ADVANCED COMPLEX ANALYSIS: A COMPREHENSIVE COURSE IN ANALYSIS PART 2B

A Comprehensive Course In Analysis By Poincare Prize Winner Br>Barry Simon Is A FiveVolume Set That Can Serve As A GraduateLevel 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. 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 AhlforsRobinson Proof Of PicardS Theorem, And Bells Proof Of The Painlev Smoothness Theorem), Topics In Analytic Number Theory (Including JacobiS Two And Foursquare Theorems, The Dirichlet Prime Progression Theorem, The Prime Number Theorem, And The HardyLittlewood Asymptotic For The Number Of Partitions), The Theory Of Fuchsian Differential Equations, Asymptotic Methods (Including Eulers Method, Stationary Phase, The SaddlePoint 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..