Cauchy, Augustin Louis Baron 17891857
Overview
Works:  660 works in 1,933 publications in 7 languages and 11,257 library holdings 

Genres:  History Biography Textbooks 
Roles:  Author, Other, Honoree, Originator, Dedicatee 
Classifications:  QA303, 510.92 
Publication Timeline
.
Most widely held works about
Augustin Louis Cauchy
 The origins of Cauchy's rigorous calculus by Judith V Grabiner( Book )
 AugustinLouis Cauchy : a biography by Bruno Belhoste( Book )
 Cauchy and the creation of complex function theory by F Smithies( Book )
 La vie et les travaux du baron Cauchy by C.Alph Valson( )
 Cauchy, 17891857 un mathématicien légitimiste au XIXe siècle by Bruno Belhoste( Book )
 Cauchy, Abel, Seidel, Stokes et la convergence uniforme : de la difficulté historique du raisonnement sur les limites by Gilbert Arsac( Book )
 Die Vernunft im CauchyMythos : Synthetischer Aufbau einer Analysis : Herkunft, Missverstan̈dnisse und Herkunft der Missverständnisse by Detlef D Spalt( Book )
 Mathématisations : AugustinLouis Cauchy et l'Ecole française by Amy DahanDalmédico( Book )
 Sur les problèmes de Cauchy hyperboliques bien posés by Philippe Auguste Dionne( Book )
 On Cauchy's modulus surfaces by Ruby Mabel Grimes( )
 Men of mathematics by Eric Temple Bell( Book )
 Augustin Louis Cauchy : rex mathematicorum by G̈ünter Löffladt( Book )
 AugustinLouis Cauchy and the development of mathematical analysis by Rora Felicia Iacobacci( )
 Trois savants chrétiens au XIXe siècle : Ampère, Cauchy, Pasteur by Alex Véronnet( Book )
 Taylor's theorem with remainder : the legacy of Lagrange, Ampère, and Cauchy by Helene E Walker( )
 Mathematics as political culture : AugustinLouis Cauchy's Cours d'analyse by Matthew L Jones( )
 Cauchy's Cours d'analyse : an annotated translation by Augustin Louis Cauchy( Book )
 Kōshī kindai kaisekigaku eno michi by Shin Hitotsumatsu( Book )
 Complex integration and Cauchy's theorem by G. N Watson( Book )
 Chronological bibliography of the Cauchy integral theorem by H. K Fallin( Book )
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Most widely held works by
Augustin Louis Cauchy
Oeuvres complètes by
Augustin Louis Cauchy(
)
164 editions published between 1882 and 2009 in 3 languages and held by 558 WorldCat member libraries worldwide
AugustinLouis, Baron Cauchy (17891857) was the preeminent French mathematician of the nineteenth century. He began his career as a military engineer during the Napoleonic Wars, but even then was publishing significant mathematical papers, and was persuaded by Lagrange and Laplace to devote himself entirely to mathematics. His greatest contributions are considered to be the Cours d'analyse de l'École Royale Polytechnique (1821), Résumé des leçons sur le calcul infinitésimal (1823) and Leçons sur les applications du calcul infinitésimal à la géométrie (18268), and his pioneering work encompassed a huge range of topics, most significantly real analysis, the theory of functions of a complex variable, and theoretical mechanics. Twentysix volumes of his collected papers were published between 1882 and 1958. The first series (volumes 112) consists of papers published by the Académie des Sciences de l'Institut de France; the second series (volumes 1326) of papers published elsewhere
164 editions published between 1882 and 2009 in 3 languages and held by 558 WorldCat member libraries worldwide
AugustinLouis, Baron Cauchy (17891857) was the preeminent French mathematician of the nineteenth century. He began his career as a military engineer during the Napoleonic Wars, but even then was publishing significant mathematical papers, and was persuaded by Lagrange and Laplace to devote himself entirely to mathematics. His greatest contributions are considered to be the Cours d'analyse de l'École Royale Polytechnique (1821), Résumé des leçons sur le calcul infinitésimal (1823) and Leçons sur les applications du calcul infinitésimal à la géométrie (18268), and his pioneering work encompassed a huge range of topics, most significantly real analysis, the theory of functions of a complex variable, and theoretical mechanics. Twentysix volumes of his collected papers were published between 1882 and 1958. The first series (volumes 112) consists of papers published by the Académie des Sciences de l'Institut de France; the second series (volumes 1326) of papers published elsewhere
