Rings and Fields

Name: Rings and Fields
Price: 130.09 USD
Availability: InStock
ISBN: 9780198534556

ISBN-10: 0198534558

ISBN-13: 9780198534556

Edition: 1992

Authors: Graham Ellis

List price: $125.00

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This accessible introduction to the mathematics of rings and fields shows how algebraic techniques can be used to solve many difficult problems. The book is carefully organized. Prerequisite mathematical skills are introduced at the beginning, and each chapter opens with an introduction to a problem followed by the development of the algebraic techniques necessary for its solution, using concrete mathematical and non-mathematical examples. Although prior knowledge of group theory is not required, a chapter is included which states the axiom for a group and proves the group theoretic results needed in Galois theory. The work is intended for advanced students and researchers in mathematics,…

Book details

List price: $125.00
Copyright year: 1992
Publisher: Oxford University Press, Incorporated
Publication date: 1/28/1993
Binding: Hardcover
Pages: 178
Size: 6.14" wide x 9.21" long x 0.59" tall
Weight: 0.924
Language: English




Diophantine Equations: Euclidean Domains



Construction of Projective Planes: Splitting Fields and Finite Fields



Error Codes: Primitive Elements and Subfields



Construction of Primitive Polynomials: Cyclotomic Polynomials and Factorization



Ruler and Compass Constructions: Irreducibility and Constructibility



Pappus' Theorem and Desargues' Theorem in Projective Planes: Wedderburn's Theorem



Solution of Polynomials by Radicals: Galois Groups



Introduction to Groups



Cryptography: Elliptic Curves and Factorization