‎Théorème‎

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

‎Théorie Générale des Équations algebraiques.‎

‎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).‎

書籍販売業者の参照番号 : 46989

‎"CAYLEY, ARTHUR. - THE CAYLEY-HAMILTON THEOREM ANNOUNCED - THE MATHEMATICS OF QUANTUM MECHANICS.‎

‎A Memoir on the Theory of Matrices. Received December 10, 1857, - Read January 14, 1858. (+) A Supplementary Memoir on the Theory of Matrices. Received October 24, - Read December 7, 1865.‎

‎(London, Richard Taylor and William Francis, 1858 and Taylor and Francis, 1866. 4to. No wrappers as extracted from ""Philosophical Transactions"" Vol. 148 - Part I. Pp. 17-37, and Vol. 156 - Part I, Pp. 25-35. Clean and fine.‎

‎First appearance of this outstanding contribution to mathematics, announcing his invention and developments of the ALGEBRA OF MATRICES, what is now called the Cayley-Hamilton theorem for square matrices of any order. ""The subject originated in a memoir of 1858 (the paper offered) and grew directly out of simple observations on the way in which the transformations (linear) of the theory of algebraic invariants are combined...a distinctive feature of these rules is that multiplication is not commutative...we get different results according to the order in which we do the multiplication... (it) seems about as far from anything of scientific or practical use as anything could possible be. Yet sixty seven years after Cayley's invented it, HEISENBERG in 1925 recognized in the algebra of matrices exactly the tool which he neede for his revolutionary work in QUANTUM MECHANICS.""(Bell, Men of Mathematics).""It was in connection with the study of invariants under linear transformation that Cayley first introduced matrices to simplify the notation involved. Here he gave some basic notions. This was followed by his first major paper on the subject ""A Memoir on the Theory of Matrices."", the paper offered here. (Kline, Mathematical Thought...p. 806).‎

書籍販売業者の参照番号 : 42295

‎"D'ALEMBERT, JEAN LE ROND. - D'ALEMBERT'S THEOREM - THE FUNDAMENTAL THEOREM OF ALGEBRA.‎

‎Recherches sur le Calcul Intégral. Premier - (Seconde) Partie. (+) Suite des Recherches sur le Calcul Intégral. (= Troisieme Partie). (+) Additons aux Recherches sur le Calcul Integral. (+) Errata pour les Mémoires, imprimés dans les Volumes de 1746, ...‎

‎Berlin, Haude et Spener, 1848-52. 4to. No wrappers as extracted from ""Mémoires de l'Academie Royale des Sciences et Belles-Lettres"", tome II (1846), tome IV, tome VI a. tome VI. Pp. 182-224, pp. 249-291, pp. (361-) 378, pp. 413-416 and 1 folded engraved plate.‎

‎First apperance of d'Alembert's 3 importent papers on the Calculus of Integration, a branch of mathematical science which is greatly indepted to him. He here gives the proof of THE FUNDAMENTAL THEOREM OF ALGEBRA, called d'Alembert's theorem, and later corrected by Gauss (1799).The theorem is based on these three assumptions:Every polynomial with real coefficients which is of odd order has a real root. (This is a corollary of the intermediate value theorem. Every second order polynomial with complex coefficients has two complex roots. For every polynomial p with real coefficients, there exists a field E in which the polynomial may be factored into linear terms.Also with an importent paper by Leonhard Euler ""Mémoire sur l'Effet de la Propagation successive de la Lumiere dans l'Apparition tant des Planetes que des Cometes"" (Memoir on the effect of the successive propogation of light in the appeareance of both comets and planets). Pp. 141-181 and 2 folded engraved plates. - The paper is founded on Euler's theory of light as waves and not as particles. It is from the same year as his fundamental work on light as waves: ""Nova Theoria"" - Enestroem E 104.‎

書籍販売業者の参照番号 : 46603

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

‎Sur le Point de Rebroussement de la seconde Espece de mr. le Marquis de l'Hopital. (On the nispidal points of the second kind of Mons. le Marquis de l'Hopital). (+) Recherches sur les Racines Imaginaires des Equations. (Research on imaginary roots o...‎

‎(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.‎

書籍販売業者の参照番号 : 41596

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

‎Sur la fonction exponentielle. (+) Suite... (+) Sur la fonction exponentielle. (+) (Suite). 4 Parts (all).‎

