Description
The Orient Blackswan Advanced Complex Analysis: A Comprehensive Course In Analysis Part 2B by Barry Simon
A Comprehensive Course In Analysis By Poincare Prize Winner Br>Barry Simon Is A Five-Volume Set That Can Serve As A Graduate-Level Analysis Textbook With A Lot Of Additional < Em> 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.≪ Br/> 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 PicardS Theorem And Bells Proof Of The Painlevé Smoothness Theorem) Topics In Analytic Number Theory (Including JacobiS Two- And Foursquare Theorems The Dirichlet Prime Progression Theorem The Prime Number Theorem And The Hardy-Littlewood Asymptotic For The Number Of Partitions) The Theory Of Fuchsian Differential Equations Asymptotic Methods (Including Eulers Method Stationary Phase The Saddle-Point Method And The Web 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. .