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

De theoremate Abeliano observatio.

183241657Berlin, 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.

Herman H. J. Lynge & Son · Copenhagen, Danemark750,00 DKK≈ 100,73 €

JACOBI, CGJ - COINING THE WORD "ABEL'S THEOREM" C G JBiblio.com

De theoremate Abeliano observatio.

183241657Berlin 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. <br/><br/><em>First printing. </em> unknown

Herman H. J. Lynge & Søn A/S · Danemark750,00 DKK≈ 100,73 €

"FEJÉR, LÉOPOLD - THE ""FUNDAMENTAL SUMMATION THEOREM"" DISCOVERED.Livre Rare Book

Sur les fonctions bornées et intégrables.

190051494(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.

Herman H. J. Lynge & Son · Copenhagen, Danemark850,00 DKK≈ 114,16 €

FEJER, LEOPOLD - THE "FUNDAMENTAL SUMMATION THEOREM" DISCOVEREDBiblio.com

Sur les fonctions bornées et intégrables.

190051494Paris 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

Herman H. J. Lynge & Søn A/S · Danemark850,00 DKK≈ 114,16 €

GREVY, A. - CHARRUIT, N.Livre Rare Book

Compositions données depuis 1872 aux examens de Saint-Cyr. Algèbre et géométrie. Enoncés et solutions - Problèmes et épures de géométrie descriptive. Tome premier, Planches. (Ouvrage composite)

18911181041891 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)

Librairie Le Père Pénard · Lyon, France120,00 €

"CAUCHY, AUGUSTIN. - THE CLASSICAL ""SAMPLING THEOREM"" STATED.Livre Rare Book

Mémoire sur diverses formules d'analyse.

184149105(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.

Herman H. J. Lynge & Son · Copenhagen, Danemark1 500,00 DKK≈ 201,45 €

CAUCHY, AUGUSTIN - THE CLASSICAL "SAMPLING THEOREM" STATEDBiblio.com

Mémoire sur diverses formules d'analyse.

184149105Paris 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. <br/><br/><em>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. </em> unknown

Herman H. J. Lynge & Søn A/S · Danemark1 500,00 DKK≈ 201,45 €

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

On the Attraction of homogenous Ellipsoides. Read June 15, 1809.

180942620(London, W. Bulmer and Co., 1809). 4to. No wrappers as extracted from ""Philosophical Transactions"" 1809 - Part II. Pp. 345-372. Clean and fine.

Herman H. J. Lynge & Son · Copenhagen, Danemark1 850,00 DKK≈ 248,46 €

IVORY, JAMES - THE INTRODUCTION OF IVORY'S THEOREMBiblio.com

On the Attraction of homogenous Ellipsoides. Read June 15 1809.

180942620London W. Bulmer and Co. 1809. 4to. No wrappers as extracted from "Philosophical Transactions" 1809 - Part II. Pp. 345-372. Clean and fine. <br/><br/><em>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. </em> unknown

Herman H. J. Lynge & Søn A/S · Danemark1 850,00 DKK≈ 248,46 €

"LORENZ, L. - THE LORENZ-LORENTZ THEOREM.Livre Rare Book

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

186941671Kjøbenhavn (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.

Herman H. J. Lynge & Son · Copenhagen, Danemark2 500,00 DKK≈ 335,75 €

LORENZ, L - THE LORENZ-LORENTZ THEOREMBiblio.com

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

186941671Kjøbenhavn Copenhagen Bianco Luno1869. 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. <br/><br/><em>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. </em> unknown

Herman H. J. Lynge & Søn A/S · Danemark2 500,00 DKK≈ 335,75 €

"CAYLEY, ARTHUR. - THE FOUR COLOUR THEOREM.Livre Rare Book

On the Colouring of Maps.

187941917London, 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

Herman H. J. Lynge & Son · Copenhagen, Danemark3 500,00 DKK≈ 470,05 €

CAYLEY, ARTHUR - THE FOUR COLOUR THEOREMBiblio.com

On the Colouring of Maps.

187941917London 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 <br/><br/><em>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. </em> unknown

Herman H. J. Lynge & Søn A/S · Danemark3 500,00 DKK≈ 470,05 €

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

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.

185842295(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.

Herman H. J. Lynge & Son · Copenhagen, Danemark7 500,00 DKK≈ 1 007,25 €

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

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, ...

184846603Berlin, 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.

Herman H. J. Lynge & Son · Copenhagen, Danemark7 500,00 DKK≈ 1 007,25 €

CAYLEY, ARTHUR - THE CAYLEY-HAMILTON THEOREM ANNOUNCED - THE MATHEMATICS OF QUANTUM MECHANICSBiblio.com

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.

185842295London 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

Herman H. J. Lynge & Søn A/S · Danemark7 500,00 DKK≈ 1 007,25 €

D'ALEMBERT, JEAN LE ROND - D'ALEMBERT'S THEOREM - THE FUNDAMENTAL THEOREM OF ALGEBRABiblio.com

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 .

184846603Berlin 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

Herman H. J. Lynge & Søn A/S · Danemark7 500,00 DKK≈ 1 007,25 €

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

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

187347891Paris: 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.

Herman H. J. Lynge & Son · Copenhagen, Danemark8 500,00 DKK≈ 1 141,55 €

HERMITE, CHARLES - HERMITE'S THEOREM PROOVING THE TRANSCENDALITY OF eBiblio.com

Sur la fonction exponentielle. Suite. Sur la fonction exponentielle. Suite. 4 Parts all.

187347891Paris: 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. <br/><br/><em>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. </em> unknown

Herman H. J. Lynge & Søn A/S · Danemark8 500,00 DKK≈ 1 141,55 €

HERMITE, CHARLES - HERMITE'S THEOREMBiblio.com

Sur la fonction exponentielle. In: Comptes Rendus Hebdomadaires des Seances de l'Academie des Sciences vol 77 pp.18-24; 74-79; 226-233; 285-293. - IMPORTANT PAPER IN NUMBER THEORY

187338036Paris: Gauthier-Villars 1873. 4to. 282x225mm. Entire volume 1628 pp. offered here in original blank wrappers unopened. An exceptionally fine copy. 4 parts <br/><br/><em>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. </em> unknown

Herman H. J. Lynge & Søn A/S · Danemark10 000,00 DKK≈ 1 343,00 €

HERMITE, CHARLES. - HERMITE'S THEOREM.Livre Rare Book

Sur la fonction exponentielle. (In: Comptes Rendus Hebdomadaires des Seances de l'Academie des Sciences, vol 77, pp.18-24 74-79 226-233 285-293). - [IMPORTANT PAPER IN NUMBER THEORY]

187338036Paris: Gauthier-Villars, 1873. 4to. (282x225mm). Entire volume (1628 pp.) offered here in original blank wrappers, unopened. An exceptionally fine copy. 4 parts

Herman H. J. Lynge & Son · Copenhagen, Danemark10 000,00 DKK≈ 1 343,00 €

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