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OverviewA new approach to conveying abstract algebra, the area that studies algebraic structures, such as groups, rings, fields, modules, vector spaces, and algebras, that is essential to various scientific disciplines such as particle physics and cryptology. It provides a well written account of the theoretical foundations; also contains topics that cannot be found elsewhere, and also offers a chapter on cryptography. End of chapter problems help readers with accessing the subjects. This work is co-published with the Heldermann Verlag, and within Heldermann's Sigma Series in Mathematics. Full Product DetailsAuthor: Celine Carstensen , Benjamin Fine , Gerhard RosenbergerPublisher: De Gruyter Imprint: De Gruyter Dimensions: Width: 17.00cm , Height: 2.00cm , Length: 24.00cm Weight: 0.646kg ISBN: 9783110250084ISBN 10: 311025008 Pages: 377 Publication Date: 28 January 2011 Audience: College/higher education , Tertiary & Higher Education , Tertiary & Higher Education 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 Contents 1 Groups, Rings and Fields 2 Maximal and Prime Ideals 3 Prime Elements and Unique Factorization Domains 4 Polynomials and Polynomial Rings 5 Field Extensions 6 Field Extensions and Compass and Straightedge Constructions 7 Kronecker's Theorem and Algebraic Closures 8 Splitting Fields and Normal Extensions 9 Groups, Subgroups and Examples 10 Normal Subgroups, Factor Groups and Direct Products 11 Symmetric and Alternating Groups 12 Solvable Groups 13 Groups Actions and the Sylow Theorems 14 Free Groups and Group Presentations 15 Finite Galois Extensions 16 Separable Field Extensions 17 Applications of Galois Theory 18 The Theory of Modules 19 Finitely Generated Abelian Groups 20 Integral and Transcendental Extensions 21 The Hilbert Basis Theorem and the Nullstellensatz 22 Algebraic CryptographyReviewsAuthor InformationCeline ?Carstensen, Volkswohlbund Insurance, Dortmund, Germany;Benjamin Fine, Fairfield University, Connecticut, USA; Gerhard Rosenberger, Universitat Hamburg, Germany. Tab Content 6Author Website:Countries AvailableAll regions |
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