A Course of Modern Analysis
5th Edition
Published on 26. August 2021
Book
Hardback
718 pages
978-1-316-51893-9 (ISBN)
Description
This classic work has been a unique resource for thousands of mathematicians, scientists and engineers since its first appearance in 1902. Never out of print, its continuing value lies in its thorough and exhaustive treatment of special functions of mathematical physics and the analysis of differential equations from which they emerge. The book also is of historical value as it was the first book in English to introduce the then modern methods of complex analysis. This fifth edition preserves the style and content of the original, but it has been supplemented with more recent results and references where appropriate. All the formulas have been checked and many corrections made. A complete bibliographical search has been conducted to present the references in modern form for ease of use. A new foreword by Professor S.J. Patterson sketches the circumstances of the book's genesis and explains the reasons for its longevity. A welcome addition to any mathematician's bookshelf, this will allow a whole new generation to experience the beauty contained in this text.
Reviews / Votes
'Generations of mathematicians have referred to W&W, as it has been affectionately called, for information that is difficult to locate elsewhere, in particular, on special functions. This improved new edition will enable future generations to access and learn from one of the great classical texts in the mathematical literature. My personal references to W&W are legion; the cover of my worn copy has long been separated from the text because of constant use.' Bruce C. Berndt, University of Illinois at Urbana-Champaign 'Many of us who often use special functions revere the classics of complex analysis from the early 20th century. The names of Copson, MacRobert and Titchmarsh come to mind. However, the grandfather, indeed the overarching prototype, for most of these books is the one always referred to as "Whittaker and Watson." Fortunately for the world of mathematics, Victor Moll has presided over this wonderful fifth edition. Victor has provided an exceptionally valuable introduction that provides summaries of each chapter with ties to modern work. This new edition makes it easier for all to use the immense resources therein. Thank you, Victor! Thank you, Cambridge University Press.' George Andrews, The Pennsylvania State University 'In many cases the coverage here is still the best or one of the best available, and is concise and all in one volume.' Allen Stenger, Mathematical Association of AmericaMore details
Edition
5th Revised edition
Language
English
Place of publication
Cambridge
United Kingdom
Target group
Professional and scholarly
Edition type
Revised edition
Illustrations
Worked examples or Exercises
Dimensions
Height: 260 mm
Width: 183 mm
Thickness: 43 mm
Weight
1529 gr
ISBN-13
978-1-316-51893-9 (9781316518939)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Other editions
Additional editions
E. T. Whittaker | G. N. Watson | Victor H. Moll
A Course of Modern Analysis
E-Book
08/2021
5th Edition
Cambridge University Press
€63.49
Available for download
Previous edition
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
Persons
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'.
Content
Foreword S. J. Patterson; Introduction; Part I. The Process of Analysis: 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 - Taylor's, Laurent's and Liouville's theorems; 6. The theory of residues - application to the evaluation of definite integrals; 7. The expansion of functions in infinite series; 8. Asymptotic expansions and summable series; 9. Fourier series and trigonometric series; 10. Linear differential equations; 11. Integral equations; Part II. The Transcendental Functions: 12. The Gamma-function; 13. The zeta-function of Riemann; 14. The hypergeometric function; 15. Legendre functions; 16. The confluent hypergeometric function; 17. Bessel functions; 18. The equations of mathematical physics; 19. Mathieu functions; 20. Elliptic functions. General theorems and the Weierstrassian functions; 21. The theta-functions; 22. The Jacobian elliptic functions; 23. Ellipsoidal harmonics and Lame's equation; Appendix. The elementary transcendental functions; References; Author index; Subject index.