Advanced Complex Analysis : A Comprehensive Course in Analysis, Part 2B Hardback
by Barry Simon
Hardback
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Description
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.
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Available to Order - This title is available to order, with delivery expected within 2 weeks
- Format:Hardback
- Pages:321 pages
- Publisher:American Mathematical Society
- Publication Date:30/10/2015
- Category:
- ISBN:9781470411015
Information
-
Available to Order - This title is available to order, with delivery expected within 2 weeks
- Format:Hardback
- Pages:321 pages
- Publisher:American Mathematical Society
- Publication Date:30/10/2015
- Category:
- ISBN:9781470411015