‎Formules et propositions pour l'emploi des fonctions elliptiques d'après des leçons et des notes manuscrites de M. K. WEIERSTRASS, rédigées et publiées par M. H.A. SCHWARZ. Traduit de l'allemand par Henri PADE -- PREMIERE EDITION FRANCAISE -- RARE -- TRES BEL EXEMPLAIRE‎

‎P., Padé, 1894, un volume grand in 4 relié en pleine toile verte éditeur, filets dorés et titre en lettres dorées sur le premier plat de couverture, 8pp., 96pp.‎

‎---- PREMIERE EDITION FRANCAISE ---- RARE -- TRES BEL EXEMPLAIRE ---- "Admired by POINCARE for his unity of thought, WEIERSTRASS WAS THE MOST IMPORTANT NINETEENTH-CENTURY GERMAN MATHEMATICIAN AFTER GAUSS AND RIEMANN". (DSB XIV pp. 219/224) ---- CAJORI pp. 423/425.‎

‎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"").‎

‎Über eine besondere Gattung von Minimalflecken.‎

‎Berlin, Königl. Akad. d. Wissenschaften, 1867. Orig. printed wrappers, uncut. In ""Monatsbericht der Königlich Preussischen Akademie der Wissenschaften zu Berlin"", August 1867, pp. 511-598. Weierstrass' paper: pp. 511-518.‎

‎First edition. Weierstrass is considered the most important German mathematician in the nineteenth-century after Gauss and Riemann.‎

‎Über eine besondere Gattung von Minimalflächen.‎

‎Berlin, Harrwitz und Gossmann, 1867. 8vo. Uncut opened in the original printed wrappers. In ""Monatsbericht der Königlich Preussischen Akademie der Wissenschaften zu Berlin"", August 1867. Pp. 511-518. [Entire heft: Pp. 511-488].‎

‎First edition.‎

‎Über einen Functionentheoretischen Satz des Herrn G. Mittag-Leffler. (And same author:) Zur Funktionenlehre.‎

‎Berlin, Akaemie der Wissenschaften, 1880. Uncut in orig. printed wrappers. In ""Monatsbericht der Königlich Preussischen Akademie der Wissenschaften zu Berlin."", August 1880, pp. 719-43. Weierstrass' papers: pp. 707-717 and 719-43.‎

‎Both papers first edition. In ""Zur Funktionenlehre"" Weierstrass continues his polemic with Riemann's ideas. Here it is on the topic of the very concept of an analytic function, where Weierstrass placed power series as the starting point, in opposition to Riemann's idea.‎

‎Über die Flächen, deren mittlere Krümmung überall gleich Null ist"" (And Kronecker:) Über bilineare Formen.‎

‎Berlin, Königl. Akad. d. Wissenschaften, 1866. Uncut in orig. printed wrappers in ""Monatsbericht der Königlichen Preussischen Akademie der Wissenschaften zu Berlin"", Sept., October 1866. Pp. 595-655. Weierstrass' paper: pp.612-625. Kronecker's paper: pp. 597-612‎

‎Both papers first edition. Weierstrass is considered the most importen nineteenth-century german mathematician after Gauss and Riemann.‎

‎Sur les fonctions elliptiques p-adiques. Presentée par Élie Cartan.‎

‎(Paris, Gauthier-Villars), 1936. 4to. No wrappers. In: ""Comptes Rendus Hebdomadaires des Séances de L'Academie des Sciences"", Tome 203, No 1. Pp. (5-) 136 (entire issue offered). Weil's paper: pp. 22-24. Disbound and paper a bit fragile.‎

‎First printing of an importent paper on compact groups.""J. von Neumann an A. Weil, by different methods, obtained simultaneously the uniqueness in the case of of locally compact groups, A. Weil indicating at the same time how the procedure of Haar could be extended to general locally compact groups. It is also A. Weil (in the paper offered) who obtained the condition for the existence of a relatively invariant measure on a homogenous space, and showed finally that the existence of a ""measure"" (endowed with reasonable properties) on a separated topological group, implies ipse facto that the group is locally precompact.""(Bourbaki ""Elements of the istory of Mathematics"", p. 233).‎

