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 Lamé's equation; Appendix. The elementary transcendental functions; References; Author index; Subject index.
New edition of a true classic in mathematics. Preserves the flavour of the original, updating where appropriate and improving usability.
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.
'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 America
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