An Introduction to Abstract Algebra
1st Edition
Published on 24. January 2003
Book
Paperback/Softback
X, 282 pages
978-3-11-017544-8 (ISBN)
Description
Frontmatter -- Contents -- Chapter 1. Sets, relations and functions -- Chapter 2. The integers -- Chapter 3. Introduction to groups -- Chapter 4. Cosets, quotient groups and homomorphisms -- Chapter 5. Groups acting on sets -- Chapter 6. Introduction to rings -- Chapter 7. Division in rings -- Chapter 8. Vector spaces -- Chapter 9. The structure of groups -- Chapter 10. Introduction to the theory of fields -- Chapter 11. Galois theory -- Chapter 12. Further topics -- Backmatter
Reviews / Votes
"Altogether, this book represents a very gentle, user-friendly and skillful introduction to undergraduate abstract algebra for students in various fields of science. [...] a very experienced teacher has here presented a valuable introductory text on abstract algebra that can universally be used as a source for a one or two semester course on the subject for students in their second or third year of study: Without any doubt, this text is also very suitable for private study and exam preparation of undergraduates."Werner Kleinert in: Zentralblatt MATH 10/2003More details
Other editions
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05/2015
2nd Edition
De Gruyter
€44.95
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Additional editions
E-Book
08/2008
1st Edition
De Gruyter
€54.95
Available for download
Person
Derek J. S. Robinson is Professor of Mathematics at the University of Illinois in Urbana-Champaign, USA.
Content
Sets, Relations and Functions · The Integers · Introduction to Groups · Cosets, Quotient Groups, and Homomorphisms · Groups Acting on Sets · Introduction to Rings · Division in Rings · Vector Spaces · The Structure of Groups · Introduction to the Theory of Fields · Galois Theory · Further Topics · Bibliography · Index of Notation · Index