‎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.‎

書籍販売業者の参照番号 : 47891

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

‎De theoremate Abeliano observatio.‎

‎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.‎

書籍販売業者の参照番号 : 41657

‎"LAMÉ, GABRIEL. - PROVING FERMAT'S LAST THEOREM FOR n=7.‎

‎Mémoire sur la dernier théoreme de Fermat.‎

‎(Paris, Bachelier), 1839. 4to. No wrappers. Extracted from ""Comptes Rendus Hebdomadaires des Séances de L'Academie des Sciences"", Tome IX. Pp. 45-46.‎

‎First printing of an importent paper in mathematics in which Lamé proves that Fermat's last theorem is true for n=7, hereby bringing the known proved cases to n= 3, 4, 5, and 7. ( x7 + y7 = z7).‎

書籍販売業者の参照番号 : 51110

‎"RIESZ, FRIGYES & ERNST FISCHER. - THE ""FISCHER-RIESZ THEOREM""‎

‎Sur les systémes orthogonaux de fonctions. (Reisz) + Sur la convergence en moyenne. (Fischer). + Applications d'un théoreme sur la convergence en moyenne. (Fischer).‎

‎(Paris, Gauthier-Villars), 1907. 4to. No wrappers. In: ""Comptes Rendus Hebdomadaires des Séances de L'Academie des Sciences"", Tome 144, No 11, No. 19 and No. 21. Pp. (593-) 664 + pp. (1009-) 1080. + pp. (1137-) 1192.(3 entire issues offered).Reesz' paper: pp. 615-619. Fischer's paper: pp. 1022-1024 a. 1148-51. Nos 19 a. 21 with some small tears to outher margins. paper fragile. Sewing loose.‎

‎First apperance of two fundamental papers - Riesz setting forth the theorem and Fischer proving it - the mathematics of which later made it clear that there is an equivalence between matrix mechanics (Heisenberg) and wave mechanics (Schrödinger) in quantum physics.The Riesz-Fischer theorem of 1907, concerning the equivalence of the Hilbert space of sequences of convergent sums of squares with the space of functions of summable squares, formed the mathematical basis for demonstrating the equivalence of matrix mechanics and wave mechanics.‎

書籍販売業者の参照番号 : 48911

‎ABEL NIELS HENRIK. "A MONUMENT MORE LASTING THAN BRONCE" LEGENDRE. ABEL'S THEOREM‎

‎M�moire sur une propri�t� g�n�rale d'une classe tr�s-�tendue de fonctions transcendantes.‎

‎Paris Acad�mie des Sciences 1841 submitted 1826. 4to. 257x197mm. Extract from: 'M�m. Acad. d. Sciences de Paris' 1841 pp.176-264. Contemporary half calf with gilt spine lettering. Spine with a little wear. Some light brown spotting throughout. Otherwise fine and clean. � Very scarce first edition of Abel's main paper in which he first presented his theorem for elliptic integrals - Abel's theorem. "After studying at Christiania and Copenhagen Abel received a scholarship that permitted him to travel. In Paris he was presented to Legendre Laplace Cauchy and Lacroix but they ignored him. . Abel knew the work of Euler Lagrange and Legendre on elliptic integrals and may have gotten suggestions for the work he undertook from remarks made by Gauss especially in his 'Disquisitiones Arithmeticae'. He himself started to write papers in 1825. He presented his major paper on integrals to the Academy of Sciences in Paris on October 30 1926 for publication in its journal. This paper the offered item contained Abel's great theorem. Fourier the secretary of the Academy at the time read the introduction to the paper and then referred the paper to Legendre and Cauchy for evaluation the latter being chiefly responsible. The paper was long and difficult only because it contained many new ideas. Cauchy laid it aside to favor his own work. Legendre forgot about it. After Abel's death when his fame was established the Academy searched for the paper found it and published it in 1841. . Because Abel's main paper of 1826 was not published until 1841 other authors learning the more limited theorems published in between these dates obtained independently many of Abel's 1826 results." Kline: Mathematical Thought from Ancient to Modern Times pp.644-55. Sotheran: Bibliotheca Chemico-Mathematics Third Supplement describes this paper as "very scarce". unknown‎

書籍販売業者の参照番号 : 35935

‎ALSINA, C.‎

‎La Secte des nombres : Le théorème de Pythagore.‎

‎RBA Coleccionables ("Le Monde est Mathématique"), 2011. in-8, 151 pages, illustrations en noir, cartonnage illustré.‎

‎Tres bel exemplaire. [AR-2]‎

書籍販売業者の参照番号 : 74866

‎Appell, Paul - Goursat, Édouard‎

‎Théorie des fonctions algébriques et de leurs intégrales. Étude des fonctions analytiques sur une surface de Riemann‎

