Modern Computer Algebra is a comprehensive text dedicated to the algorithmic foundations powering computer algebra systems. Written by Joachim von zur Gathen and Jürgen Gerhard, this book offers a thorough introduction to the mathematical engines behind these systems, making it an indispensable resource for advanced undergraduate and graduate students in computer science and mathematics. The text features detailed studies of algorithms, complete proofs of the underlying mathematics, and insightful analyses on time complexity. It also includes in-depth implementation reports and a broad spectrum of applications, ranging from coding theory and cryptography to computational logic and the innovative design of calendars and musical scales. With its blend of rigorous theory and engaging historical context, Modern Computer Algebra has established itself as a cornerstone reference in the field, perfectly balancing academic rigor with practical application.
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