ISBN 9788120328709,Abstract Algebra

Abstract Algebra

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ISBN 9788120328709
Publisher

PHI learning Pvt Ltd

Publication Year 2005
ISBN-13

ISBN 9788120328709

ISBN-10 8120328701
Binding

Paperback

Edition 2nd
Number of Pages 372 Pages
Language (English)
Subject

Mathematics

Appropriate for undergraduate courses, this second editionhas a new chapter on lattice theory, many revisions, new solved problems and additional exercises in the chapters on group theory, boolean algebra and matrix theory. The text offers a systematic, well-planned, and elegant treatment of the main themes in abstract algebra. It begins with the fundamentals of set theory, basic algebraic structures such as groups and rings, and special classes of rings and domains, and then progresses to extension theory, vector space theory and finally the matrix theory. The boolean algebra by virtue of its relation to abstract algebra also finds a proper place in the development of the text. The students develop an understanding of all the essential results such as the Cayley's theorem, the Lagrange's theorem, and the Isomorphism theorem, in a rigorous and precise manner. Sufficient numbers of examples have been worked out in each chapter so that the students can grasp the concepts, the ideas, and the results of structure of algebraic objects in a comprehensive way. The chapter-end exercises are designed to enhance the student's ability to further explore and inter-connect various essential notions.

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