‎Mm 165x255 Volume nella sua brossura originale, (12)-x-530 pagine molte delle quali ancora intonse. Piccole abrasioni alla testa e al piede del dorso, peraltro il libro è in buone-ottime condizioni nelle sue legature ben salde. Spedizione in 24 ore dalla conferma dell'ordine.‎

‎BACHARACH I. THE CAYLEY BACHARACH THEOREM‎

‎Ueber den Cayley'schen Schnittpunktsatz.‎

‎Leipzig B. G. Teubner 1886. 8vo. Bound in recent full black cloth with gilt lettering to spine. In "Mathematische Annalen" Volume 26. 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. With a marginal tear affecting pp. 275-282 and 2 cm of the text otherwise very fine and clean. Pp. 275-299. Entire volume: IV 606 pp. � First printing of Bacharach's paper which gave the final solution to what later was to be known as the Cayley-Bacharach Theorem: That when a plane curve of degree r is drawn through the mn points common to two curves of degrees m and n both less than r these do not count for mn conditions in the determination of the curve but for mn reduced by m n - r - 1 m n - r - 2.<br><br>"Cayley wrote copiously on analytical geometry touching on almost every topic then under discussion. Although as explained elsewhere he never wrote a textbook on the subject substantial parts of Salmon�s Higher Plane Curves are due to him; and without his work many texts of the period such as those by Clebsch and Frost would have been considerably reduced in size. One of Cayley�s earliest papers contains evidence of his great talent for the analytical geometry of curves and surfaces in the form of what was often known as Cayley�s intersection theorem C. M. P. I no. 5 1843 25-27. There Cayley gave an almost complete proof to be supplemented by Bacharach in Mathematische Annalen 26 1886 275-299" DSB. hardcover‎

書籍販売業者の参照番号 : 47134

‎BELIZAL, A. de - MOREL, P. A.‎

‎Physique Micro-Vibratoire et Forces Invisibles‎

‎1965 Editions Desforges - 1965 - In-8, broché - 215 pages‎

‎Bon état - Frottements sur la couverture - Quelques passages soulignés au crayon et annotations au crayon dans les marges‎

書籍販売業者の参照番号 : 79139

‎Berzolari L. - Vivanti G. - Gigli D. ( a Cura di )‎

‎Enciclopedia Delle Matematiche Elementari e Complementi Con Estensione Alle Principali Teorie Analitiche Geometriche e Fisiche. Loro Applicazioni e Notizie Storico-Bibliografiche. Vol. II°, Parte II°‎

‎Mm 175x245 Ristampa anastatica su quella originale del 1929. Brossura originale a stampa, xi-573 pp. Timbri di biblioteca privata dismessa in alcune pagine, tracce di nastro adesivo alla prima ed ultima carta, peraltro il libro è in buone-ottime condizioni. Spedizione in 24 ore dalla conferma dell'ordine.‎

‎BEZOUT ETIENNE. BEZOUT'S THEOREM.‎

‎Th�orie G�n�rale des �quations algebraiques.‎

‎Paris Ph.-D. Pierres 1779. 4to. Nice recent vellum titlelabel with gilt lettering on spine. 4XXVIII471 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.<br><br>B�zout'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.<br><br><br>"It was not until 1779 that Bezout published his Th�orie des �quations alg�briques 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.<br><br>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. hardcover‎

書籍販売業者の参照番号 : 46989

‎BORN M. + V. A. FOCK. ADIABATIC THEOREM‎

‎Beweis des Adiabatensatzes.‎

‎Berlin Springer 1928. 8vo. Bound in contemporary half cloth with gilt lettering In "Zeitschrift f�r Physik" Band 51 1928. Entire issue offered. Two stamps to title page otherwise fine. Pp. 165-80. Entire volume: VII 1 903 pp. � First appearance of Born and Fock's important paper in which they introduced their adiabatic theorem a concept in quantum mechanics which they stated as follows: " A physical system remains in its instantaneous eigenstate if a given perturbation is acting on it slowly enough and if there is a gap between the eigenvalue and the rest of the Hamiltonian's spectrum." From the present paper. <br>The concept of this theorem deals with the time-dependent Hamiltonian - a subject of Quantum dynamics - where the Hamiltonian changes with time.<br><br>The present issue also contain Gamow's "Zur Quantentheorie des Atomkernes" containing the first direct calculation of the Geiger-Nuttall law. hardcover‎

