‎MATHEMATIQUES COURS ELEMENTAIRE 2e ANNEE‎

‎DELAGRAVE. 1976. In-8. Cartonné. Etat passable, Plats abîmés, Dos abîmé, Déchirures. 128 pages. . . . Classification Dewey : 372.7-Livre scolaire : mathématiques‎

‎ Classification Dewey : 372.7-Livre scolaire : mathématiques‎

‎MATHEMATIQUES, COURS PREPARATOIRE, 2E CAHIER‎

‎DELAGRAVE. 1977. In-8. Broché. Bon état, Couv. convenable, Dos satisfaisant, Intérieur frais. 64 pages. Nombreuses illustrations en noir et blanc et en couleurs, dans le texte et hors texte.. . . . Classification Dewey : 372.7-Livre scolaire : mathématiques‎

‎ Classification Dewey : 372.7-Livre scolaire : mathématiques‎

‎Cours de mathématiques : algèbre, géométrie analytique, éléments du calcul des probabilités.‎

‎Bruxelles, Maison d'Editions Alfred Castaigne, 1903. 16 x 24, 272 pp., nombreuses figures, reliure dos toilé, bon état (1 cachet ex-propriétaire).‎

‎Abstract Harmonic Analysis. Vol. I: Structure of Topological Groups, Integration Theory, Group Representations.‎

‎Berlin, Göttingen, Heidelberg, Springer-Verlag, 1963. Orig. full cloth. VIII,547 pp. Clean and fine.‎

‎Mathematische Grundlagenforschung Intuitionismus. Beweistheorie.‎

‎Berlin, Julius Springer, 1934. Bound with orig. wrappers in contemp. full cloth. Gilt lettering to spine. IV,73,(1) pp. A mint copy. (Issued in the series ""Ergebnisse der Mathematik und ihrer Grenzgebiete...Dritter Band.""‎

‎First edition. Heyting studied under Brouwer and became the leading figure of the 'Intutionistic School' in Logic and Mathematics. His work on Intuitionism and Proof Theory - the item offered - is a concise and well written survey in which the viewpoints of intuitionism and formalism are clearly described and contrasted. (A.S. Troelstra).‎

‎PRECIS DE MATHEMATIQUE COMMERCIALES ET FINANCIERES.‎

‎DELAGRAVE. Non daté. In-12. Cartonnage d'éditeurs. Etat d'usage, Coins frottés, Dos frotté, Intérieur frais. 568 + 8 pages. Toilé vert, titres dorés.. . . . Classification Dewey : 510-Mathématiques‎

‎2e édition. Ecoles supérieures de commerce, Banque de France, professorat. Classification Dewey : 510-Mathématiques‎

‎Introduction à la théorie de la relativité calcul différentiel absolu et géométrie.‎

‎Gauthier-Villars et cie. 1923. In-8. Broché. Etat d'usage, Couv. convenable, Dos abîmé, Papier jauni. 457 pages - coiffe en tête abîmée - étiquette collée sur le 2ème plat.. . . . Classification Dewey : 510-Mathématiques‎

‎ Classification Dewey : 510-Mathématiques‎

‎TRAITE D'ARITHMETIQUE REDIGE CONFORMEMENT A PROGRAMME DE L'ENSEIGNEMENT - HUITIEME EDITION REVUE ET CORRIGEE PAR F.VINTEJOUX.‎

‎DELAGRAVE. 1892. In-8. Relié. Etat d'usage, Couv. légèrement passée, Dos satisfaisant, Quelques rousseurs. 352 pages - quelques rousseurs sans conséquence sur la lecture - coins frottés - plats marbrés - coiffe en tête abîmée - titre + auteur + fleurons dorés sur le dos.. . . . Classification Dewey : 372.7-Livre scolaire : mathématiques‎

‎Sommaire : des nombres entiers - propriétés des nombres entiers - des nombres qui ne sont pas entiers - des nouvelles et des anciennes mesures - des puissances et des racines - des rapports et proportions et de leurs applications etc... Classification Dewey : 372.7-Livre scolaire : mathématiques‎

‎TRAITE D'ARITHMETRIQUE A L'USAGE DES ELEVES DE MATHEMATIQUES A ET B ET DES CANDIDATS AU BACCALAUREAT AVEC DES COMPLEMENTS DESTINES AUX CANDIDATS AUX GRANDES ECOLES DU GOUVERNEMENT - CINQUIEME EDITION‎

‎VUIBERT. 1922. In-8. Broché. A restaurer, Couv. défraîchie, Dos abîmé, Intérieur acceptable. 496 pages. 1er et 2ème plat détachés et déchirée. 4 premières pages détachées.. . . . Classification Dewey : 372.7-Livre scolaire : mathématiques‎

‎Préface de J. Tannery. Classification Dewey : 372.7-Livre scolaire : mathématiques‎

‎Nouveaux tours de mathémagique.‎

‎Paris, Editions Ellipses, 2009. 16 x 24, 159 pp., nombreuses illustrations en N/B, broché, bon état.‎

