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Course of Modern Analysis by G. N. Watson and E. T. Whittaker (2021, Hardcover)

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About this product

Product Identifiers

PublisherCambridge University Press

ISBN-101316518930

ISBN-139781316518939

eBay Product ID (ePID)11050082210

Product Key Features

Number of Pages700 Pages

LanguageEnglish

Publication NameCourse of Modern Analysis

SubjectGeneral, Mathematical Analysis

Publication Year2021

FeaturesRevised

TypeTextbook

Subject AreaMathematics

AuthorG. N. Watson, E. T. Whittaker

FormatHardcover

Dimensions

Item Height2.4 in

Item Length10.2 in

Item Width7.3 in

Additional Product Features

Edition Number5

Intended AudienceScholarly & Professional

LCCN2021-038648

Reviews'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, '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

Dewey Edition20

TitleLeadingA

IllustratedYes

Dewey Decimal515.243

Edition DescriptionRevised edition

Table Of ContentForeword 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.

SynopsisThis 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., Continuously in print since its appearance in 1902, Whittaker and Watson is one of those rare books known simply by its authorship. This fifth edition preserves the style and content of the fourth, supplementing it with more recent results. The exhaustive bibliography has been revised to be much more usable.

LC Classification NumberQA401.W62 2021