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OverviewThis book aims to be a concise introduction to topics in commutative algebra, with an emphasis on worked examples and applications. It combines elegant algebraic theory with applications to number theory, problems in classical Greek geometry, and the theory of finite fields which has important uses in other branches of science. Topics covered include rings and Euclidean rings, the four-squares theorem, fields and field extensions, finite cyclic groups and finite fields. The material covered in this book prepares the way for the further study of abstract algebra, but it could also form the basis of an entire course. Full Product DetailsAuthor: A. W. Chatters (Reader, School of Mathematics, Reader, School of Mathematics, University of Bristol) , C. R. Hajarnavis (Reader in Mathematics, Reader in Mathematics, University of Warwick) , Charudatta Hajarvavis (Reader in Mathematics, University of Warwick)Publisher: Oxford University Press Imprint: Oxford University Press Dimensions: Width: 15.60cm , Height: 0.90cm , Length: 23.40cm Weight: 0.261kg ISBN: 9780198501442ISBN 10: 0198501447 Pages: 152 Publication Date: 07 May 1998 Audience: College/higher education , Tertiary & Higher Education Format: Paperback Publisher's Status: Active Availability: To order  Stock availability from the supplier is unknown. We will order it for you and ship this item to you once it is received by us. Table of Contents1: Rings 2: Euclidean rings 3: Highest common factor 4: The four-squares theorem 5: Fields and polynomials 6: Unique factorization domains 7: Field of quotients of an integral domain 8: Factorization of polynomials 9: Fields and field extensions 10: Finite cyclic groups and finite fields 11: Algebraic numbers 12: Ruler and Compass constructions 13: Homomorphisms, ideals and factor rings 14: Principal ideal domains and a method for constructing fields 15: Finite fields Solutions to selected exercises ReferencesReviewsImmaculately organised, the text glides seamlessly from the concrete to the abstrat; it is carefully written without being pedantic and all of the right motivational and cautinoary noises are made as intuition and feel for each new concept is developed. Author InformationTab Content 6Author Website:Countries AvailableAll regions |
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