
Complex Analysis
Springer (Publisher)
Published on 4. November 2005
Book
Paperback/Softback
X, 552 pages
978-3-540-25724-0 (ISBN)
Article exhausted; check for reprint
Description
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
Reviews / Votes
From the reviews:"The guiding principle of the presentation of classical complex analysis is to proceed as quickly as possible to the central results while using a small number of notions and concepts from other fields. Thus the prerequisites for understanding this book are minimal; only elementary facts of calculus and algebra are required. . Motivating introductions, more than four hundred exercises of all levels of difficulty with hints or solutions, historical annotations, and over 120 figures make the overall presentation very attractive." (L'Enseignement Mathematique, Vol. 52 (2), 2006)"The first four chapters cover the essential core of complex analysis . . The second part of the book is devoted to an extensive representation of the theory of elliptic functions . . Interesting introductions, over four hundred exercises with hints or solutions, historical remarks, and over 120 figures make this book very appropriate and attractive for students at all levels." (F. Haslinger, Monatshefte für Mathematik, Vol. 149 (3), 2006)"It is, in fact, a massive introduction to complex analysis, covering a very wide range of topics. . This is the material that I like to cover in an undergraduate course. . Theorems and proofs are clearly delimited, which many students find helpful. . There are problems at the end of each section, and sketches of solutions are given . . Overall, this is quite an attractive book." (Fernando Q. Gouvêa, MathDL, February, 2006)"This book gives an extensive presentation of the theory of classical complex analysis. . The book is richly illustrated with a lot of exercises (more than 400), including solutions . with a wide range of levels of difficulties. The historical annotations, the large amount of figures and the helpful abstracts at the beginning of each chapter make this book very attractive. . recommended to graduated (or advanced undergraduated) students who wish to proceed quickly to the main results of complex analysis." (Samuel Nicolay, Bulletin of the Belgian Mathematical Society, Vol. 15 (1), 2008)More details
Series
Language
English
Place of publication
Heidelberg
Germany
Publishing group
Springer Berlin
Target group
College/higher education
Professional and scholarly
Students in Mathematics and Physics
Illustrations
2
110 s/w Abbildungen, 2 farbige Abbildungen
110 black & white illustrations, 2 colour illustrations, 1 black & white halftones, 2 colour illustrations, 109 black & white line drawings
Dimensions
Height: 23.4 cm
Width: 15.6 cm
Weight
842 gr
ISBN-13
978-3-540-25724-0 (9783540257240)
DOI
10.1007/3-540-30823-7
Schweitzer Classification
Other editions
New editions

Eberhard Freitag | Rolf Busam
Complex Analysis
Book
04/2009
2nd Edition
Springer
€80.24
Shipment within 10-15 days
Additional editions

Eberhard Freitag | Rolf Busam
Complex Analysis
E-Book
01/2006
1st Edition
Springer
€46.99
Available for download
Content
Differential Calculus in the Complex Plane ?.- 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.