WorldCat Identities

Cauchy, Augustin Louis Baron 1789-1857

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
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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

Augustin-Louis, Baron Cauchy (1789-1857) was the pre-eminent 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 (1826-8), 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. Twenty-six volumes of his collected papers were published between 1882 and 1958. The first series (volumes 1-12) consists of papers published by the Académie des Sciences de l'Institut de France; the second series (volumes 13-26) 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
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

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 Augustin-Louis 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

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

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

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

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

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

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

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 Garcia-Roig -- 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 Cauchy-Poisson wave problems for an inviscid or viscous liquid / L. Debnath -- A general mathematical theory of a three-port 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 -- q-extensions 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'ev-Bitsadze equation in a half-plane / 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 Euler-Bernoulli equation with boundary controls for displacement and moment / I. Lasiecka & R. Triggiani -- Regularity theroy for a class of nonhomogeneous Euler-Bernoulli 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 hardy-orlicz class on Riemann surfaces / M. Nakai -- An application of the Cauchy-Kowalewsky 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 Lie-Bäcklund 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 -- Non-fredholm boundary-value problems for multi-dimensional elliptic equations / A. Yanushauskas -- Nonlocal Cauchy-Goursat 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
Leçons de mécanique analytique by Moigno( Book )

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

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

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

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

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

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

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Cauchy's Cours d'analyse : an annotated translation
Cauchy's Cours d'analyse : an annotated translationCours d'analyse de l'École royale polytechniqueCauchy and the creation of complex function theoryCauchy's Cours d'analyse : an annotated translation
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

Augustin-Louis Cauchy französischer Mathematiker

Augustin-Louis Cauchy French mathematician

Augustin-Louis Cauchy French mathematician (1789–1857)

Augustin Louis Cauchy matemàtic francès

Augustin Louis Cauchy matematician francez

Augustin-Louis 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 1789-1857

Cauchy, A.

Cauchy, A. L.

Cauchy, A. L. 1789-1857

Cauchy, A. L. 1789-1857 Baron

Cauchy, A. L. (Augustin Louis), 1789-1857

Cauchy, A. L. (Augustin Louis), Baron, 1789-1857

Cauchy, Agustin-Louis

Cauchy, Auguste Louis 1789-1857

Cauchy, Augustin

Cauchy Augustin 1789-1857

Cauchy, Augustin-Louie 1789-1857

Cauchy Augustin Louis

Cauchy, Augustin-Louis 1789-1857

Cauchy, Augustin Louis 1789-1857 Baró

Cauchy, Augustin Louis 1789-1857 baron

Cauchy, Augustin Louis, Baró, 1789-1857

Cauchy, Augustin Louis Baron

Cauchy, Augustin Louis, baron, 1789-1857

Cauchy, Augustino 1789-1857 barone

Cauchy, Augustino, barone, 1789-1857

Cauchy, Augustino Luigi 1789-1857

Cauchy Barão de

Cauchy Baron 1789-1857

Cauchy, Louis.

Cauchy Louis 1789-1857

Koshi, A.L. 1789-1857

Koshi, A. L. 1789-1857 baron

Koshi, A. L., baron, 1789-1857

Koshi, Ogi︠u︡sten Lui 1789-1857

Koshi, Ogiusten Lui 1789-1857 baron

Koshi, Ogiusten Lui, baron, 1789-1857

Koshi Ogyusten Lui

Koši, A. L.

Koši, O. L.

Ogistēns Košī

Ωγκυστέν-Λουί Κωσύ

Агюстэн Луі Кашы

Коши Огюстен Луи

Огистен Луј Коши

Огюстен Луи Коши французский математик и механик

Оґюстен-Луї Коші

Оґюстен-Луї Коші французький математик, член Паризької академії наук (1816)

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French (409)

English (145)

German (56)

Russian (4)

Japanese (3)

Italian (1)

Spanish (1)