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 - Brossura

Whittaker, E

Brossura

ISBN 10: 0521588073 ISBN 13: 9780521588072

Casa editrice: Cambridge University Press, 2009

Riassunto

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.

Su questo libro

Recensione:

'This classic text is known to and used by thousands of mathematicians and students of mathematics throughout the world.' L'Enseignement Mathématique

'Whittaker and Watson has entered and held the field as the standard book of reference in English on the applications of analysis to the transcendental functions. This end has been successfully achieved by following the sensible course of explaining the methods of modern analysis in the first part of the book and then proceeding to a detailed discussion of the transcendental function, unhampered by the necessity of continually proving new theorems for special applications. In this way the authors have succeeded in being rigorous without imposing on the reader the mass of detail which so often tends to make a rigorous demonstration tedious.' Nature

'A wealth of mathematical ideas with a touch of old times make this book a pleasure to read.' European Mathematical Society

Contenuti:

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.

Su questa edizione

• Editore: Cambridge University Press
• Data di pubblicazione: 2009
• ISBN 10: 0521588073
• ISBN 13: 9780521588072
• Rilegatura: Copertina flessibile
• Numero edizione: 4
• Numero di pagine: 620