A Course of Modern Analysis
4th Edition
Published on 3. September 2013
978-1-107-26643-8 (ISBN)
Description
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.
Reviews / Votes
'This classic text is known to and used by thousands of mathematicians and students of mathematics throughout the world.' L'Enseignement Mathematique '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 SocietyMore details
Series
Edition
4th Revised edition
Language
English
Place of publication
Cambridge
United Kingdom
Target group
Professional and scholarly
Edition type
Revised edition
File size
48939,22 MB
ISBN-13
978-1-107-26643-8 (9781107266438)
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Schweitzer Classification
Other editions
Additional editions
E. T. Whittaker | G. N. Watson
A Course of Modern Analysis
Book
09/1996
4th Edition
Cambridge University Press
€108.20
Article exhausted; check for reprint
Content
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.
