The whole issue (Heft 2) with orig.wrappers. Peano's paper: pp. 182-288.‎

‎First edition and the first appearance of this fundamental paper in which Peano gives the proof of the so-called ""Peano-Existence-Theorem"" and at the same time contains the first explicit statement of ""The axiom of choice"".The Peano-Existence-Theorem, or ""Cauchy-Peano-Theorem"" guarantees the existence of solutions to certain initial value problems. He first published the theorem in 1886 in ""Sull'integrabilita della equazioni differenziali del primo ordine"" in Atti Accad. Sci. Torino, 21, with an incorrect proof. The new correct proof appeared in this paper, as offered.""Peano's work in analysis began in 1883 with an article on the integrability of functions. The article of 1890 (the paper offered) contains notions of integrals and areas. Peano wasthe first to show that the first-order differential equation y' = f(x,y) is solvable on the sole assumption that f is continuous. His first proof dates from 1886, but its rigor leaves something to be desired. In 1890 this result was generalized to systems of differential equations using a different method of proof. This work is also notable for containing the first explicit statement of the axiom of choice. Peano rejected the axiom of choice as being outside the ordinary logic used in mathematical proofs."" (Hubert T Kennedy in DSB).‎

Referencia librero : 41242

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‎"EULER, LEONHARD.‎

‎Recherches sur L'Origine des Forces.‎

‎(Berlin, Haude et Spener, 1752). 4to. Unbound, but stitched. In: ""Memoires de l'Academie Royale des Sciences et Belles-Lettres"" Tome VI, pp. (419-)447 and 1 folded engraved plate.‎

‎First edition, in the periodical form. - Enestroem No. 181.‎

Referencia librero : 41244

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‎BEHNKE, HEINRICH u. FR. SOMMER.‎

‎Theorie der Analytischen Funktionen einer Komplexen veränderlichen. Dritte Aufl.‎

‎Bln., N.Y., 1965. Orig. cloth. X, 603 pp.‎

Referencia librero : 4133

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‎BIERBACH, LUDWIG.‎

‎Theorie der Differentialgleichungen. 3. Aufl.‎

‎Bln. 1930. Lex8vo. 396 pp.‎

Referencia librero : 4135

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‎"HILBERT, DAVID.‎

‎Die logischen Grundlagen der Mathematik. - [IMPORTENT HILBERT-PAPER ON METAMATHEMATICS]‎

‎Berlin, Julius Springer, 1923. Later full cloth. In: ""Mathematische Annalen begründet durch Alfred Clebsch und Carl Neumann."", 88. Bd. (4),312 pp. Hilbert's paper: pp. 151-165. The whole volume offered.‎

‎First edition as a continuation of his paper from 1922 ""Neubegründung der Mathematik. Erste Mitteilung"".""This articlee, delivered as a lecture to the deutsche Naturforscher Gesellschaft in Leipzig, September 1922, is a sequel to (neubegründung...), and brings Hilbert's proof theory to maturity. Hilbert here introduces several technical refinements and clarification to his theory. Specifically: (i) he improves the formal system by adding a special sign for formal negation...(ii) he refines his account of the distinction between formal language and the metalanguage....(iii) he outlines a consistency proof for an elementary, quantifier-free formal system of number-theory. (iv) he begins to extend his proof theory to analysis and set theory....sketches a strategy for proving the consistency of a version of Zermel's axiom of choice for real numbers...(etc. etc). (William Ewald in from Kant to Hilbert, vol. II, pp.1134-35).‎

Referencia librero : 41351

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‎"HILBERT, DAVID.‎

‎Neue Begründung der Bolyai-Lobatschefskyschen Geometrie.. - [A]‎

‎Leipzig, B.G. Teubner, 1903. Orig. printed wrappers, no backstrip. In: ""Mathematische Annalen begründet durch Alfred Clebsch und Carl Neumann."", 57. Bd., 2 Heft. Pp. 137-264. The whole issue offered (Heft 2). Hilbert's paper:pp. 137-150 a. 7 textfigs.‎

‎First edition and first printing of Hilbert's importent proof of the possibility of the non-euclidean parallel-construction, in which he showes that only with the aid of ruler and compass it is possible to draw with the samer instruments, the common perpendicular to two lines which are not parallel and do not meet each other (the non-intersecting lines), the common parallel to the two lines which bound an angle"" and the line which is perpendicular to one of the bounding lines of an acute angle and parallel to the other, and how these constructions can be carried out. (Bonola: Non-Euclidean Geometry). The paper was reprinted in the second edition of his ""Grundlagen der Geometrie"" as Appendix III. (Sommerville: 1903 p. 196).‎

Referencia librero : 41352

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‎"HILBERT, DAVID.‎

‎Ueber die Theorie des relativquadratischen Zahlkörpers. - [A MAIN WORK ON ALGEBRAIC NUMBER-THEORY]‎

