Advanced Complex Analysis - A Comprehensive Course in Analysis, Part 2B (Hardcover)

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.

General

Imprint:	American Mathematical Society
Country of origin:	United States
Release date:	September 2015
Authors:	Barry Simon
Dimensions:	254 x 178 x 22mm (L x W x T)
Format:	Hardcover
Pages:	321
ISBN-13:	978-1-4704-1101-5
Categories:	Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Complex analysis
LSN:	1-4704-1101-6
Barcode:	9781470411015

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