Algorithms for Computer Algebra provides a complete introduction to the field of computational symbolic mathematics. The text begins by establishing the essential principles of modern algebra and gradually builds up to advanced computational methods. Readers are introduced to topics such as multivariate polynomial arithmetic, greatest common divisor computations, factorization of polynomials, symbolic resolution of linear and polynomial systems, and the analytic integration of elementary functions. The book is enriched with numerous examples integrated throughout the chapters to aid in understanding the mathematical development. Each algorithm is illustrated in a Pascal-like notation, and a comprehensive set of exercises concludes every chapter, reinforcing the theoretical and practical aspects of the material. With its accessible yet rigorous approach, Algorithms for Computer Algebra is well suited for advanced undergraduate and graduate courses as well as serving as a valuable supplement to traditional modern algebra studies.
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