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OverviewThe theory of finite fields encompasses algebra, combinatorics, and number theory and has furnished widespread applications in other areas of mathematics and computer science. This book is a collection of selected topics in the theory of finite fields and related areas. The topics include basic facts about finite fields, polynomials over finite fields, Gauss sums, algebraic number theory and cyclotomic fields, zeros of polynomials over finite fields, and classical groups over finite fields. The book is mostly self-contained, and the material covered is accessible to readers with the knowledge of graduate algebra; the only exception is a section on function fields. Each chapter is supplied with a set of exercises. The book can be adopted as a text for a second year graduate course or used as a reference by researchers. Full Product DetailsAuthor: Xiang-dong HouPublisher: American Mathematical Society Imprint: American Mathematical Society Weight: 0.590kg ISBN: 9781470442897ISBN 10: 1470442892 Pages: 240 Publication Date: 30 July 2018 Audience: Professional and scholarly , Professional & Vocational Format: Hardback Publisher's Status: Active Availability: In Print  This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us. Table of ContentsPolynomials over finite fields Gauss sums Algebraic number theory Zeros of polynomials over finite fields Classical groups Bibliography List of notation IndexReviewsAuthor InformationXiang-dong Hou, University of South Florida, Tampa, FL. Tab Content 6Author Website:Countries AvailableAll regions |
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