書籍販売業者の参照番号 : 49088

‎Budan Ferdinand‎

‎Nouvelle méthode pour la résolution des équations numériques d'un degré quelconque; D'apres laquelle tout le calcul exigé pour cette Résolution se réduit à l'emploi des duex premièrs règles de l'Arithmétique.‎

‎In 4°; (10 inclusa errata), 86 pp. Legatura coeva in mezza-pelle con titolo e fregi in oro al dorso. Piatti foderati con carta marmorizzata coeva (qualche lieve segno del tempo alla legatura). All'interno esemplare in ottime condizioni di conservazione. Prima non comune edizione di questa importante opera matematica del celebre matematico francese, Ferdinand François Désiré Budan de Boislaurent (28 settembre 1761 - 6 ottobre 1840) che divenne famoso proprio grazie al trattato qui presentato. Iniziato a studiare a Juilly, proseguì poi a Parigi, dove si iscrisse a medicina, ottenendo il dottorato con una tesi su una questione di “Economia medica” dove sosteneva la necessità di informare in modo corretto un paziente sulla sua situazione medica. Raggiunse la celebrità quando nel 1807 pubblicò il suo “Nouvelle Methode” nel quale alla stregua di Fourier ma in modo diverso e prima di questi (il lavoro Budan lo aveva già compiuto e finito nel 1803, spiega “given a monic polynomial p(x), the coefficients of p(x+1) can be obtained by developing a Pascal-like triangle with first row the coefficients of p(x), rather than by expanding successive powers of x+1, as in Pascal's triangle proper, and then summing”. Questa regola è ancora nota come il Teorema di Budan ed è un teorema di delimitazione il numero di radici reali di un polinomio in un intervallo e calcolando la parità di questo numero. Il lavoro di Budan fu ripreso, tra gli altri, da Pierre Louis Marie Bourdon (1779-1854), nel suo celebre libro di algebra, ma con il tempo , venne eclissato dal Teorema di Fourier che garantiva un risultato equivalente. Il Teorema di Budan è però stato fortemente recuperato a partire dalla fine del XIX° secolo quando ci si accorse che alcuni risultati computazionali erano più facilmente deducibili da esso che dalla versione offerta da Fourier. In particolare, furono Collins e Akritas nel 1976 a recuperarlo, per la fornitura, in computer algebra, di un algoritmo efficiente per l'isolamento di radici nei computer. All'uscita dell'opera, la fama di Boudan, iniziò ad aumentare esponenzialmente anche oltre Manica, tanto da venir citato da numerosi importanti matematici e studiosi come ad esempio Peter Barlow o Horner. Barlow lo nominò alla voce “Approssimazione” nel suo Dizionario del 1814, sebbene, erroneamente lo affiancasse al metodo di Joseph-Louis Lagrange, definendolo come accurato ma più di interesse teorico che pratico. Horner descrivendo il lavoro di Budan sull'Approsimazione nel suo celebre articolo sulle Transazioni filosofiche presentato alla Royal Society di Londra nel 1819, articolo che diede origine al termine metodo di Horner, commentò in modo scettico i risultati di Budan ma in articoli seguenti, cambiò completamente opinione, riconoscendone il valore intrinseco. Il lavoro di Budan sembra anticipare anche quello di Paolo Ruffini del 1804. Si legge in D. S. B., II, 573 : :"Budan is known in the theory of equations as one of the independent discoverers of the rule of Budan and Fourier, which gives necessary conditions for a polynomial equation to have n real roots between two given real numbers. He announced his discovery of the rule and described its use (...) and published the paper with explanatory notes, as 'Nouvelle méthode pour la résolution des équations numériques', in 1807. (...) The need for such a rule as his was suggested to Budan by Lagrange's 'Traite de la resolution des equations numeriques' (1767). (. . .) Budan's goal was to solve Lagrange's problem - between which real numbers do real roots lie? - purely by means of elementary arithmetic. Accordingly, the chief concern of Budan's 'Nouvelle méthode' was to give the reader a mechanical process for calculating the coefficients of the transformed equation in (x - p). He did not appeal to the theory of finite differences or to the calculus for these coefficients, preferring to give them 'by means of simple additions and subtractions.' (...) Budan's rule remains the most convenient for computation". Proprio grazie agli sviluppi tecnologici della fine del novecento ed essendo usato in moderni algoritmi veloci per isolare le radici reali di polinomi, l'opera qui presentata è diventata, oggi, un classico della matematica ed è qui presentata in prima edizione, in legatura coeva ed in buone-ottime condizioni di conservazione. Non comune. First edition, good copy. Rif. Bibl.: D.S.B.,II,573.‎