‎Notes on Categories and Groupoids. Van Nostrand Reinhold Mathematical Studies, 32.‎

‎ New York, Cincinnati, Toronto, London, Melbourne, Van Nostrand Reinhold Company 1971, 205x135mm, IV - 178pages, paperback. ‎

‎Mathématiques.‎

‎CHANTECLER. 1977. In-4. Cartonné. Bon état, Couv. convenable, Dos satisfaisant, Intérieur frais. 48 pages. Nombreux dessins en noir et blanc et en couleurs dans le texte.. . . . Classification Dewey : 510-Mathématiques‎

‎"Collection "" Qui ? Pourquoi?"" Classification Dewey : 510-Mathématiques"‎

‎Theorie der algebraischen Zahlkörper ; Theorie des Kreiskörpers in Meyer (W.F.) Encyklopadie der Mathematischen Wissenschafter. Arithmetik und Algebra -- EDITION ORIGINALE -- BEL EXEMPLAIRE -- 2 VOLUMES ‎

‎Leipzig, Teubner, 1898/1904, 2 volumes grand in 8, demi-basane marron à coins, dos orné de filets dorés (reliures de l'époque)‎

‎---- EDITION ORIGINALE ---- BEL EXEMPLAIRE ---- Partie complète de cette encyclopédie consacrée à l'arithmétique et à l'algèbre par les meilleurs savants allemands de l'époque. Parmi les mémoires contenus dans ces deux volumes figurent ceux de HILBERT ---- HILBERT(D.). Theorie der algebraischen Zahlkörper ; Theorie des Kreiskörpers ---- SCHUBERT(H. Von). Grundlagen der Arithmetik - NETTO(E. Von). Kombinatorik - PRINGSHEIM (A. Von). Irrationalzahlen und Konvergenz unendlicher prozesse - STUDY(E.). Theorie der gemeinen und höheren komplexen Grössen - SCHONFLIESS (A.). Mengenlehre - BURKHARDT (H.). Endliche diskrete Gruppen - NETTO(E.). Rationale Funktionen einer Veränderlichen ; ihre Nullstellen . Raztionale Funktionen mehrerer Veränderlichen - LANDSBERG (G.). Algebraische gebilde. Arithmetische Theorie algebraischer Grössen - MEYER(W.). Invariantentheorie - HOLDER(O.). Galois'sche Theorie mit Anwendungen - BACHMANN (P.). Niedere Zahlentheorie - AHRENS (W.). Mathematische Spiele - PARETO(V.). Anwendungen der Mathematik auf Nationalökonomie - PRINGSHEIM (A.). Unendliche Prozesse mit komplexen Termen - etc**5977/N7AR‎

‎Beweis für die Darstellbarkeit der ganzen Zahlen durch eine feste Anzahl n-ter Potenzen (Waringsches Problem). Dem Andenken an Hermann Minkowski Gewidmet. - [Hilbert-Kamke problem]‎

‎Leipzig, B. G. Teubner, 1909. 8vo. Bound in contemporary half calf with gilt lettering to spine. In ""Mathematische Annalen"", 67 band. 1909. Bookplates to pasted down front free end-paper and library stamp to verso of title page. Top half of spine is detached. Bookblock, however, still firmly attached. Fine and clean. Pp. 281-300. [Entire volume: IV, 575 pp.].‎

‎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).‎

‎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).‎

‎Ein Beitrag zur Theorie des Legendre'schen Polynoms. - [HILBERT MATRIX]‎

‎Berlin, Stockholm, Paris, Almqvist & Wiksell, 1894. 4to. Bound in contemporary half cloth with gilt lettering to spine. In ""Acta Mathematica"", Vol, 18, 1894. Entire volume offered. Stamps to title page and light wear to extremities, otherwise a fine and clean copy. Pp. 155-59.[Entire volume: (4), 421, (2) pp].‎

‎First printing of Hilbert's paper in which he introduced The Hilbert Matrix. In linear algebra, a Hilbert matrix is a square matrix with entries being the unit fractions. The Hilbert matrix is symmetric and positive definite and is also totally positive (meaning the determinant of every submatrix is positive). The Hilbert matrix is an example of a Hankel matrix.‎

‎Grundlagen der Geometrie. Zweite, durch Zusätze vermehrte und mit fünf Anhängen versehene Auflage. Mit zahlreichen in den Text gedruckten Abbildungen.‎

‎Leipzig, B.G. Teubner, 1903. Lex8vo. Orig. full cloth. Very slightly rubbed, a few tiny stains on covers. Small stamp on titlepage.V,175 pp. + Publishers announcements (2) pp.‎

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‎Scarce second edition of a work which went through 15 editions in 100 years as one of the most influential mathematical publications of the 20th century. ""The development of Hilberts Grundlagen der Geometrie was not finished with the first edition. The complete content was continously revised, especially during his lifetime. He considered new results, gave hints in articles and improved his own formulations."" (Michael Toepell in Landmarks Writings in Western Mathematics). This second edition is nearly 2 times larger than the first edition, expanded with 5 supplements (Anhänge).‎

