Théorème

AYMES, Jean

sd Publication de l'A.P.M.E.P. (Association des Professeurs de Mathématiques et de l'Enseignement Public) - N° 70 - Sans date - In-8 broché, couverture illustrée - 100 pages - Illustrations et figures en N&B dans le texte

Bon état Bon

Librairie Le Père Pénard

Lyon, France

"BÉZOUT, (ÉTIENNE). - BÉZOUT'S THEOREM.

Paris, Ph.-D. Pierres, 1779. 4to. Nice recent vellum, titlelabel with gilt lettering on spine. (4),XXVIII,471 pp. Wide-margined, clean and fine.

First edition of Bezout's main work - a fundamental contribution to algebraic geometry - in which he prooved the so called ´Bezout's theorem. The theorem was essentially stated by Isaac Newton in his proof of lemma 28 of volume 1 of his Principia, where he claims that two curves have a number of intersection points given by the product of their degrees.Bézout's theorem is a statement in algebraic geometry concerning the number of common points, or intersection points, of two plane algebraic curves. The theorem claims that the number of common points of two such curves X and Y is equal to the product of their degrees. The work stimulated many investigations in the modern theory of elimination, including Cauchy’s refinements of elimination procedure and Sylvester’s work on resultants and inertia forms. Bezout’s theorem is crucial to the study of the intersection of manifolds in algebraic geometry.""It was not until 1779 that Bezout published his Théorie des équations algébriques, his major work on elimination theory. Its best-known achievement is the statement and proof of Bezout’s theorem: ""The degree of the final equation resulting from any number of complete equations in the same number of unknowns, and of any degrees, is equal to the product of the degrees of the equations."" Bezout, following Euler, defined a complete polynomial as one that contains each possible combination of the unknowns whose degree is no more than the degree of the polynomial. Bezout also computed that the degree of the resultant equation is less than the product of the degrees for various systems of incomplete equations. Here we shall consider only the complete case.The proof makes one marvel at the ingenuity of Bezout, who, like Euler, not only could manipulate formulas but also had the ability to choose those manipulations that would be fruitful. He was compelled to justify his nth-order results by a naive ""induction"" from the observed truth of the statements for 1, 2, 3 ···. Also, numbered subscripts had not yet come into use, and the notations available were clumsy.""(DSB).

Herman H. J. Lynge & Son

Copenhagen, Danemark

BOURGEOIS Colonel

École Polytechnique 1911 in-4° 246 pp autographiées et 10 pages dactylographiées à la fin , une page déchirée sans manque

Correct Demi-basane

Librairie Le Cosmographe

Clohars Fouesnant, France

CAMERON, Peter J.

1996 Cambridge University Press - 1996 - Reprint with corrections - In-8 broché, couverture illustrée - 355 pages - Texte en anglais

Bon état - Plis de lecture au dos - Légers frottements Bon

Librairie Le Père Pénard

Lyon, France

"CAUCHY, AUGUSTIN. - THE CLASSICAL ""SAMPLING THEOREM"" STATED.

(Paris, Bachelier), 1841. 4to. Without wrappers. In ""Comptes rendus hebdomadaires des séances de l’Académie des sciences"", Vol. XII, No 6. Pp. (267-) 316. (Entire issue offered). Cauchy's paper: pp. 283-298. Some scattered brownspots.

First printing of an importent paper in information theory - the paper stating the earliest version of what will later be known as the ""Nyquist Sampling Theorem"", describing how many and what kind of samples are needed to construct a curve.""The theorem will be formulated more completely in 1928 and become one of the cornerstones of information theory"" (Bryan Bunch, 1841 M).

Herman H. J. Lynge & Son

Copenhagen, Danemark

"CAYLEY, ARTHUR. - THE FOUR COLOUR THEOREM.

London, Edward Stanford, 1879. Without wrappers in ""Proceedings of the Royal Geographical Society and monthly Record of Geography"", April issue with titlepage to vol. 1, 1879. Pp.(2), 225-288 a. 2 folded maps. Cayley's paper: pp. 259-261

Fitrst appearance of Cayley's famous paper on the Four-Colour-Problem""The four-colour map problem (to prove that on any map only four colours are needed to separate countries) is celebrated in mathematics. It resisted the attempts of able mathematicians for over a century and when it was successfully proved in 1976 the ‘computer proof’ was controversial: it did not allow scrutiny in the conventional way. At the height of his influence in 1878, Arthur Cayley had drawn attention to the problem at a meeting of the London Mathematical Society and it was duly ‘announced’ in print. (the paper offered). He made a short contribution himself and he encouraged the young A. B. Kempe to publish a paper on the subject. Though ultimately unsuccessful, the work of Cayley and Kempe in the late 1870s brought valuable insights..... Francis Galton is revealed as the ‘go-between’ in suggesting Cayley publish his observations in Proceedings of the Royal Geographical Society."" (Tony Crilly).The Four-Colour-Theorem was proved in 1976 by Kenneth Appel and Wolfgang Haken. It was the first major mathematical theorem to be proved using a computer.