‎Leipzig, B.G. Teubner, 1898. Orig. printed wrappers, no backstrip. In: ""Mathematische Annalen begründet durch Alfred Clebsch und Carl Neumann."", 51. Bd., 1. Heft. The whole issue offered (=Heft 1). IV,160 pp. Hilbert's paper pp. 1-127.‎

‎First edition of Hilbert's famous report on algebraic numbers.""The work on algebraic number theory was climaxed in the nineteenth century by Hilbert's famous report on algebraic numbers. This report is primarely an account of what had been done during the century. However Hilbert reworked all of this earlier theory and gave a new, elegant and powerfull methods of securing these results. He had begun to create new ideas in algebraic number theory from about 1892 on and one of the new creations on Galoisian number fields was also incorporated in the report."" (Morris Kline in ""Mathematical Thoughts..."" pp. 825).‎

Referencia librero : 41356

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‎"WEIERSTRASS, KARL.‎

‎Abhandlungen aus der Functionenlehre.‎

‎Berlin, Julius Springer, 1886. Lex8vo. Contemp. hcalf. Spine gilt and with gilt lettering. (8),262 pp. A faint dampstain to inner lower corners on some leaves. The last 5 leaves a bit soiled.‎

‎First edition in book form of Weierstarss' s main papers in Function Theory. In this collected form the papers were slightly revised by the author. - Parkinson: Breakthroughs (He rigorously develops the theory of functions in ""Abhandlungen aus Functionentheorie"").‎

Referencia librero : 41357

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‎BLANC-LAPIERE, A. et ROBERT FORTET.‎

‎Theorie des Fonctions Alétoires. Applications a divers Phénomènes de Fluctuation.‎

‎Paris, 1953. Orig. cloth. XVI, 693 pp.‎

Referencia librero : 4137

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‎"GRAFFENRIED, JOHAN RUDOLFF von.‎

‎Arithmeticae Logisticae. Popularis Libri IIII. In welscher der Algorithmus in ganzen Zahlen und Fracturen/ sampt der Proportionen... Allen freyen Mathematischen Kunstbegierigen/ und jedermenniglich zu gutem auss den fürnembsten Authoren zusammen getra...‎

‎Bern, Abraham Weerli, (1618) - 1619. 4to. Contemporary full calf binding with brass clasps. Five raised bands and single gilt line-ornamentation to back. Single gilt line-borders to boards. Professional, very neat restorations to back. Some browning and a, mostly marginal, damp-stain to first leaves, but overall a very nice and attractive copy. Many diagrams and computations in the text. Title-page in red and black, with woodcut ornamental border. Woodcut title-pages to second, third, and fourth parts (all part of the collation, all dated 1618). 1/3 page woodcut at end. (56), 704, (16) pp. + two folded diagrams.‎

‎Extremely scarce first edition of this comprehensive mathematical work, which was important in the spreading of the understanding of mathematical concepts. Johnn Rudolph von Graffenried, an encestor of Niklaus von Graffenried, was born in 1584. His great passion was the understanding of mathematical concepts, and in 1618-19 he published his main work ""Arithmeticae Logisticae"", in which he deals with the mathematical theories and theorems of Cardanus, Christoph Rudolf, Glarean, Schoner, Stiffel, Ramus, etc. The first part of the work deals with calculating with cardinal and broken numbers, the second with proportion, progression, etc., the third with calculation of interest, society, demography etc., and the fourth with decimal fractions.The general state of mathematics and the teaching of mathematics in Switzerland in the early 17th century was in a bad state, and Graffenried came to play a dominant role in the spreading and teaching of arithmetic in Switzerland, mainly through the present work.‎

Referencia librero : 41475

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‎"PEIRCE, C(HARLES) S(ANDERS).‎

‎On the Algebra of Logic [In: American Journal of Mathematics. Volume III. Number I.]. - [INTRODUCING MODERN SEMANTICS]‎

‎Cambridge, 1880. 4to, entire issue present (Vol. III, no. 1). With the original printed wrappers. Uncut. Wrappers detached and with tears and loss to extremities. Backtrip gone. Stitching a bit loose. Internally nice and clean. Pp. (15)-57. [Entire issue 96 pp. + 2 plates]‎

‎The scarce first printing of Peirce's important paper ""On the Algebra of Logic"", in which he broke with the Aristotelian semantics of classes and introduced modern semantics, allowing a class symbol to be empty (as well as to be the universe), and stated the truth values of the categorical propositions that we use today.""This article holds a place of some importance in the history of formal logic and mathematics. In what is published here from the first chapter Peirce discusses that relationship between thinking and cerebration (or logic and physiology)."" (The Essential Peirce: 1867-1893 v. 1: Selected Philosophical Writings, Indiana University Press, 1992, 200 pp.‎

