‎Über die sogenannte Nicht-Euclidische Geometri. (Erster-) Zweiter Aufsatz. - [THE NON-EUCLIDEAN GEOMETRY OF KLEIN]‎

‎(Leipzig, B.F. Teubner, 1871 a. 1873). Without wrappers, (wrappers blank to Second Part) as published in ""Mathematische Annalen. Hrsg. von Felix Klein, Walter Dyck, Adolph Mayer."" Vol. IV, pp. 573-625 and vol. VI, pp. 112-145. Kept in a cloth-portfolio.‎

‎First edition. In these groundbreaking papers Klein established that if Euclidean geometry is consistent then non-Euclidean geometry is consistent as well and he introduces the adjectives ""parabolic"", ""elliptic"", and ""hyperbolic"" for the respective geometries of Georg Riemann, of Nicolai Lobachevsky, of C.F. Gauss and Janos Bolyai. ""Cayley's idea (that metrical geometry is part of projective geometry) was taken over by Felix Klein (1849-1925) and generalized so as to include the non-Euclidan geometries. Klein, a professor at Göttingen, was one of the lading mathematicians in Germany during the last part of the nineeeeteenth and first part of the twentieth century. During the years 1869-70 he larned the work of Lobatchevsky, Bolyai, von Staudt, and Cayley"" however, even in 1871he did not know Laguerre's result. It seemed to him to be posible to subsume the non-Euclidean geometries, hyperbolic, and double elliptic geometry, under projective geometry byexploiting Cayley's idea. He gave a sketch og his thoughts in a paper of 1871, and then developed them in two papers (1871 a. 1873, the ppers offered here). Klein was the first to obtain models of non-Euclidean geometries."" (Morris Kline). - Sommerville, Bibliography of Non-Euclidean Geometry p.45 (1871) and p. 49 (1873).‎

‎Über die Transformation der elliptischen Funktionen und die Auflösung der Gleichungen fünften Grades (+) Über die Transformation siebenter Ordnung der elliptischen Funktionen. - [FIRST MATHEMATICAL DESCRIPTION OF DESSIN D'ENFANT / DEDEKIND TESSELLATION]‎

‎Leipzig, B. G. Teubner, 1879. 8vo. Bound in recent full black cloth with gilt lettering to spine. In ""Mathematische Annalen"", Volume 14., 1879. 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. 111-172"" Pp. 428-471. [Entire volume: Pp. (4), 576].‎

‎First printing of Felix Klein's two hugely influential papers in which he for the first time presented the first recognizable modern ""dessins d'enfants"". Klein called these diagrams Linienzüge (German, plural of Linienzug ""line-track"", also used as a term for polygon).Dedekind did in 1877 publish a paper in which part of the mathematical background for the ""dessins d'enfants"" was present. It was, however, Klein that fully explored, both mathematical and visual, its potential. ‎

‎Über hyperelliptische Sigmafunktionen.‎

‎Leipzig, B.G. Teubner, 1886. 8vo. Bound in recent full black cloth with gilt lettering to spine. In ""Mathematische Annalen"", Volume 27., 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. Very fine and clean. Pp. 431-464 . [Entire volume: Pp. IV, 600.]‎

‎First printing of Klein's important work on hyperelliptic sigma functions.‎

‎PETIT VOYAGE DANS LE MONDE DES QUANTA‎

‎FLAMMARION. 2004. In-12. Broché. Bon état, Couv. convenable, Dos satisfaisant, Intérieur frais. 204 pages. . . . Classification Dewey : 510-Mathématiques‎

‎ Classification Dewey : 510-Mathématiques‎

‎Calculus: An Intuitive and Physical Approach‎

‎Dover Publications Inc 1998 in8. 1998. Broché.‎

6 Images

‎Bon état dos ridé intérieur propre ex-libris‎

‎Arithmétique pour calculateurs électroniques - les opérations dans les systèmes binaire,ternaire,octal,etc, dans les divers codes, le tout suivi d'exercices avec leurs solutions.‎

‎Chiron. 1963. In-8. Broché. Etat d'usage, Couv. légèrement passée, Dos satisfaisant, Intérieur acceptable. 176 pages - coins frottés.. . . . Classification Dewey : 372.7-Livre scolaire : mathématiques‎

‎ Classification Dewey : 372.7-Livre scolaire : mathématiques‎

‎Mais OUI vous comprenez la trigonométrie - 2e édition‎

‎Paul Legrain. 1963. In-8. Broché. Etat d'usage, Couv. légèrement passée, Dos plié, Intérieur acceptable. 230 pages - nombreux schémas en noir et blanc dans le texte. 2e plat légèrement plié.. . . . Classification Dewey : 510-Mathématiques‎

‎Dessins de R. Almeras. Classification Dewey : 510-Mathématiques‎

‎The Development of Logic.‎

‎Oxford, Clarendon Press, (1966). Orig. full cloth. VIII,762 pp. Clean and fine.‎