Herman H. J. Lynge & Son

Copenhagen, Danemark

CHANDRASEKHARAN, K.

1970 Springer-Verlag Berlin / Heidelberg / New York - Collection "Die Grundlehren der matematischenn Wissenschaften in Einzeldarstellungen" vol. 167 - 1970 - In-8, reliure pleine toile sous jaquette - XI-231 pages - Texte en anglais

Bon état - Menus frottements et petites déchirures à la jaquette - Intérieur frais Bon

Librairie Le Père Pénard

Lyon, France

CHANDRASEKHARAN, K.

1968 Springer-Verlag Berlin / Heidelberg / New York - Collection "Die Grundlehren der matematischenn Wissenschaften in Einzeldarstellungen" vol. 148 - 1968 - In-8, reliure pleine toile sous jaquette - VIII-140 pages - Texte en anglais

Bon état - Menus frottements et petites déchirures à la jaquette - Intérieur frais Bon

Librairie Le Père Pénard

Lyon, France

E. C. TITCHMARSH

1939 Oxford University Press - 1939 - In-8 broché - 454 pages

Assez bon état - Dos insolé avec des plis de lecture - Intérieur propre Assez bon

Librairie Le Père Pénard

Lyon, France

Edwards R. E

Springer 1979 969 pages 14 86x21 41x1 85cm. 1979. Broché. 2 volume(s). 969 pages.

Bon état couvertures un peu défraîchies ternies dos insolés intérieurs propres bonne tenue

ESTIENNE, J.E.

Paris, Berger-Levrault & Cie Editeurs, rue des Beaux-Arts, 5, sans date [1907], 1 volume in-8 de 225x145 mm environ, viii-301 pages, 1f. (table des matières), demi-reliure à coisn en veauu havane, signée Jaquet-Lyon, dos à nerfs portant titres dorés sur pièce de titre rouge, orné de petits fleurons dorés aux entrenerfs, cuir souligné d'un double filet doré sur les plats, gardes marbrées, tête dorée, couvertures conservées. Petits frottements, légères épidermures et quelques rousseurs sur le cuir, intérieur bon état.

Jean-Baptiste Eugène Estienne (1860-1936) Merci de nous contacter à l'avance si vous souhaitez consulter une référence au sein de notre librairie.

Librairie Diogène

Lyon, France

"EULER, LEONHARD. - THE EULER-FERMAT THEOREM PROVED.

(Petropoli (St. Petersbourg), 1750). 4to. Uncut, without wrappers. Extracted from ""Novi Commentarii Academiae Scientiarum Imperialis Petropolitanae"", Tom. I. ad Annum 1747 et 1748. Pp. 3-19 a. 1 engraved plate., and pp. 20-48.

First printing of both papers. The second is important as it contains Euler'is second proof of the Euler-Fermat theorem, which Euler presents as a consequence of the theorem that (a+b)p = ap+bp (mod p). This paper also includes results about possible divisors of a2n + b2n, and Euler uses this to show again that F5 is not prime. - Enestroem No. 133 a. 134.

Herman H. J. Lynge & Son

Copenhagen, Danemark

"EULER, LEONHARD. - THE FUNDAMENTAL THEOREM OF ALGEBRA.

(Berlin, Haude et Spener, 1770). 4to. No wrappers, as issued in ""Mémoires de l'Academie Royale des Sciences et Belles-Lettres"", Tome V, pp. 203-221, 1 plate and pp. 222-288, 1 engraved plate.

Both papers first edition. The first paper is Euler's discussion of ""Cramers Paradox"" and it contains his inventions of 2 kinds of curves, ""Cusps of first kind"" or keratoid cusp and ""Cups of second kind"" or ramphoid cusp. - Enestroem E 169.The second paper contains Euler's famous proof of ""The fundamental Theorem of Algebra"". - Enestroem E 170.

Herman H. J. Lynge & Son

Copenhagen, Danemark

"FEJÉR, LÉOPOLD - THE ""FUNDAMENTAL SUMMATION THEOREM"" DISCOVERED.

