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Paperback. Etat : New. Print on Demand. This book investigates a family of polynomial sequences known as polynomial remainder sequences. The concept of a polynomial remainder sequence is rooted in ancient mathematics and has applications in diverse fields like elimination theory, Diophantine equations, and algebraic cell decomposition. The author explores the theoretical underpinnings of these sequences and introduces a new algorithm for computing them. The book also presents a detailed examination of the theory of subresultants, which are intimately connected with polynomial remainder sequences and provide important insights into their structure and behavior. Through this exploration, the author unveils the intricate relationship between subresultants and the Euclidean polynomial remainder sequence, offering a deeper understanding of these fundamental mathematical constructs. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item.