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Polynomial Algorithms in Computer Algebra
 
 

Polynomial Algorithms in Computer Algebra [Paperback]

Franz Winkler

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The book gives a thorough introduction to the mathematical underpinnings of computer algebra. The subjects treated range from arithmetic of integers and polynomials to fast factorization methods, Gröbner bases, and algorithms in algebraic geometry. The algebraic background for all the algorithms presented in the book is fully described, and most of the algorithms are investigated with respect to their computational complexity. Each chapter closes with a brief survey of the related literature.

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In the recent decades it has been more and more realized that computers are of enormous importance for numerical computations. Read the first page
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Amazon.com: 3.0 out of 5 stars (1 customer review)

6 of 6 people found the following review helpful
3.0 out of 5 stars Not a book for the weak of (algebraic) heart, Aug 25 2000
By David R. Koes - Published on Amazon.com
This review is from: Polynomial Algorithms in Computer Algebra (Paperback)
Winkler presents an extremely concise overview of the major algorithms of polynomial algebra. In order to understand the text fully you must have a very strong background in abstract algebra. Even then you'll probably find yourself re-reading sections of the book in an attempt to reach an understanding. The advantage of this book over more explanatory texts (like Geddes) comes from the meticulous quality of the proofs and algorithms.
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