‎Sur les fonctions algébriques à corps de constantes fini.‎

‎(Paris, Gauthier-Villars et Cie, 1940). 4to. Without wrappers. In: ""Comptes Rendus Hebdomadaires des Séances de L'Academie des Sciences"", Tome 210, No 17. Pp. (589-) 616. (Entire issue offered). Stamp on front page. Weil's paper: pp. 592-594.‎

‎First printing of Weil's importent paper in which he introduced the concept of Weil-pairing, giving a proof of the Riemann hypothesis for curves over finite fields.The Weil pairing is a pairing (bilinear form, though with multiplicative notation) on the points of order dividing n of an elliptic curve E, taking values in nth roots of unity. The Weil pairing is used in number theory and algebraic geometry, and has also been applied in elliptic curve cryptography and identity based encryption.""The Weil pairing, first introduced by André Weil in 1940, plays an important role in the theoretical study of the arithmetic of elliptic curves and Abelian varieties. It has also recently become extremely useful in cryptologic constructions related to those objects.""(Victor S. Miller).The Weil pairing is used in number theory and algebraic geometry, and has also been applied in elliptic curve cryptography and identity based encryption.‎

‎Sur les Espaces a Structure uniforme et sur la Topologie générale.‎

‎Paris, Hermann & Cie, Frontwrapper: 1937, Titlepage: 1938. Lex8vo. Uncut and unopened in orig. printed wrappers. Stamps on foot of titlepage. In the series ""Act. Sci. Industrielles 551, Paris, 1937"".‎

‎First edition of Weil's importent work on uniform topological spaces where he gives the first explicit definition of uniform structure""His most widely used innovation was in point set topology, namely the idea of uniform spaces. Such a space has no metric giving a distance between points, yet it makes sense to talk of different sequences ""converging at the same rate"" to different points. In particular there is a well-defined notion of uniform convergence of a series of functions from one uniform space to another."" (DSB).‎

‎LES MATHS ESPLIQUEES - COURS DE 2nde.‎

‎ELLIPSES. 1997. In-4. Broché. Etat d'usage, Couv. convenable, Dos satisfaisant, Intérieur frais. 255 pages illustrées de nombresues figures dans le texte - Nombreuses annotations au crayon a papier sur les pages de garde et de titre et quelques soulignements dans le texte.. . . . Classification Dewey : 372.7-Livre scolaire : mathématiques‎

‎ Classification Dewey : 372.7-Livre scolaire : mathématiques‎

‎MEMOBAC / MATHS - TERMINALE L - ENSEIGNEMENT DE SPECIALITE / PREPARATION A L'EXAMEN.‎

‎BORDAS. 2005. In-12. Broché. Bon état, Couv. convenable, Dos satisfaisant, Intérieur frais. 175 pages a spiralles illustrées de nombreuses figures dans le texte.. . . . Classification Dewey : 372.7-Livre scolaire : mathématiques‎

‎ Classification Dewey : 372.7-Livre scolaire : mathématiques‎

‎MATHEMATIQUES POUR PHYSICIENS / 2è ET 3e CYCLES AVEC RAPPELS DE 1er CYCLE.‎

‎ELLIPSES. 1991. In-4. Broché. Etat d'usage, Couv. légèrement passée, Dos satisfaisant, Intérieur frais. 351 pages - Qulques soulignements dans l e texte au stylo vert et crayon a papier.. . . . Classification Dewey : 510-Mathématiques‎

‎ Classification Dewey : 510-Mathématiques‎

‎Mathématiques pour physiciens.‎

‎ELLIPSES. 1991. In-8. Broché. Etat d'usage, Couv. légèrement passée, Dos satisfaisant, Intérieur frais. 351 pages.. . . . Classification Dewey : 510-Mathématiques‎

‎2è et 3è cycles, avec rappels du 1er cycle. Présentation de Jean Dieudonné. Classification Dewey : 510-Mathématiques‎