Referencia librero : 41486

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‎"PEIRCE, C(HARLES) S(ANDERS).‎

‎A Quincuncial Projection of the Sphere + On the Ghosts in Rutherfurd's Diffraction-Spectra. [In: American Journal of Mathematics. Volume II. Number 4.]. - [THE PEIRCE QUINCUNCIAL PROJECTION + ""GHOSTS""]‎

‎Baltimore, John Murphy & Co., 1879. 4to, entire issue present (Vol. II, no. 4). With the original printed wrappers. Uncut. Wrappers loose and with tears and loss to extremities. Backtrip gone. Stitching a bit loose. Internally nice and clean. First paper: A Quincuncial Projection of the Sphere pp. (394)-396 + 1 folded table. Second paper: On the Ghosts in Rutherfurd's Diffraction-Spectra pp. (330)-347. [Entire issue: pp. (293)-404 + IV, (2) pp]‎

‎Scarce first printings of these seminal papers, the first of which introduces Peirce's quincunical projection, the second of which documents his discovery of hitherto unknown diffraction phenomena called ""ghosts"".The Peirce quincuncial projection (published here for the first time) is a conformal map projection that presents the sphere as a square, which allowed for the displaying of the entire sphere with most areas being recognizable . Peirce called his projection quincuncial, after the arrangement of five items in a quincunx. ""For meteorological, magnetological and other purposes, it is convenient to have a projection of the sphere which shall show the connections of all parts of the surface."" Peirce himself wrote. (American Journal of Mathematics. Volume II. Number 4, 394 pp.)In ""On the Ghosts in Rutherfurd's Diffraction-Spectra"" Peirce documented his discovery of hitherto unknown diffraction phenomena called ""ghosts."" In his spectrum meter experiments, Peirce compared wave-lengths of light with the breadth of a diffraction plate. He used a machine called a comparator, a spectrometer he himself designed, and a diffraction plate designed by Lewis M. Rutherfurd.‎

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‎CONFORTO, FABIO‎

‎Abelsche Funktionen und Algebraische Geometrie. Aus dem nachlass bearbeitet und herausgegeben von W. Gröner, A. Andreotti und M. Rosati.‎

‎Berlin Heidelberg New York, Springer, 1956. 8vo. Original yellow full cloth with the original wrappers. Wrappers with a few tears, otherwise a nice and clean copy. XI, (1), 276 pp.‎

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‎"MINKOWSKI, HERMANN.‎

‎Untersuchungen über Quadratische Formen. I. Bestimmung der Anzahl verschiedener Formen, welche ein gegebenes Genus enthält.‎

‎(Berlin, Stockholm, Paris, Almqvist & Wiksell, 1885. 4to. Without wrappers, but stitched, as extracted from""Acta Mathematica. Hrsg. von G. Mittag-Leffler"", Vol.7, pp. 201-258.‎

‎First appearence of Minkowski's doctoral dissertation, which he received in 1885 from Königsberg.‎

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‎"GAUSS, CARL FRIEDRICH & NIELS HENRIK ABEL - ANNOUNCING ""THE PRINCIPLE OF LEAST CONSTRAINT"".‎

‎Über ein neues allgemeines Grundgesetz der Mechanik (Gauss) + (Abel:) Précis d'une théorie des fonctions elliptiques + Précis dúne théorie des fonctions elliptiques. (Suite du mémoire 19. cah. dern.). 3 Memoirs.‎

‎(Berlin, G. Reimer, 1829). 4to. No wrappers. Extracted from ""Journal für die reine und angewandte Mathematik. Hrsg. von A.L. Crelle"", Bd. 4. - Gauss' paper: pp. 232-35. - Abel's papers: pp. 236-278 and pp. 309-348.‎

‎First printing of probably Gauss' most importent work in physics by presenting his ""Principle of Least Action"" , which states that the motion of a system of points which are influenced both by each other and by outside conditions is such as to maximize the agreement with free motion, given the existent constraint. The work is based on his Potential Theory.""In it (the present paper) Gauss stated that the law of least constraint: the motion of a system departs a little as possible from free motion, where departure, or constraint, is measured by the sum of products of masses times the squares of their deviations from the path of free motion. He presented it merely as a new formulation equivalent to the well-known principle of d'Alembert. This work seems obviously related to the old meditations on least aquares, but Gauss wrote to Olbers on 31 January 1829 thai it was inspired by studies of capillarity and other physical problems."" (Kenneth O. May in DSB).The two papers (first printings) by Abel (book-lenghts memoirs) are his last works - he died 1829 and they were published after his death - on the theory of ""elliptic functions"", the discovery of which he shared with Jacobi. In these papers he mentions also the great discoveries published in his memoir 1826 (Memoire sur une proprieté générale d'un classe très-etendu de fonctions transcendentes), which was not published until 1841.Together with these 3 memoirs is found a paper by Alexander von Humboldt: ""Über die bei verschiedenen Völkern üblichen Systeme von Zahlzeichen und über den Ursprung des Stellenwerthes in den indischen Zahlen"", 1829. Pp. 205-231.‎

