Normal view MARC view ISBD view

Advanced complex analysis: a comprehensive course in analysis, part 2b

By: Simon, Barry.
Publisher: Hyderabad Universities press 2015Description: xvi, 319 p.ISBN: 9781470437770.Subject(s): Mathematics | Complex analysis - Mathematics | Analytic number theoryDDC classification: 515.8 Summary: 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 Poincaré metric, the Ahlfors-Robinson proof of Picard's theorem, and Bell's proof of the Painlevé 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 Fuchsian 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 Fuchsian differential equations and on asymptotic methods can be viewed as a minicourse on the theory of special functions. http://bookstore.ams.org/simon-2-2/
List(s) this item appears in: Prof. A. K. Laha
Tags from this library: No tags from this library for this title. Add tag(s)
Log in to add tags.
Item type Current location Collection Call number Status Date due Barcode
Books Books Vikram Sarabhai Library
General Stacks
Non Fiction 515.8 S4A2 (Browse shelf) Available 194435

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 Poincaré metric, the Ahlfors-Robinson proof of Picard's theorem, and Bell's proof of the Painlevé 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 Fuchsian 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 Fuchsian differential equations and on asymptotic methods can be viewed as a minicourse on the theory of special functions.


http://bookstore.ams.org/simon-2-2/



There are no comments for this item.

Log in to your account to post a comment.

Powered by Koha