Computer Algebra

Author: Wang Dongming
Publisher:
Publish Date: 2004-08-01
Features: This book introduces the basic concepts, methods, software, and some applications of computer algebra. The book is divided into 8 chapters, discussing the representation and basic operations of large integers and polynomials, resultants and subresultants, modular methods and the greatest common divisor of polynomials, p-adic methods and polynomial factorization, characteristic column methods, Groebner basis methods, and quantifier elimination over real closed fields. The appendix summarizes various computer algebra systems. The book focuses on fundamental knowledge, classical results, and famous algorithms, but also includes some new research findings. It can serve as a textbook for senior undergraduate and graduate students in mathematics and computer science departments of universities, as well as a reference for relevant scientific research and engineering technical personnel.