‎Theorem‎

‎LE MONDE-N°7357-DIMANCHE 8 ET LUNDI 9 SEPTEMBRE 1968‎

‎16 PAGES 35 CM X 50 CM-LA "NORMALISATION" EN TCHECOSLOVAQUIE ET L'EVOLUTION DES RAPPORTS AVEC L'URSS-EN CHINE POPULAIRE LA CREATION DES COMITES DU TIBET ET DU SINKIANG REND LES MAOISTES MAITRES DE TOUT LE PAYS-A L'ILE D'ELBE "IL" EST TOUJOURS LA., PAR PAUL SILVANI-AU FESTIVAL DE VENISE "TEOREMA" DE PASOLINI CANDIDAT AU LION D'OR, PAR JEAN DE BARONCELLI-LA MUSIQUE PAR JACQUES LONCHAMPT: AU FESTIVAL DES FLANDRES L'ORCHESTRE PHILHARMONIQUE DE NEW-YORK-APRES LE LICENCIEMENT DE JEAN-LOUIS BARRAULT PROTESTATION DU SYNDICAT FRANCAIS DES ACTEURS-THEATRE "CHACUN SA VERITE" A L'ATHENEE, ORANE DEMAZIS, MICHEL VITOLD-A VIENNE M. SIMON WIESENTHAL REVELE LA PRESENCE D'ANCIENS NAZIS DANS LES SERVICES DE PROPAGANDE DE BERLIN-EST‎

‎COUVERTURE SOUPLE ETAT BON‎

Bookseller reference : ABE-16803593402

‎"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).‎

Bookseller reference : 46989

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

‎Mémoire sur diverses formules d'analyse.‎

‎(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).‎

Bookseller reference : 49105

‎"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.‎

Bookseller reference : 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.‎

Bookseller reference : 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.‎

Bookseller reference : 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.‎

Bookseller reference : 41657

‎"LORENZ, L. - THE LORENZ-LORENTZ THEOREM.‎

‎Experimentale og teoretiske Undersøgelser over Legemernes Brydningsforhold. (Experimental and theoretical investigations on the refractions in matter).‎

‎Kjøbenhavn (Copenhagen), Bianco Luno,1869. 4to. Uncut and unopened in orig. printed wrappers. [Off-print from: Vidensk. Selsk. Skr., 5 Række, naturvidenskabelig og matematisk Afd., 8 Bd. V.]. Pp. (203-)248. A mint copy.‎

‎First printing, off-print in original printed wrappers of this groundbreaking paper.""A further remarkable result of Lorenz' optical researches on the basis of his fundamental wave equation was the well-known formula (Lorents-Lorenz formula) for the refraction constant R... His first paper on the refraction constant, in which he also gave an experimental verification of his formula in the case of water, dates from 1869. In 1870 H. A. Lorentz arrived at the same result, independently of Lorenz."" (D.S.B. VIII:501).‎

Bookseller reference : 41671

‎"TINSEAU (D'AMONDANS, CHARLES de). - GENERALIZATION OF THE PYTHAGOREAN THEOREM.‎

‎Solution de quelques Problêmes relatifs à la Théorie des Surfaces courbes, & des Courbes à double courbure. (Présenté en 1774).‎

‎(Paris, Moutard, Panckoucke, 1780). 4to. Extract from ""Mémoires fe Mathematique et de Physique, Présentés à l'Academie des Sciences par divers Savans"", Tome IX. Pp. 593-624 and 2 folded engraved plates. Clean and fine.‎

‎First appearance of an importent papwer in the history of analytic geometry.""In this article Tinseau gave an interesting generalization of the Pythagorean theorem for space of three dimensions: the square of the area of a plane surface is equal to the sum of the squares of the projection of this surface upon three mutually perpendicular coordinate planes....To Tinseau it appears that the use of the word ""conoid"" in the modern sense is due.""(Boyer ""History of Analytic Geometry, p. 207).""Two of the three memoirs that constitute Tinseau’s oeuvre deal with topics in the theory of surfaces and curves of double curvature: planes tangent to a surface, contact curves of circumscribed cones or cylinders, various surfaces attached to a space curve, the determination of the osculatory plane at a point of a space curve, problems of quadrature and cubature involving ruled surfaces, the study of the properties of certain special ruled surfaces (particularly conoids), and various results in the analytic geometry of space. In these two papers the equation of the tangent plane at a point of a surface was first worked out in detail (the equation had been known since Parent), methods of descriptive geometry were used in determining the perpendicular common to two straight lines in space, and the Pythagorean theorem was generalized to space (the square of a plane area is equal to the sum of the squares of the projections of this area on mutually perpendicular planes). (DSB). Although Tinseau published very little, his papers are of great interest as additions to Monge’s earliest works. Indeed, Tinseau appears to have been Monge’s first disciple.‎

