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Complex Analysis (Universitext)

Complex Analysis (Universitext)

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Authors: Eberhard Freitag, Rolf Busam
Publisher: Springer
Category: Book

List Price: $49.95
Buy New: $38.26
You Save: $11.69 (23%)



New (16) Used (8) from $30.00

Rating: 4.0 out of 5 stars 2 reviews
Sales Rank: 578493

Media: Paperback
Edition: 1
Pages: 552
Number Of Items: 1
Shipping Weight (lbs): 1.8
Dimensions (in): 9.2 x 6.1 x 0.9

ISBN: 3540257241
Dewey Decimal Number: 515.9
EAN: 9783540257240

Publication Date: December 19, 2005
Availability: Usually ships in 1-2 business days
Shipping: Expedited shipping available
Shipping: International shipping available
Condition: New Book. International Shipping Available

Accessories:

  • Sharp Real-Part Theorems: A Unified Approach (Lecture Notes in Mathematics)
  • Bounded Analytic Functions (Graduate Texts in Mathematics)

Similar Items:

  • A Second Course in Complex Analysis (Dover Books on Mathematics)
  • Function Theory on Planar Domains: A Second Course in Complex Analysis (Dover Books on Mathematics)
  • Complex Analysis (Princeton Lectures in Analysis)
  • Complex Analysis
  • Complex Variables: Second Edition

Editorial Reviews:

Product Description

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.




Customer Reviews:

5 out of 5 stars see review   June 26, 2006
chicken head cut off (Gainesville/Orsay France)
7 out of 8 found this review helpful

I was truly delighted to find this text. It starts off with ordinary complex analysis at the level of sophomore undergraduate students and proceeds well into graduate-level complex analysis (analytic number theory, elliptic functions, abels theorem, etc). The 'advanced' results are shown using standard methods, so it was a great way for someone who learned the nuts and bolts of contour integration to move into theta functions, the prime number theorem, etc etc...fun stuff.


3 out of 5 stars Excellent book/Terrible translation   January 24, 2008
Erik Wallace
9 out of 9 found this review helpful

This book was originally written in German, and the German version is just incredible: a real gem. Good reason to translate it! Unfortunately, this is one of the worst translations from German I have seen. Some of it is just awkward grammar, which the reader may be able to ignore. But, there are also some words and phrases which are translated incorrectly.
For example "Paragraphen" in German does not mean paragraph in English, it means section. But in this book it is translated as paragraph. Try looking for something at the end of a paragraph or in the previous paragraph, when you should actually be looking at the end of the section or in the previous section. An example of this can be found in the explanation of the addition theorem for complex exponents (p. 27). The English text claims there is a remark concerning this at the end of the "paragraph." The paragraph ends and there is no remark. Turn to the end of the section (p. 31) and you will find the remark just above the exercises.
My advice is, if you can read German, get the German version! If you can't read German, you can still get the English version, but you will have to be very patient with the mistakes incurred in the translation (not to be found in the German original). If you own this book, you should systematically go through it and replace "paragraph" everywhere with "section." Most of the other translation mistakes can be figured out by context.


 
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