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Abstract Algebra by David S. Dummit and Richard M. Foote (2003, Hardcover)
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By David S. Dummit and Richard M. Foote. Abstract Algebra. Like New A book that looks new but has been read. Cover has no visible wear, and the dust jacket (if applicable) is included for hard covers.
- Buy it nowAbstract Algebra by David S. Dummit and Richard M. Foote 2003 Hardcover
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About this product
Product Identifiers
PublisherWiley & Sons, Incorporated, John
ISBN-100471433349
ISBN-139780471433347
eBay Product ID (ePID)4517553
Product Key Features
Number of Pages944 Pages
LanguageEnglish
Publication NameAbstract Algebra
Publication Year2003
SubjectAlgebra / Abstract, Algebra / General
FeaturesRevised
TypeTextbook
AuthorDavid S. Dummit, Richard M. Foote
Subject AreaMathematics
FormatHardcover
Dimensions
Item Height1.6 in
Item Weight53.7 Oz
Item Length9.3 in
Item Width7.8 in
Additional Product Features
Edition Number3
Intended AudienceCollege Audience
LCCN2003-057652
Dewey Edition22
IllustratedYes
Dewey Decimal512/.02
Edition DescriptionRevised edition
Table Of ContentPreface. Preliminaries. PART I: GROUP THEORY. Chapter 1. Introduction to Groups. Chapter 2. Subgroups. Chapter 3. Quotient Group and Homomorphisms. Chapter 4. Group Actions. Chapter 5. Direct and Semidirect Products and Abelian Groups. Chapter 6. Further Topics in Group Theory. PART II: RING THEORY. Chapter 7. Introduction to Rings. Chapter 8. Euclidean Domains, Principal Ideal Domains and Unique Factorization Domains. Chapter 9. Polynomial Rings. PART III: MODULES AND VECTOR SPACES. Chapter 10. Introduction to Module Theory. Chapter 11. Vector Spaces. Chapter 12. Modules over Principal Ideal Domains. PART IV: FIELD THEORY AND GALOIS THEORY. Chapter 13. Field Theory. Chapter 14. Galois Theory. PART V: AN INTRODUCTION TO COMMUTATIVE RINGS, ALGEBRAIC GEOMETRY, AND HOMOLOGICAL ALGEBRA. Chapter 15. Commutative Rings and Algebraic Geometry. Chapter 16. Artinian Rings, Discrete Valuation Rings, and Dedekind Domains. Chapter 17. Introduction to Homological Algebra and Group Cohomology. PART VI: INTRODUCTION TO THE REPRESENTATION THEORY OF FINITE GROUPS. Chapter 18. Representation Theory and Character Theory. Chapter 19. Examples and Applications of Character Theory. Appendix I: Cartesian Products and Zorn's Lemma. Appendix II: Category Theory. Index.
SynopsisWidely acclaimed algebra text. This book is designed to give the reader insight into the power and beauty that accrues from a rich interplay between different areas of mathematics. The book carefully develops the theory of different algebraic structures, beginning from basic definitions to some in-depth results, using numerous examples and exercises to aid the reader's understanding. In this way, readers gain an appreciation for how mathematical structures and their interplay lead to powerful results and insights in a number of different settings. * The emphasis throughout has been to motivate the introduction and development of important algebraic concepts using as many examples as possible., Widely acclaimed algebra text. This book is designed to give the reader insight into the power and beauty that accrues from a rich interplay between different areas of mathematics., This revision of Dummit and Foote's widely acclaimed introduction to abstract algebra helps students experience the power and beauty that develops from the rich interplay between different areas of mathematics. The book carefully develops the theory of different algebraic structures, beginning from basic definitions to some in-depth results, using numerous examples and exercises to aid the student's understanding. With this approach, students gain an appreciation for how mathematical structures and their interplay lead to powerful results and insights in a number of different settings. The text is designed for a full-year introduction to abstract algebra at the advanced undergraduate or graduate level, but contains substantially more material than would normally be covered in one year. Portions of the book may also be used for various one-semester topics courses in advanced algebra, each of which would provide a solid background for a follow-up course delving more deeply into one of many possible areas: algebraic number theory, algebraic topology, algebraic geometry, representation theory, Lie groups, etc.
LC Classification NumberQA162.D85 2004
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Ratings and reviews
Most relevant reviews
- 01 Aug, 2018
Very interesting book on algebra!
Verified purchase: YesCondition: New
- 17 Jun, 2023
Recommended Abstract Algebra textbook
The book is thorough and has an abundance of it’s subject in it.Verified purchase: YesCondition: New
