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Complex Analysis (Universitext)

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Complex Analysis (Universitext) Cover

 

Synopses & Reviews

Publisher Comments:

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. For the second edition the authors have revised the text carefully.

Synopsis:

This book offers an extensive description of the classical complex analysis, roughly meaning that sheaf theoretical and cohomological methods are omitted. Over 400 exercises are included, and the text has been heavily revised for this new edition.

Synopsis:

All needed notions are developed within the book: with the exception of fundamentals which are presented in introductory lectures, no other knowledge is assumed Provides a more in-depth introduction to the subject than other existing books in this area Over 400 exercises including hints for solutions are included

Table of Contents

Differential Calculus in the Complex Plane C.- Integral Calculus in the Complex Plane.- Sequences and Series of Analytic Functions, the Residue Theorem.- Construction of Analytic Functions.- Elliptic Functions.- Elliptic Modular Forms.- Analytic Number Theory.- Solutions to the Exercises.- References.- Index.

Product Details

ISBN:
9783540939825
Author:
Freitag, Eberhard
Publisher:
Springer
Author:
Busam, Rolf
Subject:
Functional Analysis
Subject:
Complex Analysis
Subject:
Elliptic functions
Subject:
Elliptic Modular Forms
Subject:
Residue Theorem
Subject:
Functions of a complex variable.
Subject:
Mathematics : Functional Analysis
Subject:
Mathematical Analysis
Copyright:
Edition Description:
2nd ed. 2009
Series:
Universitext
Publication Date:
20090528
Binding:
TRADE PAPER
Language:
English
Illustrations:
Y
Pages:
542
Dimensions:
235 x 155 mm

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Related Subjects


» Science and Mathematics » Mathematics » Analysis General
» Science and Mathematics » Mathematics » Calculus » General
» Science and Mathematics » Mathematics » Combinatorics
» Science and Mathematics » Mathematics » Complex Analysis
» Science and Mathematics » Mathematics » Functional Analysis

Complex Analysis (Universitext) New Trade Paper
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Product details 542 pages Springer - English 9783540939825 Reviews:
"Synopsis" by , This book offers an extensive description of the classical complex analysis, roughly meaning that sheaf theoretical and cohomological methods are omitted. Over 400 exercises are included, and the text has been heavily revised for this new edition.
"Synopsis" by , All needed notions are developed within the book: with the exception of fundamentals which are presented in introductory lectures, no other knowledge is assumed Provides a more in-depth introduction to the subject than other existing books in this area Over 400 exercises including hints for solutions are included
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