‎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).‎

‎Hermann Minkowski. - [HILBERT'S OBITUARY OVER MINKOWSKI]‎

‎Leipzig, Teubner, 1910. 8vo. Without wrappers. Extracted from ""Mathematische Annalen. Begründet 1868 durch Alfred Clebsch und Carl Neumann. 68. Band"". Pp. 445-471.‎

‎First edition of Hilbert's obituary over Herbert Minkowski. Minkowski, Hilbert's ""best and truest friend"" (Reid, Hilbert P. 121), died prematurely of a ruptured appendix in 1909. Minkowski and Hilbert, both natives of Königsberg would exercise a reciprocal influence over each other throughout their scientific careers. ‎

‎Hilbertiana. Fünf Aufsätze.‎

‎Darmstadt, 1964. Orig. full cloth. (4),108 pp.‎

‎Naturerkennen und Logik. - [WIR MÜSSEN WISSEN, WIR WERDEN WISSEN]‎

‎Berlin, Julius Springer, 1930. In: 'Die Naturwissenschaften', volume 18, issue 47/48/49 (in one) pp.959-63. Entire number offered here in original printed wrappers (pp.957-1084). This number is entirely dedicated to speaches held at the 91st 'Congress of the Association of German Natural Scientists and Medical Doctors'. Spine strip with a few tears, else fine.‎

‎First edition. Hilbert's celebrated address in which he finished with his famouse words 'Wir müssen wissen, Wir werden wissen' / We must know, We will know. ‎

‎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).‎

‎The Foundations of Geometry. Authorized translation by E.J. Townsend.‎

‎Chicago, Open Court, 1902. Small 8vo. Orig. full red cloth, gilt. A rather faint dampstain along first hinge on frontcover, otherwise fine. VII,143 pp.‎

‎First English edition of Hilbert's ""Grundlagen der Geometrie"" from 1899, one of the most influential publications in 2oth Century mathematics.Throughout the 19th century geometry was developed far beyond our intuitive conception of space" hyperbolic geometry was discovered by Gauss, Bolyai, and Lobachevsky and elliptic geometry by Riemann. However, Euclidean and non-Euclidean geometry still involved an intuitive idea about the concepts 'point', 'line', 'lies on', 'between', etc. In his 'Grundlagen' Hilbert set out to give a strictly formal formulation of geometry were points, lines, planes are nothing more than abstract symbols and concepts as 'lies on' are simply algebraic relations between these symbols. Through his method Hilbert could analyse independence and completeness of the axioms for geometry and he presented a new smaller set of axioms for Euclidean geometry. It can not be said that the 'Grundlagen' contains new and surprising discoveries, its importance lies in the great influence which Hilbert's method had on all fields of mathematics, and even other sciences as physics, chemistry, and biology. The 'Grundlagen' initiated a whole new paradigm shift and eventually evolved mathematics, throughout the 20th century, into a network of axiomatic formal systems.‎

‎The Foundations of Geometry. Authorized translation by E.J. Townsend.‎

‎Chicago, Open Court, 1902. Small 8vo. Orig. full red cloth. Wear to topof spine. Old owners name on title-page. VII,143 pp., textfigs. Clean and fine.‎

‎First English edition of Hilbert's ""Grundlagen der Geometrie"" from 1899, one of the most influential publications in 2oth Century mathematics. Throughout the 19th century geometry was developed far beyond our intuitive conception of space" hyperbolic geometry was discovered by Gauss, Bolyai, and Lobachevsky and elliptic geometry by Riemann. However, Euclidean and non-Euclidean geometry still involved an intuitive idea about the concepts 'point', 'line', 'lies on', 'between', etc. In his 'Grundlagen' Hilbert set out to give a strictly formal formulation of geometry were points, lines, planes are nothing more than abstract symbols and concepts as 'lies on' are simply algebraic relations between these symbols. Through his method Hilbert could analyse independence and completeness of the axioms for geometry and he presented a new smaller set of axioms for Euclidean geometry. It can not be said that the 'Grundlagen' contains new and surprising discoveries, its importance lies in the great influence which Hilbert's method had on all fields of mathematics, and even other sciences as physics, chemistry, and biology. The 'Grundlagen' initiated a whole new paradigm shift and eventually evolved mathematics, throughout the 20th century, into a network of axiomatic formal systems.‎

‎Ueber binäre Formen mit vorgeschriebener Discriminante.‎

‎Leipzig, B. G. Teubner, 1888. 8vo. Bound in recent full black cloth with gilt lettering to spine. In ""Mathematische Annalen"", Volume 31., 1888. 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. Very fine and clean. Pp. 482-492. [Entire volume: IV, 606 pp.].‎

‎First printing of Hilbert's paper on binary forms. ‎