‎Mathematical Logic and the Foundations of Mathematics. An Introductory Survey.‎

‎London, D. van Nostrand, (1963). 8vo. Orig. full cloth. XIV,435 pp.‎

‎First edition.‎

‎Mathematical Logic and the Foundations of Mathematics. An Introductory Survey.‎

‎Ldn., N.Y., 1963. Orig. worn cloth. XIV, 435 pp.‎

‎Sur les maxima et les minima des intégrales doubles.‎

‎Berlin, Stockholm, Paris, Almqvist & Wiksell, 1892-3. 4to. As extracted from ""Acta Mathematica"", Vol, 16, 1892-3. No backstrip. A fine and clean copy. Pp. 65-140.‎

‎First printing of Kobb's paper in which he obtained the edge conditions for the double integral in parametric form.‎

‎Introduction to the Theory of Finite Automata. Translated from the Russian. Translation edited by J. C. Shepherdson.‎

‎Amsterdam, North-Holland Publ. Comp., 1965. 8vo. Orig. full cloth in orig. dust jacket. X,337 pp.‎

‎First English edition. Published in the series 'Studies in Logic and the Foundations of Mathematics', edited by L. E. J. Brouwer, A. Heyting, A. Robinson and P. Suppes.‎

‎Sur les déterminants infinis et les équations différentielles linéaires.‎

‎[Berlin, Stockholm, Paris, Beijer, 1892-93]. 4to. Without wrappers as extracted from ""Acta Mathematica. Hrdg. von G. Mittag-Leffler."", Bd. 16. Fine and clean. Pp. 217-295.‎

‎First printing of Koch's last paper relating to his doctoral thesis. Von Koch is known principally for his work in the theory of infinitely many linear equations and the study of the matrices derived from such infinite systems. He also did work in differential equations and in the theory of numbers. (DSB).‎

‎Sur une application des déterminants infinis à la théorie des équations différentielles linéaires (+) Sur les déterminants infinis et les équations différentielles linéaires.‎

‎[Berlin, Stockholm, Paris, Beijer, 1891 - 1892]. 4to. Without wrappers as extracted from ""Acta Mathematica. Hrdg. von G. Mittag-Leffler."", Bd. 15 and 16. Fine and clean. Pp. 53-63" Pp. 217-295.‎

‎First printing of Koch's two paper which together constitute his doctoral thesis. Von Koch is known principally for his work in the theory of infinitely many linear equations and the study of the matrices derived from such infinite systems. He also did work in differential equations and in the theory of numbers. (DSB).‎

‎EXERCICES DE GEOMETRIE ANALYTIQUE ET DE GEOMETRIE SUPERIEURE, A L'USAGE DES CANDIDATS AUX ECOLES POLYTECHNIQUE ET NORMALE ET A L'AGREGATION, QUESTIONS ET SOLUTIONS, 1re PARTIE‎

‎Gauthier-Villars, Paris. 1886. In-8. Relié demi-cuir. Bon état, Couv. convenable, Dos à nerfs, Intérieur acceptable. 347 pages. Auteur, titre, fleurons, roulettes et filets dorés sur le dos. Etiquette de code sur le dos. Tampon et annotation d'institution religieuse en page de titre. Dos frotté. Signature en page de garde.. . . . Classification Dewey : 372.7-Livre scolaire : mathématiques‎

‎Cercle et systèmes de cercles. Ellipse, hyperbole, parabole (équations réduites). Courbes d'ordre supérieur... Classification Dewey : 372.7-Livre scolaire : mathématiques‎

‎Exercices de géométrie analytique et de géométrie supérieure à l'usage des candidats aux écoles polytechnique et normale et à l'agrégation - Questions et solutions - Première partie‎

‎Gauthier-Villars. 1886. In-8. Relié demi-cuir. Etat d'usage, Coins frottés, Dos satisfaisant, Quelques rousseurs. Vi + 347 pages - nombreux schémas en noir et blanc dans le texte. Plats jaspés. Dos cuir à titre, auteur et filets dorés. Quelques épidermures sur le dos.. . . . Classification Dewey : 510-Mathématiques‎

‎ Classification Dewey : 510-Mathématiques‎

‎Symbolisme et nombre d'or - le rectangle de la genese et la pyramide de kheops - omnium litteraire‎

‎CHAMPS ELYSEES. mars 1957. In-8. Broché. Bon état, Couv. convenable, Dos satisfaisant, Quelques rousseurs. 224 pages + fascicule annexe (15 pages) de 48 figures. 2 photos disponibles.. . . . Classification Dewey : 510-Mathématiques‎

‎ Classification Dewey : 510-Mathématiques‎

‎De universali Principio aequilibrii & motus, in Vi viva reperto, deque nexu inter Vim Vivam & Sctionem, utriusque Minimo, Dissertatio. (+) ...continuata & finita. (2 Parts).‎

