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Theory of Functions, Parts I and II (Dover Books on Mathematics) (Pts. 1 & 2) Paperback – August 12, 1996

ISBN-13: 978-0486692197 ISBN-10: 0486692191

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Editorial Reviews

Language Notes

Text: English (translation)
Original Language: German
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Product Details

  • Series: Dover Books on Mathematics
  • Paperback: 320 pages
  • Publisher: Dover Publications (August 12, 1996)
  • Language: English
  • ISBN-10: 0486692191
  • ISBN-13: 978-0486692197
  • Product Dimensions: 5.4 x 0.6 x 8 inches
  • Shipping Weight: 10.4 ounces (View shipping rates and policies)
  • Average Customer Review: 4.7 out of 5 stars  See all reviews (3 customer reviews)
  • Amazon Best Sellers Rank: #799,698 in Books (See Top 100 in Books)

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35 of 37 people found the following review helpful By randolph best on July 11, 2002
Format: Paperback
This elegant little book covers the elements of a senior or 1st year graduate course on complex analysis, although a really good mathematics program like at Berkeley may look upon it as providing some material for a junior course in advanced calculus. It is not a new book, i.e. it predates the space age and computers, but the material is timeless and fundamental. Highly recommended for those who want some exposure to a first-class style in mathematics.
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30 of 32 people found the following review helpful By A. Reader on November 29, 2011
Format: Paperback Verified Purchase
I have yet to work through the book, but its place in Knopp's original five-volume sequence was not apparent from Amazon's or Dover's product descriptions, so I list the entire sequence here (Dover English editions, translated from the German originals), followed by the tables of contents, which I had difficulty finding in one place:

Volume 1: Elements of the Theory of Functions, ISBN-10: 0486601544, ISBN-13: 978-0486601540; this volume is cited as a prerequisite on page 1 the next volume. Unfortunately it is out of print but used copies (or substitutes) can be found.

Volumes 2 and 3 (the current book): Theory of Functions, Parts I and II (Dover Books on Mathematics) (Pts. 1 & 2). ISBN-10: 0486692191, ISBN-13: 978-0486692197

Volumes 4 and 5: Problem Book in the Theory of Functions (Dover Books on Mathematics). ISBN-10: 0486414515, ISBN-13: 978-0486414515.

Volume 1 (Elements of the Theory of Functions) Table of Contents:
------------------------------------------------------------
Section I. Complex Numbers and their Geometric Representation

Chapter I. Foundations
1. Introduction
2. The system of real numbers
3. Pointgs and vectors of the plane

Chapter II. The System of Complex Numbers and the Gaussian Plane of Numbers
4. Historical remarks
5. Introduction of complex numbers. Notation
6. Equality and inequality
7. Addition and subtraction
8. Multiplication and division
9. Derived rules. Powers
10.
Read more ›
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19 of 25 people found the following review helpful By marcos on June 20, 2000
Format: Paperback
Despite not being a very recent book, a graduate student of mathematics who has to prepare complex analysis as a general topic for his qualifying examinations may find that this text covers all the essential material in the subject.
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Theory of Functions, Parts I and II (Dover Books on Mathematics) (Pts. 1 & 2) + Problem Book in the Theory of Functions (Dover Books on Mathematics) + Theory and Application of Infinite Series (Dover Books on Mathematics)
Price for all three: $36.27

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