E. T. Whittaker

Course of Modern Analysis (eBook, PDF)

• Format: PDF

Produktbeschreibung

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.

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Produktdetails

• Verlag: Cambridge University Press
• Erscheinungstermin: 13. September 1996
• Englisch
• ISBN-13: 9781107266438
• Artikelnr.: 52948943

Inhaltsangabe

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 Lamé's equation.