A course of modern analysis : an introduction to the general theory of infinite processes and of analytic functions : with an account of the principal transcendental functions
著者
書誌事項
A course of modern analysis : an introduction to the general theory of infinite processes and of analytic functions : with an account of the principal transcendental functions
（Cambridge mathematical library）
Cambridge University Press, 1996
4th ed
- : pbk
大学図書館所蔵 全39件
注記
Fourth edition 1927. Reissued in the Cambridge mathematical library series 1996
Includes bibliographical references and indexes
内容説明・目次
内容説明
This classic text is known to and used by thousands of mathematicians and students of mathematics throughout the world. It gives an introduction to the general theory of infinite processes and of analytic functions together with an account of the principal transcendental functions.
目次
- 1. Complex numbers
- 2. The theory of convergence
- 3. Continuous functions and uniform convergence
- 4. The theory of Riemann integration
- 5. The fundamental properties of analytic functions
- 6. The theory of residues
- 7. The expansion of functions in infinite series
- 8. Asymptotic expansions and summable series
- 9. Fourier series and trigonometrical series
- 10. Linear differential equations
- 11. Integral equations
- 12. The gamma function
- 13. The zeta function of Riemann
- 14. The hypergeometric function
- 15. The Legendre function
- 16. The confluent hypergeometric functions
- 17. Bessel functions
- 18. The equations of mathematical physics
- 19. Mathieu functions
- 20. Elliptic functions
- 21. The theta functions
- 22. Jacobian elliptic functions
- 23. Ellipsoidal harmonics and Lame's equation.
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