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A source book in classical analysis

Author: Garrett Birkhoff
Publisher: Cambridge : Harvard University Press, 1973.
Series: Source books in the history of the sciences.
Edition/Format:   Book : EnglishView all editions and formats
Database:WorldCat
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Genre/Form: History
Sources
Document Type: Book
All Authors / Contributors: Garrett Birkhoff
ISBN: 0674822455 9780674822450
OCLC Number: 749448
Notes: Includes index.
Description: xii, 470 p. ; 26 cm.
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.
Series Title: Source books in the history of the sciences.
Responsibility: edited by Garrett Birkhoff with the assistance of Uta Merzbach.
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