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‎"JACOBI, C.G.J.‎

‎De functionibus ellipticis commentatio.‎

‎(Berlin, G. Reimer, 1829). 4to. No wrappers. Extracted from""Journal für die reine und angewandte Mathematik. Hrsg. von A.L. Crelle"", Bd. 4. Jacobi's paper: pp. 371-390.‎

‎First printing of a key memoir in the establishment of ""Elliptic Functions"". The acknowledged founders of the theory of ""Elliptic Functions"" are Abel and Jacobi. Both had arrived at the key idea of working with inverse functions of the elliptic integrals, an idea Abel had since 1823. Jacoby next gave proof of the results he had published in 1827 ( a paper published in ""Astronomische Nachrichten"" in several articles in Crelle's Journal for the years 1828-30, -the offered paper is one of these.""The most celebrated results of his research were those in elliptic functions, published in 1829, which brought him the praise of Legendre.""(Boyer). The offred paper was incorporated in Jcobi's main work ""Fundamenta nova theoriae functionum ellipticarum"", published 1829.‎

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‎"HILBERT, DAVID. - WARING'S PROBLEM SOLVED.‎

‎Beweis für die Darstellbarkeit der ganzen Zahlen durch eine feste Anzahl nter Potenzen (Waringische Problem).‎

‎Leipzig, B.G. Teubner, 1909. Orig. printed wrappers. No backstrip. In. ""Mathematische Annalen. Hrsg. von Felix Klein, Walther v. Dyck, David Hilbert, Otto Rosenthal"", 67. Bd., 3. Heft. Pp. 281-432 (=3. Heft). Hilbert's paper: pp. 281-300.‎

‎First printing of a groundbreaking work in Number Theory. Edward Waring (1734-98) stated, in his ""Meditationes Algebraicae"" (1770), the theorem known now as ""Waring's Theorem"", that every integer is either a cube or the sum of at most nine cubes"" also every integer is either a fourth power of the sum of at most 19 fourth powers. He conjectured also that every positive integer can be expressed as the sum of at most r kth powers, the r depending on k. These theoremes were not proven by him, but by David Hilbert in the paper offered.Hilbert proves that for every integer n, there exists an integer m such that every integer is the sum of m nth powers. This expands upon the hypotheis of Edward Waring that each positive integer is a sum of 9 cubes (n=3, m=9) and of 19 fourth powers (n= 4, m=19).This issue also contains F. Hausdorff's ""Zur Hilbertschen Lösung des Waringschen Problems"", pp. 301-305.(Se Kline p. 609).‎

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‎"JACOBI, C.G.J. - ABELIAN TRANSCENDENTAL FUNCTIONS.‎

‎Considerationes generales de transcendentibus Abelianis. - [ABELIAN TRANSCENDENTAL FUNCTIONS]‎

‎Berlin, G. Reimer, 1832. 4to. Without wrappers. Extracted from ""Journal für die reine und angewandte Mathematik. Hrsg. von A.L. Crelle"", 9. Bd., Heft 4, pp. 313-403. Jacobi's paper pp. 394-403. With titlepage to vol. 9.‎

‎First printing of this important paper, bringing the problem with the Abelian integral to a solution. ""The further step was made by Jacobi in the short but very importent memoir ""Considerationes generales..."" (the paper offered): viz. he here shows for the hyper-elliptical integrals of any class (but the conclusion may be stated generally) that the direct functions to which Abel's theorem has reference are not functions of a single variable, such as the elliptic sn, cn, or dn, but functions of ""p"" variables...(Arthur Cayley in his ""Presidential Address to the British Association 1883).""Carl Jacobi in reviewing Adrien Legendre's third supplement to his ""Traite des fonctions elliptiques et des integrales Euleurienne"", suggests renaming Legendre's ""hyperelliptical transcendental functions"" as ""Abelian transcendental functions"" after Niels Henrik Abel. acobi, whiose work on hyperelliptic integrals helps lead to the extensive nineteenth-century development of the theory of abelian functions of n variables, suggests, in partial analogy to doubly periodic functions, that hyperelliptic integrals can be inverted to hyperelliptic functions through a generalization of elliptic theta functions."" (Parkinson in ""Breakthroughs (1832"").‎

Referencia librero : 41658

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‎"KIRCHHOFF, GUSTAVE ROBERT - KIRCHHOFF'S HYDRODYNAMICS.‎

‎Ueber die Bewegung eines Rotationskörpers in einer Flüssigkeit. + Ueber die Kräfte. welche zwei unendlich dünne, starre Ringe in einer Flüssigkeit scheinbar auf einander ausüben können. (2 Papers).‎

