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Modern Computer Algebra

ISBN-10: 0521826462

ISBN-13: 9780521826464

Edition: 2nd 2003 (Revised)

Authors: Joachim Von Zur Gathen, J�rgen Gerhard

List price: $123.00
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Description:

Computer algebra systems are gaining more and more importance in all areas of science and engineering. This textbook gives a thorough introduction to the algorithmic basis of the mathematical engine in computer algebra systems.
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Book details

List price: $123.00
Edition: 2nd
Copyright year: 2003
Publisher: Cambridge University Press
Publication date: 7/3/2003
Binding: Hardcover
Pages: 800
Size: 7.25" wide x 10.00" long x 1.75" tall
Weight: 3.894
Language: English

J�rgen Gerhard has a PhD from Universit�t Paderborn. He is now Director of Research at Maplesoft in Canada, where he leads research collaborations with partners in Canada, France, Russia, Germany, the USA and the UK, as well as a number of consulting projects for global players in the automotive industry.

Introduction
Cyclohexane, cryptography, codes and computer algebra
Euclid
Fundamental algorithms
The Euclidean algorithm
Applications of the Euclidean algorithm
Modular algorithms and interpolation
The resultant and gcd computation
Application: Decoding BCH codes
Newton
Fast multiplication
Newton iteration
Fast polynomial evaluation and interpolation
Fast Euclidean algorithm
Fast linear algebra
Fourier transform and image compression
Gauss
Factoring polynomials over finite fields
Hensel lifting and factoring polynomials
Short vectors in lattices
Applications of basis reduction
Fermat
Primality testing
Factoring integers
Application: Public key cryptography
Hilbert
Gr�bner bases
Symbolic integration
Symbolic summation
Applications
Appendix
Fundamental concepts
Sources of illustrations
Sources of quotations
List of algorithms
List of figures and tables
References
List of notation
Index