Cauchy's Cours d'analyse : an annotated translation by
Augustin Louis Cauchy(
)
13 editions published in 2009 in English and Undetermined and held by 548 WorldCat member libraries worldwide
Presents a workable definition of limits and a means to make them the basis of a rigorous theory of calculus
13 editions published in 2009 in English and Undetermined and held by 548 WorldCat member libraries worldwide
Presents a workable definition of limits and a means to make them the basis of a rigorous theory of calculus
Abhandlung über bestimmte integrale zwischen imaginären grenzen by
Augustin Louis Cauchy(
Book
)
37 editions published between 1825 and 2017 in 3 languages and held by 499 WorldCat member libraries worldwide
37 editions published between 1825 and 2017 in 3 languages and held by 499 WorldCat member libraries worldwide
Cours d'analyse de l'École royale polytechnique by
Augustin Louis Cauchy(
Book
)
85 editions published between 1821 and 2009 in 4 languages and held by 476 WorldCat member libraries worldwide
In 1821, the French mathematician AugustinLouis Cauchy published Cours d'Analyse de L'École Royale Polytechnique, a textbook designed to teach his students the basic theorems of calculus in as rigorous a way as possible. Cauchy was a pioneer of mathematical analysis, a branch of mathematics concerned with the idea of a limit, whether of a sequence or of a function. This book consists of 12 chapters that discuss real functions, infinitely small and large quantities, substitution groups, symmetrical functions, unknown variables, imaginary functions, and rational fractions in a recurrent series. It also provides formulas for solving various problems, such as converting the sine and cosine of a multiple polynomial arc and the Lagrange interpolation. Cauchy built on the work of Leibniz and Newton and is generally regarded as one of the greatest mathematicians in history. This is a reissue of one of his most important contributions
85 editions published between 1821 and 2009 in 4 languages and held by 476 WorldCat member libraries worldwide
In 1821, the French mathematician AugustinLouis Cauchy published Cours d'Analyse de L'École Royale Polytechnique, a textbook designed to teach his students the basic theorems of calculus in as rigorous a way as possible. Cauchy was a pioneer of mathematical analysis, a branch of mathematics concerned with the idea of a limit, whether of a sequence or of a function. This book consists of 12 chapters that discuss real functions, infinitely small and large quantities, substitution groups, symmetrical functions, unknown variables, imaginary functions, and rational fractions in a recurrent series. It also provides formulas for solving various problems, such as converting the sine and cosine of a multiple polynomial arc and the Lagrange interpolation. Cauchy built on the work of Leibniz and Newton and is generally regarded as one of the greatest mathematicians in history. This is a reissue of one of his most important contributions
Exercices de mathématiques by
Augustin Louis Cauchy(
)
28 editions published between 1826 and 1830 in French and English and held by 326 WorldCat member libraries worldwide
28 editions published between 1826 and 1830 in French and English and held by 326 WorldCat member libraries worldwide
Œuvres complètes d'Augustin Cauchy by
Augustin Louis Cauchy(
Book
)
3 editions published in 2017 in French and held by 275 WorldCat member libraries worldwide
3 editions published in 2017 in French and held by 275 WorldCat member libraries worldwide
Exercices d'analyse et de physique mathematique by
Augustin Louis Cauchy(
)
29 editions published between 1840 and 2011 in French and English and held by 261 WorldCat member libraries worldwide
29 editions published between 1840 and 2011 in French and English and held by 261 WorldCat member libraries worldwide