‎Berlin, G. Reimer, 1870. 4to. Without wrappers. In: ""Journal für die reine und angewandte Mathematik. Hrsg. von A.L. Crelle"", 71. Bd., Heft 3, pp. (2),201-304. Entire issue offered with titlepage. Kirchhoff's papers: pp. 237-262 and pp. 263-273. Light browning to titlepage. A few scattered brownspots to margins.‎

‎First printing of these two importent papers, forming the substance of Kirchhoff's hydrodynamics.Kirchhoff was the first to show how the differential equations as used on rigid bodies, could elegantly be used on ideal fluid bodies, to. (The Kirchhoff-Clebsch equations).The issue contains further R. Lipschitz: Entwicklung einiger Eigenschaften der quadratischen Formen von n Differentialen. 1.-2. Mittheilung. Pp. 274-287 and 288-304.‎

Referencia librero : 41673

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‎"ABEL, NIELS HENRIK - C.G.J. JACOBI - ON ELLIPTIC FUNCTIONS.‎

‎Sur de notices sur les fonctions elliptiques (Jacobi). (+ Abel:) Théorèmes sur les fonctions elliptiques. (+ Abel:) Démonstration d'une proprieté générale d'une certaine classe de fonctions transcendentes.‎

‎Berlin, G. Reimer, 1829. 4to. Without wrappers. Extracted from ""Journal für die reine und angewandte Mathematik. Hrsg. von A.L. Crelle"", 4. Bd., Heft 2. - Jacobi's paper PP. 185-193. Abel's papers pp. 194-199 a. 200-214.‎

‎First printing. The first two papers relates to the discovery of ""Elliptic Functions"" by its two discoverers, Abel and Jacobi (a paper issued before his classic treatise ""Fundamenta Nova..."") on elliptic functions.‎

Referencia librero : 41680

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‎"THOMÉ, LUDVIG G.‎

‎13 papers on ""Linearen Differentialgleichungen"" und ""Differentialgleichungen mitt algebraischen Koeffizienten"" etc.‎

‎Berlin, G. Reimer, 1887-1901. 4to. All 13 offprints from ""Journal für die reine und angewandte Mathematik. Hrsg. von A.L. Crelle"", Bde. 100-123. Some of the offprints with traces after having been folded.‎

‎All first printing.‎

Referencia librero : 41691

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‎THOMÉ, LUDVIG G.‎

‎De Seriebus secundum Functiones quae vocantur sphaericae progredientibus. Dissertatio Inauguralis...XIV M. Augusti A. MDCCCLXV.‎

‎Berlin, Schultze, 1865 4to. As issued, no wrappers. Stramps on titlepage. 21,(3) pp. A little brownspotted.‎

‎First edition of Thomé's doctotal dissertation, which was written with Karl Weierstrass as advisor.‎

Referencia librero : 41692

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‎"EULER, LEONHARD - THE PRINCIPLE OF LEAST ACTION‎

‎Harmonie entre les Principes generaux de repos et de Mouvement de M. de Maupertuis.‎

‎(Berlin, Haude et Spener, 1753). 4to. No wrappers, as extracted from ""Mémoires de l'Academie Royale des Sciences et Belles-Lettres"", tome VII, pp. (167-)198.and 2 folded engraved plates.‎

‎First printing of this memoir in which Euler tries to show that the ""harmony"" between Maupertuis' Law of rest, which he formulated for any system of bodies attracted by forces, is a generalization of his own Principle of least Action.‎

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‎"BOOLE, GEORG - FOUNDING MODERN DIGITAL COMPUTER SCIENCE.‎

‎The Calculus of Logic.‎

‎Cambridge, Macmillan, Barclay, and Macmillan, 1848. No wrappers as extracted from ""The Cambridge and Dublin Mathematical Journal. Edited by W. Thomson."" Vol. III. Pp. 183-198. Having the titlepage (2) pp. to the entire volume.‎

‎First printing of this major paper in the founding of mathematical logic and pure mathematics. The paper offered here is a continuation of Boole's ""The Mathematical Analysis of Logic""(1847), pioneering the assimilation of logic to mathematics.Boole showed that how mathematical techniques could be applied to the study of logic, and as such he laid the foundations for the axiomatic and deductive treatment og logic, the Boolean algebra, which find imortent applications in both probability theory and computing. This mathematication of logic was undertaken by Frege and brought to a climax by Whitehead and Russell. Boolean algebra was used for this purpose.Boole's work contains what Bertrand Russell called the greatest discovery of the nineteenth century: the nature of pure mathematics.‎

Referencia librero : 41705

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‎"EULER, LEONHARD.‎

‎Solution d'une Question tres difficile dansl le Calcul des Probabilités.‎

‎(Berlin, Haude et Spener, 1771). 4to. No wrappers as issued in ""Memoires de l'Academie Royale des Sciences et Belles Lettres"". tome XXV, pp. 285-302. Fine and clean.‎