(Paris, Gauthier-Villars), 1900. 4to. No wrappers. In: ""Comptes Rendus Hebdomadaires des Séances de L'Academie des Sciences"", Tome 131, No 24. Pp. (975-) 1017. (Entire issue offered). Fejér's (here spelled Téjer !) paper: pp. 984-987. Clean and fine.

First printing of this importent paper in which Féjer states the ""Summation Theorem"" that bears his name.""Fejér’s main works deal with harmonic analysis. His classic theorem on (C, 1) summability of trigonometric Fourier series (1900) not only gave a new direction to the theory of orthogonal expansions but also, through significant applications, became a starting point for the modern general theory of divergent series and singular integrals. Through a Tauberian theorem of G. H. Hardy’s the convergence theory of Fourier series was considerably affected by Fejér’s theorem as well"" it is closely connected with Weierstrass’ approximation theorems and with the more advanced theory of power series and harmonics (potential theory), and makes possible a number of analogues for related series, such as Laplace series.""(DSB).

Herman H. J. Lynge & Son

Copenhagen, Danemark

GERGONNE (J.D.)

Nîmes, imp. P. Blachier-Belle, 1819-1820. In-4, 395 pp., demi-basane aubergine, dos lisse orné de caissons dorés, étiquette de la bibliothèque du lycée Henri IV, tranches mouchetées (insolation, épidermures, quelques petites taches et rousseurs).

Édition originale du 10e tome des Annales dite de Gergonne, premier grand périodique dédié aux mathématiques. Il contient des mémoires de Bérard, Gergonne, Sarrus, Vecten, Francoeur... sur des problèmes d'analyse algébrique, d'arithmétique politique, de géométrie, optique ou encore de philosophie mathématique. Cachet de la bibliothèque du lycée Henri IV au titre. Voir photographie(s) / See picture(s) * Membre du SLAM et de la LILA / ILAB Member. La librairie est ouverte du lundi au vendredi de 14h à 19h. Merci de nous prévenir avant de passer,certains de nos livres étant entreposés dans une réserve.

GERGONNE (J.D.)

Nîmes, imp. P. Durand-Belle, 1813-1814. In-4, 392 pp. 6 pl., demi-basane aubergine, dos lisse orné de caissons dorés, étiquette de la bibliothèque du lycée Henri IV, tranches mouchetées (insolation, épidermures, quelques petites taches et rousseurs).

Édition originale du 4e tome des Annales dite de Gergonne, premier grand périodique dédié aux mathématiques. Il contient des mémoires de Laplace, Gergonne, Kramp, Barrois... sur des problèmes d'algèbre et d'analyse élémentaire, d'astronomie, de géométrie, optique ou encore de trigonométrie. Cachet de la bibliothèque du lycée Henri IV au titre. Voir photographie(s) / See picture(s) * Membre du SLAM et de la LILA / ILAB Member. La librairie est ouverte du lundi au vendredi de 14h à 19h. Merci de nous prévenir avant de passer,certains de nos livres étant entreposés dans une réserve.

GERGONNE (J.D.)

Nîmes, imp. P. Blachier-Belle, 1812-1813. In-4, 392 pp. 3 pl., demi-basane aubergine, dos lisse orné de caissons dorés, étiquette de la bibliothèque du lycée Henri IV, tranches mouchetées (insolation, épidermures, quelques petites taches et rousseurs).

Édition originale du 3e tome des Annales dite de Gergonne, premier grand périodique dédié aux mathématiques. Il contient des mémoires de Wronski, Gergonne, Kramp, Serres... sur des problèmes d'analyse élémentaire, indéterminée ou transcendante, de gnomonique, de géométrie, optique ou encore de trigonométrie. Cachet de la bibliothèque du lycée Henri IV au titre. Voir photographie(s) / See picture(s) * Membre du SLAM et de la LILA / ILAB Member. La librairie est ouverte du lundi au vendredi de 14h à 19h. Merci de nous prévenir avant de passer,certains de nos livres étant entreposés dans une réserve.

GERGONNE (J.D.)

Nîmes, imp. P. Blachier-Belle, 1814-1815. In-4, 390 pp. 2 pl., demi-basane aubergine, dos lisse orné de caissons dorés, étiquette de la bibliothèque du lycée Henri IV, tranches mouchetées (insolation, épidermures, quelques petites taches et rousseurs).

Édition originale du 5e tome des Annales dite de Gergonne, premier grand périodique dédié aux mathématiques. Il contient des mémoires d'Argand, Gergonne, Kramp, Dupin... sur des problèmes d'analyse élémentaireou transcendante, d'astronomie, de géométrie, d'hydrostatique ou encore de philosophie mathématique. Cachet de la bibliothèque du lycée Henri IV au titre. Voir photographie(s) / See picture(s) * Membre du SLAM et de la LILA / ILAB Member. La librairie est ouverte du lundi au vendredi de 14h à 19h. Merci de nous prévenir avant de passer,certains de nos livres étant entreposés dans une réserve.

