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Theory of Functions, Parts I and II (Dover Books on Mathematics) (Pts. 1 & 2)

4.4 out of 5 stars 5 customer reviews
ISBN-13: 080-0759692194
ISBN-10: 0486692191
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  • Theory of Functions, Parts I and II (Dover Books on Mathematics) (Pts. 1 & 2)
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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: 4.4 out of 5 stars  See all reviews (5 customer reviews)
  • Amazon Best Sellers Rank: #459,073 in Books (See Top 100 in Books)

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Customer Reviews

Top Customer Reviews

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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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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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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Format: Paperback Verified Purchase
Good for math purists but a little too detailed for me.
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Excellent
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Theory of Functions, Parts I and II (Dover Books on Mathematics) (Pts. 1 & 2)
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