Leçons sur les applications du calcul infinitésimal à la géométrie : Tome premier by
Augustin Louis Cauchy(
)
28 editions published between 1826 and 2016 in French and English and held by 260 WorldCat member libraries worldwide
28 editions published between 1826 and 2016 in French and English and held by 260 WorldCat member libraries worldwide
Leçons de calcul différentiel et de calcul intégral by
Moigno(
Book
)
23 editions published between 1840 and 1861 in French and German and held by 259 WorldCat member libraries worldwide
23 editions published between 1840 and 1861 in French and German and held by 259 WorldCat member libraries worldwide
Mémoire sur la dispersion de la lumière by
Augustin Louis Cauchy(
)
21 editions published between 1830 and 2000 in French and held by 235 WorldCat member libraries worldwide
21 editions published between 1830 and 2000 in French and held by 235 WorldCat member libraries worldwide
Reśumeś analytiques by
Augustin Louis Cauchy(
Book
)
18 editions published between 1833 and 2017 in French and Undetermined and held by 201 WorldCat member libraries worldwide
18 editions published between 1833 and 2017 in French and Undetermined and held by 201 WorldCat member libraries worldwide
Topics in mathematical analysis : a volume dedicated to the memory of A.L. Cauchy by
Themistocles M Rassias(
Book
)
10 editions published in 1989 in English and held by 172 WorldCat member libraries worldwide
Symmetric second differences in product form on groups / J. Aczélf, J.K. Chung & C.T. Ng  Analytic and gevrey regularity for linear partial differential operators / L. Albano & L. Rodino On the multiplicative cauchy equation for constructible real numbers / C. Alsina & J.L GarciaRoig  Asymptotic versus classical mathematics / R.G. Barantsev  On a weighted eigenvalue problem of equations of mixed type / C.C. Chang  Application of the Cauchy type integrals and their generations in the theory of automorphic functions / L.I. Chibrikova  The linear and nonlinear CauchyPoisson wave problems for an inviscid or viscous liquid / L. Debnath  A general mathematical theory of a threeport surface acoustic wave network with applications / N.C. Debnath & L. Debnath  Path dependent analysis / J. Donate  On the representation of functionals and the stability of mappings in Hilbert and Banach space / H. Drljević  An elementary approach to the generalized Fourier transform / H.G. Feichtinge  On a class of alternative functional equations of Cauchy type / C.B. Forti & G.L. Forti  qextensions of Barnes', Cauchy's and Euler's beta integrals / G. Gasper  The geometrical index theorem for Clifford modules / P.B. Gilkey  Old and new problems in geometric function theory / A.W. Goodman  Applications of the theory of generalized differential equations / H. Guggenheimer  Homology groups, differential forms and Hecke rings on Siegel modular varieties / K. Hatada  Polynomial operators / D.H. Hyers  An infinite dimensional extension of theorems of Hartman and Wintner on monotone positive solutions of ordinary differential equations / A.F. Izé  A representation of the solution of the cauchy's problem for a degenerate hyperbolic equation in several independent variables / X.H. Ji & D.Q. Chen  On some variants of Frankl's problem for the Lavrent'evBitsadze equation in a halfplane / O.M. Jokhadze  Unbounded operators associated to unitary representations of nilpotent Lie groups / P.B.T. Jorgensen  Cauchy equations and some of their applications / P.L Kannappan  An ultranet technique in metric fixed point theory / W.A. Kirk & S. Massa  On singular integral operators and generalizations / M. Kracht & E. Kreyszig  Nonnegativity of mass and entropy in continuous dynamics / B.A. Kupershmidt  Exact controllability of the EulerBernoulli equation with boundary controls for displacement and moment / I. Lasiecka & R. Triggiani  Regularity theroy for a class of nonhomogeneous EulerBernoulli equations: a cosine operator approach / I. Lasiecka & R. Triggiani  Nonlocal reduction method in differential equations theory / G.A. Leonov & V.B. Smirnova  Complex orthogonality on the semicircle with respect to Gegenbauer