Algorithms for Computer Algebra

• Main Authors: Geddes, K. O. (Author), Czapor, S. R. (Author), Labahn, G. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic
• Language: English
• Published: Boston, MA : Springer US, 1992.
• Subjects: Mathematics.; Computer science.; Numerical analysis.; Computer science > Mathematics.; Image processing.; Algebra.; Computer software.; Mathematical Software.; Image Processing and Computer Vision.; Symbolic and Algebraic Manipulation.; Numeric Computing.; Computer Science, general.
• Online Access: View fulltext via EzAccess

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 comp...

Table of Contents:

• to Computer Algebra
• Algebra of Polynomials, Rational Functions, and Power Series
• Normal Forms and Algebraic Representations
• Arithmetic of Polynomials, Rational Functions, and Power Series
• Homomorphisms and Chinese Remainder Algorithms
• NewtonỚ"s Iteration and the Hensel Construction
• Polynomial GCD Computation
• Polynomial Factorization
• Solving Systems of Equations
• Gr©œbner Bases for Polynomial Ideals
• Integration of Rational Functions
• The Risch Integration Algorithm.