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An Introductory Course in Commutative - Paperback, by Chatters A. W. - Very Good

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Item specifics

Condition
Very Good: A book that has been read and does not look new, but is in excellent condition. No ...
Book Title
An Introductory Course in Commutative Algebra (Oxford Science Pub
ISBN
9780198501442

About this product

Product Identifiers

Publisher
Oxford University Press, Incorporated
ISBN-10
0198501447
ISBN-13
9780198501442
eBay Product ID (ePID)
941255

Product Key Features

Number of Pages
152 Pages
Language
English
Publication Name
Introductory Course in Commutative Algebra
Publication Year
1998
Subject
Algebra / Abstract, Algebra / General
Type
Textbook
Subject Area
Mathematics
Author
C. R. Hajarnavis, A. W. Chatters
Format
Uk-Trade Paper

Dimensions

Item Height
0.4 in
Item Weight
9.2 Oz
Item Length
9.2 in
Item Width
6.1 in

Additional Product Features

Intended Audience
College Audience
LCCN
97-049207
Dewey Edition
21
TitleLeading
An
Reviews
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.
Illustrated
Yes
Dewey Decimal
512.2/4
Table Of Content
1. Rings2. Euclidean rings3. Highest common factor4. The four-squares theorem5. Fields and polynomials6. Unique factorization domains7. Field of quotients of an integral domain8. Factorization of polynomials9. Fields and field extensions10. Finite cyclic groups and finite fields11. Algebraic numbers12. Ruler and Compass constructions13. Homomorphisms, ideals and factor rings14. Principal ideal domains and a method for constructing fields15. Finite fieldsSolutions to selected exercisesReferences
Synopsis
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 finitefields. 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., 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., This book is a concise account of topics in commutative algebra. It combines elegant theory with applications to number theory, some problems of classical Greek geometry, and the theory of finite fields which has important uses in other branches of science. The material covered prepares the way for the study of more advanced abstract algebra, but could also form an entire course in itself., The authors provide a concise introduction to topics in commutative algebra, with an emphasis on worked examples and applications. Their treatment 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 can serve equally well as a textbook for an entire course or as preparation for the further study of abstract algebra.
LC Classification Number
QA251.3.C53 1998

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