‎CARMICHAEL Robert D.‎

‎Analyse Indeterminée. Triangles Rationnels - Equations du Second Degré. Equations des 3ème et 4ème degrés et d'un degré Supérieur au 4ème. Dernier Théorème de Fermat. Equations Fonctionnelles.‎

‎Paris. PUF. 1929. In-8. Br. 126 p.TBE.‎

書籍販売業者の参照番号 : 35560

‎Cassels, J.W.S‎

‎An Introduction to the Geometry of Numbers‎

‎Berlin, Springer (Classics in Mathematics), 1997. VII, 344 S. (23,5 cm) Broschierte Ausgabe‎

‎Reprint of the 1971 Edition; Second Printing, corrected; Sehr guter Zustand.‎

書籍販売業者の参照番号 : 60321

‎CAYLEY ARTHUR. THE CAYLEY HAMILTON THEOREM ANNOUNCED THE MATHEMATICS OF QUANTUM MECHANICS.‎

‎A Memoir on the Theory of Matrices. Received December 10 1857 - Read January 14 1858. A Supplementary Memoir on the Theory of Matrices. Received October 24 - Read December 7 1865.‎

‎London Richard Taylor and William Francis 1858 and Taylor and Francis 1866. 4to. No wrappers as extracted from "Philosophical Transactions" Vol. 148 - Part I. Pp. 17-37 and Vol. 156 - Part I Pp. 25-35. Clean and fine. � First appearance of this outstanding contribution to mathematics announcing his invention and developments of the ALGEBRA OF MATRICES what is now called the Cayley-Hamilton theorem for square matrices of any order. "The subject originated in a memoir of 1858 the paper offered and grew directly out of simple observations on the way in which the transformations linear of the theory of algebraic invariants are combined.a distinctive feature of these rules is that multiplication is not commutative.we get different results according to the order in which we do the multiplication. it seems about as far from anything of scientific or practical use as anything could possible be. Yet sixty seven years after Cayley's invented it HEISENBERG in 1925 recognized in the algebra of matrices exactly the tool which he neede for his revolutionary work in QUANTUM MECHANICS."Bell Men of Mathematics.<br><br>"It was in connection with the study of invariants under linear transformation that Cayley first introduced matrices to simplify the notation involved. Here he gave some basic notions. This was followed by his first major paper on the subject "A Memoir on the Theory of Matrices." the paper offered here. Kline Mathematical Thought.p. 806. unknown‎

書籍販売業者の参照番号 : 42295

‎CAYLEY ARTHUR. THE FOUR COLOUR THEOREM.‎

‎On the Colouring of Maps.‎

‎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<br>"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.<br>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. unknown‎

書籍販売業者の参照番号 : 41917

‎CORI/LASCAR‎

‎Logique Mathématique 2 vols.‎

‎Dunod.2003.2 vols.in-8,couv.souples illustrées.1: Calcul propositionnel algèbre de Boole,calcul des prédicats.385 p. 2: Fonctions récursives,théorème de Godel, théorie des ensembles,théorie des modèles.347 p.TBE.‎

書籍販売業者の参照番号 : 47123

‎CUNY Georges‎

‎Un Théorème de Géométrie et ses Applications‎

‎Paris. Librairie Vuibert. 1923. In-8. Br. Nbrs figs. mathématiques. 102 p. Très bon état intérieur. Rousseurs sur la couv. et tache d'encre.‎

書籍販売業者の参照番号 : 35654

‎D'ALEMBERT Jean Le Rond‎

‎Oeuvres posthumes de d’Alembert‎

‎Deux tomes en deux volumes in 8 brochés,couverture d’attente,étiquette de titre imprimée.Tome 1:faux-titre, titre,XII,480 pages, non rogné.Tome 2:faux-titre titre 418 pages non rogné, Charles Pougen Paris Berger Levrault Strasbourg 1799 vieux style (an VII) édition originale Très bon état à très grandes marges‎

書籍販売業者の参照番号 : 5641

‎DUBOIS Raymond‎

‎Utilisation d'un Théorème de Fermat à la Découverte des Nombres Premiers et Notes sur les Nombres de Fibonacci.‎

‎Paris. Albert Blanchard. 1971. In-8. Br. 58 p. TBE.‎

書籍販売業者の参照番号 : 35371