A Course of Modern Analysis / Edition 4

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

Overview

This classic text has entered and held the field as the standard book on the applications of analysis to the transcendental functions. The authors explain the methods of modern analysis in the first part of the book and then proceed 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 that so often tends to make a rigorous demonstration tedious. Researchers and students will find this book as valuable as ever.

Product Details

ISBN-13:	9780521588072
Publisher:	Cambridge University Press
Publication date:	09/13/1996
Series:	Cambridge Mathematical Library
Edition description:	REV
Pages:	620
Product dimensions:	5.98(w) x 8.98(h) x 1.30(d)

About the Author

E. T. Whittaker was Professor of Mathematics at the University of Edinburgh. He was awarded the Copley Medal in 1954, 'for his distinguished contributions to both pure and applied mathematics and to theoretical physics'.

G. N. Watson was Professor of Pure Mathematics at the University of Birmingham. He is known, amongst other things, for the 1918 result now known as Watson's lemma and was awarded the De Morgan Medal in 1947.

Victor H. Moll is Professor in the Department of Mathematics at Tulane University. He co-authored Elliptic Curves (Cambridge, 1997) and was awarded the Weiss Presidential Award in 2017 for his Graduate Teaching. He first received a copy of Whittaker and Watson during his own undergraduate studies at the Universidad Santa Maria in Chile.

Table of Contents

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.

Editorial Reviews

'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

From the Publisher