weight : theory and applications / G.V. Milovanović  Functions of hardyorlicz class on Riemann surfaces / M. Nakai  An application of the CauchyKowalewsky theorem : the minimal surface equation at corners / H. Parks  On certain properties of polynomials and their derivative / Th. M. Rassias  On characterizations of inner product spaces and generalizations of the H. Bohr inequality / Th. M. Rassias  The Cauchy functional equation on real Banach algebras / P. Šemrl  A unified presentation of certain bilateral generating functions for a class of polynomials / H.M. Srivastava  Martin compactification for Aschrödinger equation in an angular domain / T. Tada  Painlevé property and LieBäcklund symmetries of a class of coupled nonlinear evolution equations / K.M. Tamizhmani, R. Sahadevan & M. Lakshmanan  The role of minimal surfaces in the physics of elementary particles / V. Tapia  Unified convergence analysis for a class of iterative methods for solving nonlinear equations / T. Yamamoto  Nonfredholm boundaryvalue problems for multidimensional elliptic equations / A. Yanushauskas  Nonlocal CauchyGoursat problem / V.I. Zhegalov & R.R. Chabakaev  Seven problems in mathematical analysis / Th. M. Rassias
10 editions published in 1989 in English and held by 172 WorldCat member libraries worldwide
Symmetric second differences in product form on groups / J. Aczélf, J.K. Chung & C.T. Ng  Analytic and gevrey regularity for linear partial differential operators / L. Albano & L. Rodino On the multiplicative cauchy equation for constructible real numbers / C. Alsina & J.L GarciaRoig  Asymptotic versus classical mathematics / R.G. Barantsev  On a weighted eigenvalue problem of equations of mixed type / C.C. Chang  Application of the Cauchy type integrals and their generations in the theory of automorphic functions / L.I. Chibrikova  The linear and nonlinear CauchyPoisson wave problems for an inviscid or viscous liquid / L. Debnath  A general mathematical theory of a threeport surface acoustic wave network with applications / N.C. Debnath & L. Debnath  Path dependent analysis / J. Donate  On the representation of functionals and the stability of mappings in Hilbert and Banach space / H. Drljević  An elementary approach to the generalized Fourier transform / H.G. Feichtinge  On a class of alternative functional equations of Cauchy type / C.B. Forti & G.L. Forti  qextensions of Barnes', Cauchy's and Euler's beta integrals / G. Gasper  The geometrical index theorem for Clifford modules / P.B. Gilkey  Old and new problems in geometric function theory / A.W. Goodman  Applications of the theory of generalized differential equations / H. Guggenheimer  Homology groups, differential forms and Hecke rings on Siegel modular varieties / K. Hatada  Polynomial operators / D.H. Hyers  An infinite dimensional extension of theorems of Hartman and Wintner on monotone positive solutions of ordinary differential equations / A.F. Izé  A representation of the solution of the cauchy's problem for a degenerate hyperbolic equation in several independent variables / X.H. Ji & D.Q. Chen  On some variants of Frankl's problem for the Lavrent'evBitsadze equation in a halfplane / O.M. Jokhadze  Unbounded operators associated to unitary representations of nilpotent Lie groups / P.B.T. Jorgensen  Cauchy equations and some of their applications / P.L Kannappan  An ultranet technique in metric fixed point theory / W.A. Kirk & S. Massa  On singular integral operators and generalizations / M. Kracht & E. Kreyszig  Nonnegativity of mass and entropy in continuous dynamics / B.A. Kupershmidt  Exact controllability of the EulerBernoulli equation with boundary controls for displacement and moment / I. Lasiecka & R. Triggiani  Regularity theroy for a class of nonhomogeneous EulerBernoulli equations: a cosine operator approach / I. Lasiecka & R. Triggiani  Nonlocal reduction method in differential equations theory / G.A. Leonov & V.B. Smirnova  Complex orthogonality on the semicircle with respect to Gegenbauer weight : theory and applications / G.V. Milovanović  Functions of hardyorlicz class on Riemann surfaces / M. Nakai  An application of the CauchyKowalewsky theorem : the minimal surface equation at corners / H. Parks  On certain properties of polynomials and their derivative / Th. M. Rassias  On characterizations of inner product spaces and generalizations of the H. Bohr inequality / Th. M. Rassias  The Cauchy functional equation on real Banach algebras / P. Šemrl  A unified presentation of certain bilateral generating functions for a class of polynomials / H.M. Srivastava  Martin compactification for Aschrödinger equation in an angular domain / T. Tada  Painlevé property and LieBäcklund symmetries of a class of coupled nonlinear evolution equations / K.M. Tamizhmani, R. Sahadevan & M. Lakshmanan  The role of minimal surfaces in the physics of elementary particles / V. Tapia  Unified convergence analysis for a class of iterative methods for solving nonlinear equations / T. Yamamoto  Nonfredholm boundaryvalue problems for multidimensional elliptic equations / A. Yanushauskas  Nonlocal CauchyGoursat problem / V.I. Zhegalov & R.R. Chabakaev  Seven problems in mathematical analysis / Th. M. Rassias
Equations différentielles ordinaires : cours inédit : fragment = Ordinary differential equations : unpublished course :
fragment by
Augustin Louis Cauchy(
Book
)
17 editions published between 1910 and 1981 in French and English and held by 171 WorldCat member libraries worldwide
Suite du calcul infinitesimal; Equations differentielles ordinales
17 editions published between 1910 and 1981 in French and English and held by 171 WorldCat member libraries worldwide
Suite du calcul infinitesimal; Equations differentielles ordinales
Leçons de mécanique analytique by
Moigno(
Book
)
13 editions published between 1868 and 1966 in French and held by 163 WorldCat member libraries worldwide
13 editions published between 1868 and 1966 in French and held by 163 WorldCat member libraries worldwide
Résumé des leçons données à l'École royale polytechnique sur le calcul infinitésimal : Tome premier by
Augustin Louis Cauchy(
Book
)
45 editions published between 1823 and 2017 in 4 languages and held by 163 WorldCat member libraries worldwide
45 editions published between 1823 and 2017 in 4 languages and held by 163 WorldCat member libraries worldwide
Leçons sur le calcul différentiel by
Augustin Louis Cauchy(
Book
)
34 editions published between 1829 and 2017 in German and French and held by 158 WorldCat member libraries worldwide
34 editions published between 1829 and 2017 in German and French and held by 158 WorldCat member libraries worldwide
Zwei abhandlungen zur theorie der partiellen differentialgleichungen erster ordnung by
Gerhard Kowalewski(
Book
)
10 editions published in 1900 in German and held by 139 WorldCat member libraries worldwide
10 editions published in 1900 in German and held by 139 WorldCat member libraries worldwide
Calcul des indices des fonctions by
Augustin Louis Cauchy(
)
8 editions published between 1833 and 1837 in French and Undetermined and held by 130 WorldCat member libraries worldwide
8 editions published between 1833 and 1837 in French and Undetermined and held by 130 WorldCat member libraries worldwide
Théorie de la propagation des ondes à la surface d'un fluide pesant d'une profondeur indéfinie by
Augustin Louis Cauchy(
)
7 editions published between 1816 and 1827 in French and held by 129 WorldCat member libraries worldwide
7 editions published between 1816 and 1827 in French and held by 129 WorldCat member libraries worldwide
Résumé d'un mémoire sur les rapportes qui existent entre le calcul des résidus et le calcul des limites ... by
Augustin Louis Cauchy(
Book
)
4 editions published in 1831 in French and held by 125 WorldCat member libraries worldwide
4 editions published in 1831 in French and held by 125 WorldCat member libraries worldwide
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Related Identities
 Académie des sciences (France) Publishing director Restager Secretary Editor
 Grabiner, Judith V. Author
 Belhoste, Bruno Author
 Moigno abbé (François Napoléon Marie) 18041884 Other Author Editor
 Sandifer, Charles Edward 1951
 Bradley, Robert E.
