Complex variables : introduction and applications
著者
書誌事項
Complex variables : introduction and applications
（Cambridge texts in applied mathematics）
Cambridge University Press, 1997
- : pbk
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注記
Includes bibliographical references (p. 637-639) and index
内容説明・目次
内容説明
In addition to being mathematically elegant, complex variables provide a powerful tool for solving problems that are either very difficult or virtually impossible to solve in any other way. 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, numerical methods and more. Part II contains conformal mappings, asymptotic expansions, and the study of Riemann-Hilbert problems. The authors also provide an extensive array of applications, illustrative examples and homework exercises. This book is ideal for use in introductory undergraduate and graduate level courses in complex variables.
目次
- Part 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.
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