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

by E.T. Whittaker and G.N. Watson

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.

「Nielsen BookData」より

[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.

「Nielsen BookData」より

この本の情報

書名 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
著作者等 Watson, G. N.
Whittaker, E. T.
Watson G. N.
Whittaker E.T.
書名別名 Modern analysis
出版元 Cambridge University Press
刊行年月 1927
版表示 4th ed
ページ数 608 p.
大きさ 24 cm
ISBN 0521588073
NCID BA01142139
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言語 英語
出版国 イギリス
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