‎Leipzig, Gleditsch & Lanckis, 1751. 4to. No wrappers. In: ""Nova Acta Eruditorum, Anno MDCCLI"", March- Issue, Pars I-II. Entire issue in 2 parts offered. With titlepage to the volume 1751. Pp. 97-192. Koenig's paper: pp. 125-135 a. pp. 162-176. With 2 engraved plates. Titlepage with 2 stamps and a bit soiled. Leaves as usual a bit browned.‎

‎First printing of this important paper in which Koenig set forth his ""Law of least Action"". The law states that the kinetic energy of a system of mass points is equal to the sum of the kinetic energy of the motion of the system relative to the center of gravity and of the kinetic energy of the total mass of the system considered as a whole, which moves as the center of gravity of the system.""While still in Franeker, Koenig wrote the draft of his important essay on the principle of least action, which was directed against Maupertuis. The controversy touched off by this work, which was published in March 1751, resulted in perhaps the ugliest of all the famous scientific disputes. Its principal figures were Koenig, Maupertuis, Euler, Frederick II, and Voltaire" and, as is well known, it left an unseemly stain on Euler’s otherwise untarnished escutcheon. The quarrel occupied Koenig’s last years almost completely" moreover, he had been ill for several years before it started. Koenig emerged the moral victor from this affair, in which all the great scientists of Europe—except Maupertuis and Euler—were on his side. The later finding of Kabitz2 testifies to Koenig’s irreproachable character.""(DSB).‎

‎Leçons de l'agrégation classique de mathématiques -- EDITION ORIGINALE‎

‎P., Hermann, 1892, un volume in 4 relié en demi-basane marron (reliure de l'époque), (3), 208pp.‎

‎---- EDITION ORIGINALE ---- Leçons données par Koenigs à la faculté des sciences aux étudiants préparant le concours pour l'agrégation de mathématiques ---- - DSB VII p. 446**2926/N6AR‎

‎Logarithmisch-trigonometrisches Handbuch, welches der gemeinen oder briggischen logarithmen für alle Zahlen bis 108000 auf sieben decimalstellen,‎

‎Leipzig, Bernhard Tauchnitz 1873 xxxvi + 388pp.of tables, 26cm., hardcover (leather spine with gilt lettering), 12th stereotype edition, some foxing, G, W82162‎

‎Über die Summen durch den Zufall bestimmter unabhängiger Grössen.‎

‎Berlin, Springer, 1928. Royal8vo. Bound in recent blue/green full cloth with gilt lettering to spine. In ""Mathematische Annalen"", 99, 1928. A very nice and clean copy, near mint. Pp. 309-319. [Entire volume: IV, 751, (1) pp].‎

‎First printing Kolmogorav's famous paper in the convergence of sums of independent random variables.""Kolmogorov's publishing his celebrated three-series theorem (the present), which gives necessary and sufficient conditions for the convergence of sums of independent random variables, to his discovering necessary and sufficient conditions for the strong law of large numbers and to his proving the law of the iterated logarithm for sums of independent random variables. His 1931 paper, on continuous time Markov processes with continuous states, is widely regarded as having laid the foundations of modern diffusion theory. His 1949 work, Limit Distributions for Sums of Independent Random Variables, co-authored with B. V. Gnedenko, was for many years the standard source on the central limit theorem and surrounding topics."" (DSB)Andrey Nikolaevich Kolmogorov was a Soviet mathematician, preeminent in the 20th century, who advanced various scientific fields, among them probability theory, topology, intuitionistic logic, turbulence, classical mechanics and computational complexity.‎

‎Integral Equations.‎

‎Tokyo, Oxford, Clarendon Press, 1991. Orig. wrappers. XVI,440 pp.‎

‎Praxis der Konformen Abbildung. Mit 251 Abbildungen.‎

‎Berlin, Heidelberg, Göttingen, Springer-Verlag, 1959. Orig. full cloth. XIII,375 pp.‎

‎Méthode de calcul numérique - I. KORGANOFF (A.) Algèbre non linéaire - 2. KORGANOFF (A.) & PAVEL-PARVU (M.). Eléments de théorie des matrices carrées et rectangles en analyse numérique -- EDITION ORIGINALE -- 2 VOLUMES (COMPLETE SET)‎

‎P., Dunod, 1961-1967, 2 volumes in 8 reliés en pleine toile éditeur, jacquettes, T.1 : 375pp., T.2 : 441pp.‎

‎---- EDITION ORIGINALE**8461/o5de‎

‎Sur les formes quadratique positives. - [INTRODUCING THE PERFECT LATTICE]‎

‎Leipzig, B. G. Teubner, 1877. 8vo. Bound in recent full black cloth with gilt lettering to spine. In ""Mathematische Annalen"", Volume 11., 1877. 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. Title page missing a small piece of paper to the right margin, not affecting text. Very fine and clean. Pp. 242-292. [Entire volume: IV, 574, (2) pp.].‎

‎First printing of Korkine and Zolotareff's paper in which they for the very first time introduced the concept of Perfect lattice. ‎