GREVY, A. - CHARRUIT, N.

1891 A Paris, Gauthier-Villars et fils, Imprimeurs-Libraire / Librairie Nony et Cie - 1890 et 1891 - In-8, demi basane verte; titres, auteurs et filets dorés au dos - 165 pages + 22 planches - Ouvrage composite (deux ouvrages reliés en un seul volume)

Bon état - Dos insolé - Menus frottements sur les plats et le dos

Librairie Le Père Pénard

Lyon, France

GUINOT, Marc

1997 - broché - Editions Aléas - 1997 - In-8 (21 x 15 cm) broché - 380 pages - ISBN : 2-908016-93-1 - Ouvrage intitulé : "Arithmétique pour amateurs. Livre V. Gauss, princeps mathermaticorum"

Bon état

Les Voraces

Lyon, France

HERMITE, CHARLES. - HERMITE'S THEOREM.

Paris: Gauthier-Villars, 1873. 4to. (282x225mm). Entire volume (1628 pp.) offered here in original blank wrappers, unopened. An exceptionally fine copy. 4 parts

First edition of Hermite's epoch-making memoir in which he proved the transcendence of e, and thus initiated a new era in number theory. A decade later Lindemann used the method of Hermite's work to establish the transcendence of pi.

Herman H. J. Lynge & Son

Copenhagen, Danemark

"HERMITE, CHARLES. - HERMITE'S THEOREM PROOVING THE TRANSCENDALITY OF e.

Paris: Gauthier-Villars, 1873. 4to. No wrappers. In: ""Comptes Rendus Hebdomadaires des Seances de l'Academie des Sciences"", Vol 77, Nos 1, 2, 4 a. 5 (4 entire issues offered). Hermite's paper: pp.18-24" 74-79 226-233" 285-293). With halftitle and titlepage to vol. 77.

First apperance of Hermite's epoch-making memoir in which he proved the transcendence of e, and thus initiated a new era in number theory. A decade later Lindemann used the method of Hermite's work to establish the transcendence of pi. Parkinson ""Breakthroughs"" 1873 M.

Herman H. J. Lynge & Son

Copenhagen, Danemark

HOFSTADTER, Douglas - HENRY, Jacqueline et FRENCH, Robert (Version française de)

1993 InterEditions, publié avec le concours du Centre National des Lettres - 1993 - Fort in-8 relié, pleine toile titrée en doré au dos, sous jaquette illustrée - 884 page - Illustrations en N&B, in et hors texte, dans l'ouvrage

Bon état - Quelques annotations et passages soulignés au crayon de papier - Tâches et légers frottements sur la reliure et les tranches - Jaquette avec frottements, plis et petites déchirures sans manque Bon

Librairie Le Père Pénard

Lyon, France

"IVORY, JAMES. - THE INTRODUCTION OF IVORY'S THEOREM.

(London, W. Bulmer and Co., 1809). 4to. No wrappers as extracted from ""Philosophical Transactions"" 1809 - Part II. Pp. 345-372. Clean and fine.

First printing this importent paper in which Ivory introduces his well-known theorem which bears his name. It states that the attraction of an ellipsoid upon a point exterior to it is dependent upon the attraction of another ellipsoid upon a point interior to it.""In 1809 J. Ivory proved the three-dimensional version of this theorem by straightforward calculation and by using an appropriate parametrization. This theorem holds in the n-dimensional Euclidean space (n > 1). It has been shown that it is also true in the pseudo-Euclidean plane (Minkowski)"" (H. Stachel).""Ivory's scientific reputation, for which he was awarded many honours during his lifetime, including knighthood of the Order of the Guelphs, Civil Division (1831), was founded on the ability to understand and comment the work of the French analysts rather than any great originality of his own...Ivory's work, conducted with great industry over a long period, helped to foster in England a new interest in the application of analysis to physical problems."" (DSB VII. p. 37).

Herman H. J. Lynge & Son

Copenhagen, Danemark

"JACOBI, C.G.J. - COINING THE WORD ""ABEL'S THEOREM""

Berlin, G. Reimer, 1832. 4to. Without wrappers. Extracted from ""Journal für die reine und angewandte Mathematik. Hrsg. von A.L. Crelle"", 9. Bd. pp. 99-104.

First printing.

Herman H. J. Lynge & Son

Copenhagen, Danemark