Algorithms for Computer Algebra

Authors: Geddes, Keith O., Czapor, Stephen R., Labahn, George

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Hardcover $179.00
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Softcover $149.00
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About this book

Algorithms for Computer Algebra is the first comprehensive textbook to be published on the topic of computational symbolic mathematics. The book first develops the foundational material from modern algebra that is required for subsequent topics. It then presents a thorough development of modern computational algorithms for such problems as multivariate polynomial arithmetic and greatest common divisor calculations, factorization of multivariate polynomials, symbolic solution of linear and polynomial systems of equations, and analytic integration of elementary functions. Numerous examples are integrated into the text as an aid to understanding the mathematical development. The algorithms developed for each topic are presented in a Pascal-like computer language. An extensive set of exercises is presented at the end of each chapter.
Algorithms for Computer Algebra is suitable for use as a textbook for a course on algebraic algorithms at the third-year, fourth-year, or graduate level. Although the mathematical development uses concepts from modern algebra, the book is self-contained in the sense that a one-term undergraduate course introducing students to rings and fields is the only prerequisite assumed. The book also serves well as a supplementary textbook for a traditional modern algebra course, by presenting concrete applications to motivate the understanding of the theory of rings and fields.

Reviews

`The Computer Algebra community has been waiting for years for this book to appear. ...the book is a masterpiece and can be recommended to everyone interested in the algorithms for computer algebra, either as a reference for further research or just to give the casual user an idea why things work as good (or as bad) as they do in computer algebra packages. ...the recommendation would be clear: Buy this book! As it stands now my only advice is to stay away from this book, because you might be tempted to buy it anyway (at least I was).'
Computer Algebra Nederland Newsletter, June 1993

Table of contents (12 chapters)

  • Introduction to Computer Algebra

    Geddes, K. O. (et al.)

    Pages 1-22

  • Algebra of Polynomials, Rational Functions, and Power Series

    Geddes, K. O. (et al.)

    Pages 23-77

  • Normal Forms and Algebraic Representations

    Geddes, K. O. (et al.)

    Pages 79-109

  • Arithmetic of Polynomials, Rational Functions, and Power Series

    Geddes, K. O. (et al.)

    Pages 111-149

  • Homomorphisms and Chinese Remainder Algorithms

    Geddes, K. O. (et al.)

    Pages 151-203

Buy this book

eBook $109.00
price for USA (gross)
  • ISBN 978-0-585-33247-5
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $179.00
price for USA
  • ISBN 978-0-7923-9259-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $149.00
price for USA
  • ISBN 978-1-4757-8323-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Algorithms for Computer Algebra
Authors
Copyright
1992
Publisher
Springer US
Copyright Holder
Springer Science+Business Media New York
eBook ISBN
978-0-585-33247-5
DOI
10.1007/b102438
Hardcover ISBN
978-0-7923-9259-0
Softcover ISBN
978-1-4757-8323-0
Edition Number
1
Number of Pages
XXII, 586
Topics