Bookseller reference : 44931

‎ALSINA, C.‎

‎La Secte des nombres : Le théorème de Pythagore.‎

‎in-8, 151 pages, illustrations en noir, cartonnage illustré. Tres bel exemplaire. [AR-2]‎

‎AYMES, Jean‎

‎Ces problèmes qui font les mathématiques (la trisection de l'angle)‎

‎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

Bookseller reference : 126157

‎B.V. Gnedenko A.I. Khintchine‎

‎Introduction à la théorie des probabilités‎

‎Dunod 1960 in12. 1960. Cartonné.‎

‎Bon état couverture légèrement tachée intérieur très propre‎

Bookseller reference : 100145084

‎Benedetto, John J. / Czaja Wojciech‎

‎Integration and Modern Analysis.‎

‎Basel, Birkhäuser (Birkhäuser Advanced Texts), 2009. XIX, 575 S. (24 cm) Pappband / gebundene Ausgabe‎

‎Gebundene Ausgabe; 1st Edition; Gut und sauber erhalten. Kleiner Preiskleberrest am Hinterdeckel.‎

Bookseller reference : 73245

‎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

‎Théorie Générale des Équations algebraiques.‎

‎Paris Ph.-D. Pierres 1779. 4to. Nice recent vellum titlelabel with gilt lettering on spine. 4XXVIII471 pp. Wide-margined clean and fine. <br/><br/><em>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. </em> hardcover‎

Bookseller reference : 46989

‎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.‎

‎CAMERON, Peter J.‎

‎Combinatorics: Topics, Techniques, Algorithms.‎

‎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

Bookseller reference : 125960 ISBN : 521457610

‎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. <br/><br/><em>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. </em> unknown‎

Bookseller reference : 42295

‎CHANDRASEKHARAN, K.‎

‎Arithmetical Functions‎

‎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

Bookseller reference : 125307

‎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. <br/><br/><em>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. </em> unknown‎

Bookseller reference : 46603

‎Do Carmo, Manfredo P‎

‎Differential Forms and Applications.‎

‎Berlin/New York, Springer (Universitext), 1994. VIII, 118 S. Paperback / kartonierte Ausgabe‎

‎1st Edition; Preiskleber am Vorderdeckel; sonst sehr gut erhalten.‎

Bookseller reference : 73610

‎ESTIENNE, J.E.‎

‎Loisirs d'Artilleur. Le nombre et la valeur dans le combat moderne. Etudes de géométrie. Le théorème de Pascal - La Loi d'entropie - Les télémètres - Etude sur les erreurs d'observation - Essai sur l'art de conjecturer. Causerie sur la tactique à l'usage de l'artillerie.‎

‎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.‎

Bookseller reference : 105953

‎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. <br/><br/><em>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. </em> unknown‎

Bookseller reference : 41596

‎FEJER, LEOPOLD - THE "FUNDAMENTAL SUMMATION THEOREM" DISCOVERED‎

‎Sur les fonctions bornées et intégrables.‎

‎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. <br/><br/><em>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. </em> unknown‎

Bookseller reference : 51494

‎G?del, Kurt‎

‎Three first editions in 3 complete volumes of the journal: Monatshefte f?r Mathematik und Physik A) ?ber formal unentscheidbare S?tze der Principia Mathematica und verwandter Systeme I. In: Monatshefte f?r Mathematik und Physik ; Vol. 38 (1931), p. 173 - 198 // AND B) Die Vollst?ndigkeit der Axiome des logischen Funktionenkalk?ls In: Monatshefte f?r Mathematik und Physik; Vol. 37, part 2 (1930) p. 349-360 AND // C) Zum Entscheidungsproblem des logischen Funktionenkalk?ls In: Monatshefte f?r Mathematik Vol. 40, part 2 (1933) p. 433-443‎

‎Leipzig, Akademische Verlagsanstalt, 1931 / 1930 / 1933. original wrappers, large 8 vo, A) 2 leaves, 404 and 62 pages, [G?del p. [173]-198], B) [183]-404 and 52 pages, 2 leaves, [G?del 349-360], C) 235-470 and 41 pages, 2 leaves, [G?del 433-443], wrappers with librarystamps TU WIEN Ausgeschieden, (=Cancelled Ex-Library copies)‎

‎FIRST EDITIONS OF A) G?DEL'S PROOF 1931, AND G?DEL'S DISSERTATION THESIS AND G?DEL 'S WORK ON THE PROBLEM OF DECISION IN FORMAL MATHEMATICAL SYSTEMS former library copies of the technical university in Vienna in in the volume of 1931 are also articles a) by Karl MENGER: Bericht ?ber ein mathematisches Kolloquium 1929/30 p. 12-38 // b) by Werner HEISENBERG: Die Rolle der Unbestimmtheitsrelationen in der modernen Physik p. 365-372; and many others // German‎

Bookseller reference : EC10-717