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BeschreibungComplex variables offer very efficient methods for attacking many difficult problems, and it is the aim of this book to offer a thorough review of these methods and their applications. Part I is an introduction to the subject, including residue calculus and transform methods. Part II advances to conformal mappings, and the study of Riemann-Hilbert problems. An extensive array of examples and exercises are included. This new edition has been improved throughout and is ideal for use in introductory undergraduate and graduate level courses in complex variables. First Edition Hb (1997): 0-521-48058-2 First Edition Pb (1997): 0-521-48523-1
InhaltsverzeichnisPart I: 1. Complex numbers and elementary functions; 2. Analytic functions and integration; 3. Sequences, series and singularities of complex functions; 4. Residue calculus and applications of contour integration; Part II: 5. Conformal mapping and applications; 6. Asymptotic evaluation of integrals; 7. Riemann-Hilbert problems; Index.
Pressestimmen'... 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
Untertitel: Introduction and Applications. 'Cambridge Texts in Applied Mathematics'. 2 Rev ed. 160 b/w illus. 350 exercises. Sprache: Englisch.
Verlag: Cambridge University Press
Erscheinungsdatum: April 2003
Seitenanzahl: 660 Seiten