‎First printing of one of Euler's papers in probabilistic analysis, dealing with an analysis of a lottery for which there are several classes and a guarateed payment.The Genoise lottery was the first number lottery. It and its variants were discussed by many mathematicians because such lotteries were perceived to be unfair and because they gave rise to many interesting problems. Usually it took the form of choosing 5 from 100 with various payoffs depending upon the wager made. - Enestroem E 412.‎

Referencia librero : 41875

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‎"JACOBI, C.G.J. - PAVING THE WAY FOR DOUBLE PERIODIC FUNCTIONS.‎

‎De functionibus duarum variabilium quadrupliciter periodicis, quibus theoria transcendentium Abelianarum innititur.‎

‎(Berlin, G. Reimer, 1835) 4to. No wrappers as extracted from""Journal für die reine und angewandte Mathematik. Hrsg. von A.L. Crelle"", Bd. 13. Jacobi's paper: pp. 55-78.‎

‎First appearance of an importent paper on the functions of a complex variable.In an importent paper of 1835 (the item offered) Jacobi showed that a single-valued function of a single variable which for every finite value of the argument has the character of a rational function (that is, is a meromorphic function) cannot have more than two periods, the ratio of the periodics is necessarily a nonreal number. This discovery opened up a new direction of work, namely, the problem of finding all double periodic functions."" (Morris Kline).‎

Referencia librero : 41885

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‎"PLÜCKER, JULIUS.‎

‎Über ein neues Princip der Geometrie und den Gebrauch allgemeiner Symbole und unbestimmter Ciëfficienten‎

‎(Berlin, G. Reimer, 1830). 4to. No wrappers. Extracted from ""Journal für die reine und angewandte Mathematik. Hrsg. von A.L. Crelle"", Bd. 5. - Plücker's paper pp. 268-286.‎

‎First appearance of a paper which relates to Plücker's ""New Geometry"".‎

Referencia librero : 41886

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‎"MÖBIUS, A.F.‎

‎Über eine allgemeinere Art der Affinität geometrischer Figuren.‎

‎(Berlin, G. Reimer, 1834). 4to. No wrappers. Extracted from ""Journal für die reine und angewandte Mathematik. Hrsg. von A.L. Crelle"", Bd. 12.. Pp. 109-136.‎

‎First appearance of this paper in projective geometry, which can be seen as an extension of a chapter in the author's famous ""Baryzentrischer Kalkül""‎

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‎"EUCLID (EUKLID) OF ALEXANDRIA. - FIRST DANISH EDITION OF ""EUCLID"".‎

‎Euclidis Elementa Geometriæ, Det er, Første Grund Til Geometrien, I det Danske Sprog oversat af Ernst Gotlieb Ziegenbalg.‎

‎Kjøbenhavn, Ernst Henrik Berling, 1744. 4to. Samt. hldrbd. over træ. Ryg lidt slidt Overtrækspapiret på permer med mangler.(12),20,311 pp. samt 5 foldede kobberstukne plancher, i teksten talrige geometriske figurer. De første blade og de 5 plancher med en svag vandskjold. Svag skjold på de sidste ca 20 blade. En del blade med brunplet i øvre margin.4to. Contemporary half calf over wooden boards. Spine a bit worn and lacing some of the paper over boards. Faint damp stain to first leaves, to plates, and to the last ab. 20 leaves. Some leaves with a brown spot to upper margin. (12), 20, 311 pp + 5 folded engraved plates. Numerous geometrical figures in the text.‎

‎Første udgave på dansk af Euclids ""Elementer"", omfattende Bog 1-6 og 11-12. J.F. Ramus have allerede nogle år tidligere udgivet Euclid, men disse var mindre lærebøger i uddrag og på latin. Oversættelsen indeholder en lang introduktion af Ramus ""Betænkning om Euclidis Elementer og om deres Oversættelse i det Danske Sprog.""Ziegenbalg var teologisk kandidat, men havde studeret matematik i flere år, både i Jena og i England. Han blev udnævnt til professor i matematik ved Københavns Universitet efter Ramus, og havde i nogle år forinden fungeret som dennes assistent. Hans oversættelse er dedikeret Christian den VI, og i forordet introducerer han den således ""offereres (oversættelsen) Deres Kongelige Majestæt...disse udi det Danske Sprog oversatte Elementa Geometriæ, som ere Hoved=Kilden til alle Mathematiske Videnskaber og have nu i 2000 Aar været i saa stor Estime, at alle de største og erfarne Mathematici have grundet deres Skrifter paa dem og at de til almindelig Nytte og Brug ere bekientgiorte næsten udi alle Europæiske, men ey tilforn i dette Sprog.""First edition of the first Euclid-translation into Danish, comprising Book 1-6 and 11-12. Bound in cont. hcalf. Rebacked in old style. A good copy. - Riccardi, Bibl. Euclideana, Parte 4, p. 47. - Bibl. Danica IV:96.‎

