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Item Details
| Title:
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ADVANCED COMPLEX ANALYSIS
A COMPREHENSIVE COURSE IN ANALYSIS |
| Volume: |
Part 2B |
| By: |
Barry Simon |
| Format: |
Hardback |
| List price:
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£87.00 |
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We currently do not stock this item, please contact the publisher directly for
further information.
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| ISBN 10: |
1470411016 |
| ISBN 13: |
9781470411015 |
| Publisher: |
AMERICAN MATHEMATICAL SOCIETY |
| Pub. date: |
30 October, 2015 |
| Pages: |
321 |
| Synopsis: |
A Comprehensive Course in Analysis by Poincare Prize winner Barry Simon is a five-volume set that can serve as a graduate-level analysis textbook with a lot of additional bonus information, including hundreds of problems and numerous notes that extend the text and provide important historical background. Depth and breadth of exposition make this set a valuable reference source for almost all areas of classical analysis. Part 2B provides a comprehensive look at a number of subjects of complex analysis not included in Part 2A. Presented in this volume are the theory of conformal metrics (including the Poincare metric, the Ahlfors-Robinson proof of Picard's theorem, and Bell's proof of the Painleve smoothness theorem), topics in analytic number theory (including Jacobi's two- and four-square theorems, the Dirichlet prime progression theorem, the prime number theorem, and the Hardy-Littlewood asymptotics for the number of partitions), the theory of Fuschian differential equations, asymptotic methods (including Euler's method, stationary phase, the saddle-point method, and the WKB method), univalent functions (including an introduction to SLE), and Nevanlinna theory.The chapters on Fuschian differential equations and on asymptotic methods can be viewed as a minicourse on the theory of special functions. |
| Publication: |
US |
| Imprint: |
American Mathematical Society |
| Returns: |
Returnable |
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