Complex Analysis

by Eberhard Freitag, Rolf Busam

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.

Genres: Mathematics, Science

552 pages, Kindle Edition

First published January 1, 2005

Reviews

[Tech Nossomy · Rating 4 out of 5]

Good university/introductory textbook on complex analysis.

Though the information is presented with much clarity and is free of frivolity, there are a number of drawbacks:
1- Index is incomplete, sometimes even points to information given in the exercises as opposed to the text itself.
2- Some images are so small, that the text within is hard to read.
3- Concepts like Mobius transformation and Fourier transformation are explained at multiple points in the text, thereby breaking the flow of the exposition.

Supplement to formula III.2.2 contains a typo: should raise to power n+1.

[Coda Di Lupo · Rating 3 out of 5]

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