Referencia librero : 41890

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‎"MINKOWSKI, HERMANN. - DOCTORIAL THESIS‎

‎Untersuchungen über quadratische Formen. I. Bestimmung der Anzahl verschiedener Formen, welche ein gegebenes Genus enthält.‎

‎(Stockholm, F.& G. Beier), 1885. 4to. Orig. printed wrappers (to Acta Math. 7:3). Extracted from ""Acta Mathematica"", Vol. 7. Pp. . Clean and fine.‎

‎First printing of Minkowski's doctorial dissertation, which he received from Königsberg.""From his Grand Prix paper (on five squares integers) to his last work Minkowski never ceased to return to the arithmetic of quadratic forms in n variables (""n-ary forms""). Ever since Gauss' pioneering work on binary quadratic forms at the beginning of the nineteenth century, the generalization of his results to n-ary forms had been the goal of many mathematicians including Eisenstein, Hermite, Smith, Jordan, and Poincaré. Minkowski' most importent contributions to the theory were for quadratic forms with rational coefficients, through a system of three invariants of the form and (in a later paper) a paper from 1905.""(DSB).‎

Referencia librero : 41898

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‎"POINCARÉ, HENRI.‎

‎Sur les Groupes des Equations linèaires.‎

‎(Stockholm, F.& G. Beier), 1885. 4to. Orig. printed wrappers (to Acta Mathematica 4:3). Extracted from ""Acta Mathematica"", Vol. 4. Pp. 201-312. Clean and fine.‎

‎First appearance of a major paper on differential equations of the first order""...the whole theory of automorphic functions was from the start guided by the idea of integrating linear differential equations with algebraic coefficients. Poincaré simultaneously investigated the local problem of linear differential equation in the neighborhood of an ""irregular"" singular point, showing for the first time how asymptotic developments could be obtained for the integrals. A little later (1884, the paper offered) he took up the question, also started by I.L. Fuchs, of the determination of all differential equations of the first order (in the complex domain) algebraic in y and y' and having fixed singular points"" his rechearches was to be extended by Picard for equations of the second order, and to lead to the spectacular results of Painlevé and his school at the beginning of the tweentieth century.""(DSB).‎

Referencia librero : 41900

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‎"DIRICHLET, G. LEJEUNE. - THE INTRODUCTION OF THE ""DIRICHLET SERIES""‎

‎Recherches sur diverses applications de L'Analyse infinitésimale à la Théorie des Nombres. Premiere - Seconde artie. (2 Papers).‎

‎Berlin, G. Reimer, 1839-40. 4to. Without wrappers. Extracted from: ""Journal für die reine und angewandte Mathematik. Hrsg. von A.L. Crelle"", Bd. 19 a. Bd. 21, pp. 324-369 a. pp. 1-12.. 4 leaves in part 1 with browning, due to the poor paperquality.‎

‎First appearance of this importent paper in which he introduces the ""Dirichlet series"", applicating analysis to the theory of numbers. The paper is especially known for its central use of the limiting proces.‎

Referencia librero : 41972

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‎"MINKOWSKI, HERMANN. - THE MINKOWSKI PROBLEM.‎

‎Volumen und Oberfläche.‎

‎Leipzig, B.G. Teubner, 1903. Orig. printed wrappers. No backstrip. In: ""Mathematische Annalen begründet durch Georg Clebsch und Carl Neumann"", 57. Bd., 4. Heft. The whole issue offered (=4.heft). Pp. 425-572. Minkowski's paper: pp. 447-495.‎

‎First appearance of the formulation of the Minkowski Problem.The Minkowski problem deals with existence, uniqueness, regularity, and stability of closed convex hypersurfaces whose Gauss curvature (as a function of the outer normals) is preassigned. Major contributions to this problem were made by Minkowski in the offered paper.‎

Referencia librero : 41974

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‎ROBINSON, ABRAHAM.‎

‎Introduction to Model Theory and to the Metamathematics of Algebra. Second revised printing).‎

‎Amsterdam, London, North-Holland, (1974). Orig. full cloth. IX,284 pp.‎

Referencia librero : 41987

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‎APPOLLONIUS - (CARL JOHAN DANIELSSON HILL).‎

‎Försök til en Theoretisk och Practisk Lära om Apollonii Parabel.‎

‎Lund, 1832. Samtidigt hldrbd. Rig rygforgyldning, men ryg slidt og lang revne i forreste fals. Kobberstukket titelblad med vignet, som viser kanonskuddets parabel. VIII,228 pp. 3 kobberstukne plancher, den ene adskilt i to. Gennemstukket med hvide blade, hvorpå talrige tilføjelser i gl. hånd, ligeledes en del løst indlagte blade med formler og beregninger. Tekstblade rene.‎

