Basic Abstract Algebra
2nd Edition
£56.99
- Date Published: January 1995
- availability: Available
- format: Paperback
- isbn: 9780521466295
£
56.99
Paperback
-
This book represents a complete course in abstract algebra, providing instructors with flexibility in the selection of topics to be taught in individual classes. All the topics presented are discussed in a direct and detailed manner. Throughout the text, complete proofs have been given for all theorems without glossing over significant details or leaving important theorems as exercises. The book contains many examples fully worked out and a variety of problems for practice and challenge. Solutions to the odd-numbered problems are provided at the end of the book. This new edition contains an introduction to lattices, a new chapter on tensor products and a discussion of the new (1993) approach to the celebrated Lasker–Noether theorem. In addition, there are over 100 new problems and examples, particularly aimed at relating abstract concepts to concrete situations.
Customer reviews
Not yet reviewed
Be the first to review
Review was not posted due to profanity
×Product details
- Edition: 2nd Edition
- Date Published: January 1995
- format: Paperback
- isbn: 9780521466295
- length: 508 pages
- dimensions: 236 x 154 x 34 mm
- weight: 0.82kg
- availability: Available
Table of Contents
Preface to the second edition
Preface to the first edition
Glossary of symbols
Part I. Preliminaries:
1. Sets and mappings
2. Integers, real numbers, and complex numbers
3. Matrices and determinants
Part II. Groups:
4. Groups
5. Normal subgroups
6. Normal series
7. Permutation groups
8. Structure theorems of groups
Part III. Rings and Modules:
9. Rings
10. Ideals and homomorphisms
11. Unique factorization domains and euclidean domains
12. Rings of fractions
13. Integers
14. Modules and vector spaces
Part IV. Field Theory:
15. Algebraic extensions of fields
16. Normal and separable extensions
17. Galois theory
18. Applications of Galios theory to classical problems
Part V. Additional Topics:
19. Noetherian and Artinian modules and rings
20. Smith normal form over a PID and rank
21. Finitely generated modules over a PID
22. Tensor products
Solutions to odd-numbered problems
Selected bibliography
Index.
Related Books
related journals
Sorry, this resource is locked
Please register or sign in to request access. If you are having problems accessing these resources please email lecturers@cambridge.org
Register Sign in» Proceed
You are now leaving the Cambridge University Press website. Your eBook purchase and download will be completed by our partner www.ebooks.com. Please see the permission section of the www.ebooks.com catalogue page for details of the print & copy limits on our eBooks.
Continue ×Are you sure you want to delete your account?
This cannot be undone.
Thank you for your feedback which will help us improve our service.
If you requested a response, we will make sure to get back to you shortly.
×