‎The Penguin Book of Curious and Interesting Mathematics‎

‎Penguin Book Malicorne sur Sarthe, 72, Pays de la Loire, France 1997 Book condition, Etat : Bon paperback, editor's white wrappers, illustrated by a photography In-8 1 vol. - 329 pages‎

‎few black and white text-figures Contents, Chapitres : Contents, Introduction, Acknowledgments, x, Text, 319 pages near fine copy, no markings‎

‎FORMULES MATHEMATIQUES‎

‎EDITIONS NOVOS SA LAUSANNE. NON DATE. In-12. Relié toilé. Très bon état, Couv. convenable, Dos satisfaisant, Intérieur frais. 97 pages.. . . . Classification Dewey : 510-Mathématiques‎

‎ Classification Dewey : 510-Mathématiques‎

‎Potential Theory‎

‎Springer-Verlag - Springer , Lecture Notes in Mathematics Malicorne sur Sarthe, 72, Pays de la Loire, France 1974 Book condition, Etat : Très Bon paperback grand In-8 1 vol. - 147 pages‎

‎ Contents, Chapitres : Contents, i, Text, 146 pages - Electrostatics - Poisson's equation - Fundamental solutions - Capacity - Energy - Existence of the equilibrium potential - Maximum principle for potentials - Uniqueness of the equilibrium potential - The Cone condition - Singularities of bounded harmonic functions - Green's function - Kelvin transform - Perron's method - Barriers - Kellogg's theorem - The Riesz decomposition theorem - Application of the Riesz decomposition fine copy‎

‎Eine konstruktiv-figürliche Begründung eines Abschnittes der zweiten Zahlklasse. Promotionsarbeit.‎

‎Zürich, Art. Institut Orell Füssli, 1961, in-8vo, 62 S., Original-Broschüre.‎

‎Anfangsgründe der Zahlenlehre.‎

‎Braunschweig, Viewg u. Sohn, 1902. Orig. full cloth. XII,428 pp., 2 portraits.‎

‎INTELLIGENCE ARTIFICIELLE - APPLICATION A L'ANALYSE DE PROGRAMMES / ETUDES ET RECHERCHES EN INFORMATIQUE‎

‎MASSON. 1984. In-8. Broché. Etat d'usage, Couv. convenable, Dos satisfaisant, Intérieur frais. 218 pages.. . . . Classification Dewey : 510-Mathématiques‎

‎ Classification Dewey : 510-Mathématiques‎

‎Om Directionens analytiske Betegning, et forsøg, anvendt fornemmelig til plane og sphæriske Polygoners Opløsning. - [THE FIRST SYSTEMATICAL THREATMENT OF COMPLEX NUMBERS]‎

‎Kiøbenhavn, Johan Rudolph Thiele, (1797) 1799. 4to. Recently bound in a nice pastiche-binding of brown half calf with five raised bands and gilt red leather title-label to elaborately gilt spine. Vellum corners and marbled paper over boards. Published in: ""Nye Samling af det Kongelige Danske Videnskabernes Selskabs Skrifter."" Vol. V. A very nice copy. Pp.469-518 + 3 folded engraved plates.‎

4 Images

‎First edition of this seminal publication in which Wessel presents the first systematical treatment of the theory of complex numbers and furthermore being the first work to add vectors in three-dimensional space.""Wessel’s fame as a mathematician is based entirely on one paper, written in Danish and published in the Mémoires of the Royal Danish Academy, that established his priority in publication of the geometric representation of complex numbers. John Wallis had given a geometric representation of the complex roots of quadratic equations in 1685"" Gauss had had the idea as early as 1799 but did not explicitly publish it until 1831. Robert Argand’s independent publication in 1806 must be credited as the source of this concept in modern mathematics because Wessel’s work remained essentially unknown until 1895, when its significance was pointed out by Christian Juel. The title of Wessel’s treatise calls it an ""attempt"" to give an analytic representation of both distance and direction that could be used to solve plane and spherical polygons. The connection of this goal with Wessel’s work as a surveyor and cartographer is obvious. The statement of the problem also suggests that Wessel should be credited with an early formulation of vector addition. In fact, Michael J. Crowe, in A History of Vector Analysis (University of Notre Dame Press, 1967), defines the first period in that history as that of a search for hypercomplex numbers to be used in space analysis and dates it from the time of Wessel, whom he calls the first to add vectors in three-dimensional space."" (DSB).‎

