Overview
Complex variables provide powerful methods for attacking problems that can be very difficult to solve in any other way, and it is the aim of this book to provide a thorough grounding in these methods and their application. Part I of this text provides an introduction to the subject, including analytic functions, integration, series, and residue calculus and also includes transform methods, ODEs in the complex plane, and numerical methods. Part II contains conformal mappings, asymptotic expansions, and the study of Riemann–Hilbert problems. The authors provide an extensive array of applications, illustrative examples and homework exercises. This 2003 edition was improved throughout and is ideal for use in undergraduate and introductory graduate level courses in complex variables.
Full Product Details
Author: Mark J. Ablowitz (University of Colorado, Boulder) ,
Athanassios S. Fokas (Imperial College of Science, Technology and Medicine, London)
Publisher: Cambridge University Press
Imprint: Cambridge University Press (Virtual Publishing)
Edition: 2nd Revised edition
Volume: 35
ISBN: 9780511791246
ISBN 10: 0511791240
Publication Date: 05 September 2012
Audience:
College/higher education
,
Professional and scholarly
,
Tertiary & Higher Education
,
Professional & Vocational
Format: Undefined
Publisher's Status: Active
Availability: Available To Order
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Reviews
'... an excellent text, and one of the most complete and well-written books on complex variables I have seen ... The index is nicely composed, complete, and accurate ... useful as a reference ... I highly recommend it to anyone interested in the subject and have placed it prominently upon my reference bookshelf.' Duwayne Anderson, Optics and Photonics News '... an excellent text, and one of the most complete and well-written books on complex variables I have seen ... I highly recommend it to anyone interested in the subject...'. Optics and Photonics News 'Overall the book feels 'road-tested' both in the lecture theatre and in the crucible of research and the clear well-written text is complemented by a superb collection of worked examples and exercises ranging in scope from routine applications of techniques to more substantial illustrations of the theory.' The Mathematical Gazette '... the book is valuable for students in engineering and physical sciences.' ZAMM
'… an excellent text, and one of the most complete and well-written books on complex variables I have seen … The index is nicely composed, complete, and accurate … useful as a reference … I highly recommend it to anyone interested in the subject and have placed it prominently upon my reference bookshelf.' Duwayne Anderson, Optics and Photonics News '… an excellent text, and one of the most complete and well-written books on complex variables I have seen … I highly recommend it to anyone interested in the subject…'. Optics and Photonics News 'Overall the book feels 'road-tested' both in the lecture theatre and in the crucible of research and the clear well-written text is complemented by a superb collection of worked examples and exercises ranging in scope from routine applications of techniques to more substantial illustrations of the theory.' The Mathematical Gazette '… the book is valuable for students in engineering and physical sciences.' ZAMM