‎Hill var professor i matematik og rektor ved Lunds Universitet.‎

Referencia librero : 41992

Livre Rare Book

Herman H. J. Lynge & Son
Copenhagen Denmark Dinamarca Dinamarca Danemark
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‎"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.‎

Referencia librero : 42021

Livre Rare Book

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‎"BOOLE, GEORGE.‎

‎On the Theory of Probabilities. Received June 19, - Read June 19, 1862.‎

‎London, Taylor and Francis, 1862. 4to. No wrappers as extracted from ""Philosophical Transactions"" 1862. Vol. 152 - Part I. Pp. 225-252. Clean and fine, wide-margined..‎

‎First appearance of one of Boole's last papers. - ""This paper has for its object the investigation of the general analytical condition of a Method for the solution of Questions in the Theory of Probabilities, which was proposed by me in a work entitled ""An Investigation of the Laws of Thought, 1854."" (Foreword to the paper).George Boole is mostly known for his ""An Investigation on the Laws of Thought"" 1854 and his developments of a form of symbolic logic, called Boolean Algebra. But he also did importent work on the Calculus, Differential Equations and the Theory of probabilities.‎

Referencia librero : 42126

Livre Rare Book

Herman H. J. Lynge & Son
Copenhagen Denmark Dinamarca Dinamarca Danemark
[Libros de Herman H. J. Lynge & Son]

€201.45 Comprar

‎"BOOLE, GEORGE.‎

‎On Simultaneous Differential Equations of the First Order in which the Number of the ariables exceeds by more than one the umber of the Equations. Received June 19, - Read June 19, 1862.‎

‎London, Taylor and Francis, 1862. 4to. No wrappers as extracted from ""Philosophical Transactions"" 1862. Vol. 152 - Part I. Pp. 225-252. A very faint dampstain to upper corners on the last 2 leaves, otherwise clean and fine, wide-margined..‎

‎First appearance of one of Boole's last papers.George Boole is mostly known for his ""An Investigation on the Laws of Thought"" 1854 and his developments of a form of symbolic logik, called Boolean Algebra. But he also did importent work on the Calculus, Differential Equations and the heory of probabilities.‎

Referencia librero : 42127

Livre Rare Book

Herman H. J. Lynge & Son
Copenhagen Denmark Dinamarca Dinamarca Danemark
[Libros de Herman H. J. Lynge & Son]

€201.45 Comprar

‎"BABBAGE, C. (CHARLES). - CREATING A NEW BRANCH OF MATHEMATICS.‎

‎An Essay towards the calculus of functions. Communicated by W.H. Wollaston. Read June 15, 1815. (+) An essay towards the calculus of functions. Part II. Communicated by W.H.Wollaston. Read March 14, 1816. (2 Papers).‎

‎(London, W. Bulmer and Co., 1815 and 1816). 4to. No wrappers as extracted from ""Philosophical Transactions"" 1815 - Part I. and 1816 - Part II. Having both titlepages to the parts. Pp. (2),389-446 and (2),179-256. First titlepage with a stamp on verso. Otherwise fine and clean.‎

‎First printings of Babbage's main mathematical contributions.""Babbage's major Contribution to mathematics was his calculus of functions, which he became interested in as early as 1809 and continued to develop during his years at Cambridge. Babbage presents his major ideas on the subject in the above two papers, published in the ""Philosophical Transactions"" in 1815 and 1816. ""It can be said with some assurance that no mathematician prior to Babbage had treated the calculus of functions in such systematic way...Babbage must be given full credit as the inventor of a distinct and importent branch of mathematics"" (Dubbey 1978, 90). Elsewhere Dubby states that his new scheme would serve as a generalized calculus to include all problems capable of analytical formulation, and it is possible to see here a hint of the inspiration for his concept of THE ANALYTICAL ENGINE. While the work on the engines and his other scientific, social and political activities caused him virtually to abandon mathematical research at the age of thirty, the calculus of functions was the area he often yearned to continue. In fact the calculus of functions was not taken up by other workers, and it is the aspect of Babbage's mathematical work that modern mathematicians find most fascinating (Dubbey 1989, 18-19)."" (Hook a. Norman No. 19).Charles Babbage, William Herschel and George Peacock founded in 1810 in Cambridge the ""Analytical Society"", at Trinity College in order to reform the notation and the teaching of mathematics in England, introducing Leibniz' differential notation instead of Newton's fluxions. The continental texts and papers then became accessible to English students.‎

Referencia librero : 42184

Livre Rare Book

Herman H. J. Lynge & Son
Copenhagen Denmark Dinamarca Dinamarca Danemark
[Libros de Herman H. J. Lynge & Son]

€1,275.85 Comprar

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