ABSTRACT

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

chapter Chapter 1|28 pages

Introduction

chapter Chapter 2|52 pages

Computer Algebra Systems

chapter Chapter 3|34 pages

Big Number Arithmetic

chapter Chapter 4|34 pages

Polynomial Manipulation

chapter 5|44 pages

Algebraic Simplification

chapter Chapter 6|32 pages

Factorization

chapter Chapter 7|44 pages

Symbolic Integration

chapter Chapter 8|27 pages

Gröbner Bases

chapter Chapter 9|34 pages

Mathematical Correctness