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An Introductory Course in Commutative - Paperback, by Chatters A. W. - Very Good
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N.º de artículo de eBay:404347847764
Última actualización el 14 jun 2025 12:35:41 H.EspVer todas las actualizacionesVer todas las actualizaciones
Características del artículo
- Estado
- Book Title
- An Introductory Course in Commutative Algebra (Oxford Science Pub
- ISBN
- 9780198501442
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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
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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