 Smithies, F. (Frank) 1912 Author
 France Ministère de l'éducation nationale
 Valson, C.Alph (ClaudeAlphonse) 1826 Author
 Lagrange, J. L. (Joseph Louis) 17361813 Author
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Associated Subjects
Abel, Niels Henrik, Algebraic functions Ampère, AndréMarie, Analytic functions Archimedes Calculus Calculus, Integral Calculus of variations Cauchy, Augustin Louis,Baron, Cauchy problem Convergence Definite integrals Descartes, René, Differential calculus Differential equations Differential equations, Partial Dispersion Elasticity Fluid dynamics Fourier, JeanBaptisteJoseph, Fourier series France Functions Functions, Continuous Functions of complex variables Gauss, Carl Friedrich, Geometry Hamilton, William Rowan,Sir, Integrals Lagrange, J. L.(Joseph Louis), Laplace, Pierre Simon,marquis de, Leibniz, Gottfried Wilhelm,Freiherr von, Lobachevskiĭ, N. I.(Nikolaĭ Ivanovich), Mathematical analysis Mathematical physics Mathematicians Mathematics Newton, Isaac Number theory Pascal, Blaise, Pasteur, Louis, Poncelet,M.(Jean Victor), Seidel, Philipp Ludwig, Series Series, Taylor's Statics Stokes, George Gabriel, Surfaces, Algebraic Sylvester Wavemotion, Theory of
Covers
Alternative Names
Augustin Cauchy
Augustin Louis Cauchy Frans wiskundige
Augustin Louis Cauchy fransk ingeniør og matematikar
Augustin Louis Cauchy fransk ingeniør og matematiker
Augustin Louis Cauchy fransk ingenjör och matematiker
AugustinLouis Cauchy französischer Mathematiker
AugustinLouis Cauchy French mathematician
AugustinLouis Cauchy French mathematician (1789–1857)
Augustin Louis Cauchy matemàtic francès
Augustin Louis Cauchy matematician francez
AugustinLouis Cauchy matematico e ingegnere francese
Augustin Louis Cauchy matemático francés
Augustin Louis Cauchy matematikan francez
Augustin Louis Cauchy matematyk francuski
Augustin Louis Cauchy mathématicien français
Augustin Louis Cauchy ranskalainen matemaatikko
Augustinus Ludovicus Cauchy
Auqusto Koşi
Cauchy 17891857
Cauchy, A.
Cauchy, A. L.
Cauchy, A. L. 17891857
Cauchy, A. L. 17891857 Baron
Cauchy, A. L. (Augustin Louis), 17891857
Cauchy, A. L. (Augustin Louis), Baron, 17891857
Cauchy, AgustinLouis
Cauchy, Auguste Louis 17891857
Cauchy, Augustin
Cauchy Augustin 17891857
Cauchy, AugustinLouie 17891857
Cauchy Augustin Louis
Cauchy, AugustinLouis 17891857
Cauchy, Augustin Louis 17891857 Baró
Cauchy, Augustin Louis 17891857 baron
Cauchy, Augustin Louis, Baró, 17891857
Cauchy, Augustin Louis Baron
Cauchy, Augustin Louis, baron, 17891857
Cauchy, Augustino 17891857 barone
Cauchy, Augustino, barone, 17891857
Cauchy, Augustino Luigi 17891857
Cauchy Barão de
Cauchy Baron 17891857
Cauchy, Louis.
Cauchy Louis 17891857
Koshi, A.L. 17891857
Koshi, A. L. 17891857 baron
Koshi, A. L., baron, 17891857
Koshi, Ogi︠u︡sten Lui 17891857
Koshi, Ogiusten Lui 17891857 baron
Koshi, Ogiusten Lui, baron, 17891857
Koshi Ogyusten Lui
Koši, A. L.
Koši, O. L.
Ogistēns Košī
ΩγκυστένΛουί Κωσύ
Агюстэн Луі Кашы
Коши Огюстен Луи
Огистен Луј Коши
Огюстен Луи Коши французский математик и механик
ОґюстенЛуї Коші
ОґюстенЛуї Коші французький математик, член Паризької академії наук (1816)
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آقوستین لویی کوشی
أوغستين لوي كوشي
أوغستين لوي كوشي رياضياتي فرنسي
آگوستین لویی کوشی ریاضیدان و مهندس فرانسوی
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