The goal of Computer Algebra: Concepts and Techniques is to demystify computer algebra systems for a wide audience including students, faculty, and professionals in scientific fields such as computer science, mathematics, engineering, and physics. Unlike previous books, the only prerequisites are knowledge of first year calculus and a little programming experience - a background that can be assumed of the intended audience. The book is written in a lean and lively style, with numerous examples to illustrate the issues and techniques discussed. It presents the principal algorithms and data structures, while also discussing the inherent and practical limitations of these systems
Autorentext
Edmund A. Lamagna is a professor of computer science at the University of Rhode Island. His professional interests lie at the intersection of computer science and mathematics. In particular, he has contributed to the fields of computer algebra and to the design and analysis of algorithms. In recent years, Ed has become interested in technical and societal aspects of cybersecuity and personal privacy. Throughout his career, he has been involved in the development of innovative approaches for teaching and learning mathematics and computer science.
Klappentext
The goal of Computer Algebra: Concepts and Techniques is to demystify computer algebra systems for a wide audience including students, faculty, and professionals in scientific fields such as computer science, mathematics, engineering, and physics. Unlike previous books, the only prerequisites are knowledge of first year calculus and a little programming experience - a background that can be assumed of the intended audience. The book is written in a lean and lively style, with numerous examples to illustrate the issues and techniques discussed. It presents the principal algorithms and data structures, while also discussing the inherent and practical limitations of these systems
Inhalt
1 Introduction
2 Computer Algebra Systems
3 Big Number Arithmetic
4 Polynomial Manipulation
5 Algebraic Simpli cation
6 Factorization
7 Symbolic Integration
8 Grobner Bases
9 Mathematical Correctness