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A source book in classical analysis / edited by Garrett Birkhoff with the assistance of Uta Merzbach.


Cambridge : Harvard University Press, 1973.
ISBN 9780674822450, 0674822455

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Subjects Analise Matematica (Textos Classicos)
Analyse mathématique - Histoire - Sources.
Analyse mathématique -- Histoire -- Sources.
Analyse mathématique.
Analysis.
Aufgabe.
Geschichte.
Mathematical analysis -- History -- Sources.
Mathematical analysis.
Series Source books in the history of the sciences.
Description xii, 470 pages ; 26 cm.
Copyright Date 1973.
Notes Includes bibliographical references (pages 466-467) and index.
Contents 1. Foundations of real analysis -- A. Cauchy's partial rigorization -- B. Continuity and integrability -- 2. Foundations of complex analysis -- A. Early developments -- B. Riemann's influence -- 3. Convergent expansions -- A. The convergence of power series -- B. The influence of Weierstrass -- 4. Asymptotic expansions -- A. Analytic number theory -- B. Asymptotic series -- 5. Fourier series and integrals -- A. Fourier series -- B. The Fourier integral -- 6. Elliptic and abelian integrals -- 7. Elliptic and automorphic functions -- A. Elliptic and hyperelliptic functions -- B. Automorphic functions -- 8. Ordinary differential equations I -- A. Existence and uniqueness theorems -- B. Sturm-Liouville theory -- 9. Ordinary differential equations II -- A. Regular singular points -- B. Other fundamental contributions -- 10. Partial differential equations -- A. The Cauchy-Kowalewski theorem -- B. Beginnings of potential theory -- C. Potential theory develops -- 11. Calculus of variations -- A. Variational principles of dynamics -- B. Intuitive uses of variational principles -- C. Rigorous existence theorems -- 12. Wave equations and characteristics -- 13. Integral equations.
Genre History.
Sources.
Network Numbers (OCoLC)749448
(OCoLC)ocm00749448
WorldCat Search OCLC WorldCat
WorldCat Identities Birkhoff, Garrett, 1911-1996,
Publication timeline, list of works, related names and subjects and other information

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