An Introductory Course in Commutative Algebra

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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)

An Introductory Course in Commutative Algebra

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)

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English

Oxford University Press
01 June 1998

Algebra; Groups & group theory; Number theory; Euclidean geometry

This 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.

By: 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)
Imprint: Oxford University Press
Country of Publication: United Kingdom
Dimensions: Height: 234mm, Width: 156mm, Spine: 9mm
Weight: 261g
ISBN: 9780198501442
ISBN 10: 0198501447
Pages: 152
Publication Date: 01 June 1998
Audience: College/higher education , Primary
Format: Paperback
Publisher's Status: Active

1: 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 References

Reviews for An Introductory Course in Commutative Algebra

Immaculately 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.