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ABSTRACT ALGEBRA

Number of page: 372
Author: DIPAK CHATTERJEE
Publisher: PHI Learning Pvt. Ltd.
ISBN: 8120328701
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Category: Mathematics

Appropriate for undergraduate courses, this second edition has 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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About The Author

DIPAK CHATTERJEE, Ph.D., is Principal, Institute of Engineering and Management, Kolkata. Earlier, he served as distinguished professor of mathematics at St. Xavier’s college, Kolkata and also visiting professor at many universities, engineering colleges, and management institutions. He has several years of experience of teaching undergraduate and postgraduate students. Dr. Chatterjee has contributed a large number of research articles in different journals and also authored several textbooks.


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