Algorithms for Computer Algebra

by Keith O. Geddes, Stephen R. Czapor, George Labahn

Preface. 1. Introduction to Computer Algebra. 2. Algebra of Polynomials, Rational Functions, and Power Series. 3. Normal Forms and Algebraic Representations. 4. Arithmetic of Polynomial, Rational Functions, and Power Series. 5. Homomorphisms and Chinese Remainder Algorithms. 6. Newton's Iteration and the Hensel Construction. 7. Polynomials GCD Computation. 8. Polynomial Factorization. 9. Solving Systems of Equation. 10. Grobner Bases for Polynomial Ideals. 11. Integration of Rational Functions. 12. The Risch Integration Algorithm. Notation. Index.

Genres: Mathematics

Kindle Edition

First published January 1, 1992

Reviews

[Mitchell Holt · Rating 5 out of 5]

This book is fantastic! I read the chapters on symbolic integration and they were very clear, always explaining motivations and giving full derivations for the algorithms described. The level of detail in the proofs is fantastic. This book is very approachable for anyone with an undergraduate-level understanding of algebra and I cannot recommend it highly enough.