‎Om Directionens analytiske Betegning, et forsøg, anvendt fornemmelig til plane og sphæriske Polygoners Opløsning. (Essai sur la représentation analytique de la direction, avec des applications, en particular à la détermination des polygones plans et d...‎

‎Kiøbenhavn, Johan Rudolph Thiele, (1797) 1799. 4to. Uncut and unopened in original blue boards. Published in: ""Nye Samling af det Kongelige Danske Videnskabernes Selskabs Skrifter."" Vol. V. Wessel's paper: pp.469-518 and 3 folded engraved plates (the last plate inserted at p. 463). The whole volume V offered in its original binding. Engraved titlevignette. XII,670 pp., 15 engraved plates. 4 leaves with upper right corners gone, not affecting Wessel's paper.‎

7 Images

‎First edition of this important first systematical treatment of the theory of complex numbers and at the same time, the first work to add vectors in three-dimensional space.""Wessel’s fame as a mathematician is based entirely on one paper, written in Danish and published in the Mémoires of the Royal Danish Academy, that established his priority in publication of the geometric representation of complex numbers. John Wallis had given a geometric representation of the complex roots of quadratic equations in 1685"" Gauss had had the idea as early as 1799 but did not explicitly publish it until 1831. Robert Argand’s independent publication in 1806 must be credited as the source of this concept in modern mathematics because Wessel’s work remained essentially unknown until 1895, when its significance was pointed out by Christian Juel. The title of Wessel’s treatise calls it an ""attempt"" to give an analytic representation of both distance and direction that could be used to solve plane and spherical polygons. The connection of this goal with Wessel’s work as a surveyor and cartographer is obvious. The statement of the problem also suggests that Wessel should be credited with an early formulation of vector addition. In fact, Michael J. Crowe, in A History of Vector Analysis (University of Notre Dame Press, 1967), defines the first period in that history as that of a search for hypercomplex numbers to be used in space analysis and dates it from the time of Wessel, whom he calls the first to add vectors in three-dimensional space."" (DSB).‎

‎ON THE REPRESENTATION OF OPERATORS BY CONVOLUTION INTEGRALS‎

‎PACIFIC JOURNAL OF MATHEMATICS - VOL 10 N°4. 1960. In-8. Cartonnage d'éditeurs. Bon état, Livré sans Couverture, Dos satisfaisant, Intérieur frais. Paginé de 1453 à 1468. Ouvrage en anglais et photocopié.. . . . Classification Dewey : 510-Mathématiques‎

‎ Classification Dewey : 510-Mathématiques‎

‎Die Stufen des Unendlichen. Vortrag, gehalten am 27. Oktober bei der Eröffnung der Gästetagung der Mathematischen Gesellschaft an der Universität jena im Abbeanum.‎

‎Jena, Gustav Fischer, 1931. Orig. printed wrappers, uncut. (2),19,(1) pp. Clean and fine, excepts for a spot on p. 8 and 9.‎

‎First edition.‎

‎Mathematische Analyse des Raumproblems. Vorlesungen gehalten in Barcelona und Madrid. Mit 8 Abbildungen.‎

‎Berlin, Julius Springer, 1923. Orig. printed wrappers, uncut. Small nicks to backstrip. VII,117,(1) pp. Clean and fine.‎

‎First edition.‎

‎"Symétrie et mathématique moderne - Collection ""Champs"" n°366"‎

‎Flammarion. 2006. In-12. Broché. Bon état, Couv. convenable, Dos satisfaisant, Intérieur frais. 151 pages - nombreuses photos et illustrations en noir et blanc dans et hors texte.. . . . Classification Dewey : 510-Mathématiques‎

‎ Classification Dewey : 510-Mathématiques‎