The idea of this book is to give an extensive description of the classical complex analysis, here ”classical” means roughly …
The idea of this book is to give an extensive description of the classical complex analysis, here ''classical'' means roughly that sheaf theoretical and cohomological methods are omitted. The first four chapters cover the essential core of complex analysis presenting their fundamental results. After this standard material, the authors step forward to elliptic functions and to elliptic modular functions including a taste of all most beautiful results of this field. The book is rounded by applications to analytic number theory including distinguished pearls of this fascinating subject as for instance the Prime Number Theorem. Great importance is attached to completeness, all needed notions are developed, only minimal prerequisites (elementary facts of calculus and algebra) are required. More than 400 exercises including hints for solutions and many figures make this an attractive, indispensable book for students who would like to have a sound introduction to classical complex analysis.
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2017年12月4日 - Complex analysis is a nexus for many mathematical fields, including: 1. Algebra (theory of fields and equations); 2.
MATH20101. Complex Analysis. Charles Walkden. School of Mathematics. The University of Manchester. 11th October, 2018...
These notes of my lectures on Complex Analysis at the University of Toronto were ... sequence in complex analysis in our Specialist Program in Mathematics.