Computer Algebra

This textbook introduces computer algebra systems and programming mathematical algorithms, covering topics like integer and polynomial arithmetic, modular arithmetic, and advanced concepts, making it a valuable resource for students and educators.

Computer Algebra serves as a comprehensive introduction to the field of computer algebra systems, focusing on the programming of mathematical algorithms. The book begins by familiarizing readers with the fundamentals of computer algebra systems and integer arithmetic. It emphasizes an algorithmic approach, making it accessible for students in mathematics and computer science with only a basic understanding of calculus and linear algebra.

The author, a recognized expert in the field, provides numerous hands-on tutorials that encourage practical skill development and enhance algorithmic thinking. This implementation-focused methodology equips readers with versatile tools applicable to various areas, including mathematical theory, real-world applications, and educational contexts. The book is supported by downloadable sessions in Mathematica, Maple, and Maxima, allowing for interactive learning and exploration.

As the text progresses, it delves into more advanced topics such as modular arithmetic, polynomial arithmetic, and algebraic numbers. Modern algorithms are introduced to efficiently factor polynomials, while later chapters cover simplification, normal forms, power series, summation formulas, and integration. With its clear examples and online support materials, Computer Algebra is an essential resource for students and educators alike, making it a valuable reference for anyone looking to deepen their understanding of algorithms in computer algebra.