Abstract Algebra with Applications provides a friendly and concise introduction to algebra, with an emphasis on its uses in the modern world. The first part of this book covers groups, after some preliminaries on sets, functions, relations, and induction, and features applications such as public-key
Abstract Algebra with Applications
β Scribed by Norman J. Bloch
- Publisher
- Prentice-Hall
- Year
- 1987
- Tongue
- English
- Leaves
- 450
- Edition
- 1
- Category
- Library
No coin nor oath required. For personal study only.
β¦ Table of Contents
Front cover
Title
Contents
Preface
1. Preliminaries
2. Groups
3. Subgroups
4. Classification Properties of Groups
5. The Group C
6. The Groups Z_n
7. Permutation Groups
8. Isomorphism
9. Direct Products
10. The Fundamental Theorem of Finite Abelian Groups
11. Lagrangeβs Theorem
12. Group Homomorphisms
13. Factor Groups
14. Geometric and Matrix Groups
15. An Introduction to Coding Theory
16. Counting
17. Sylow Theorems
18. Lattices of Subgroups
19. Rings and Subrings
20. Classification Properties of Rings
21. Polynomial Rings
22. Ring Homomorphisms
23. Untitled
24. Extension Fields
25. Unique Factorization
26. Polynomial Codes
27. Lattices and Boolean Algebras
28. Introduction to Galois Theory
Appendix: Matrices and Vector Spaces
References
Answers and Suggestions for Selected Exercises
Index
π SIMILAR VOLUMES
Abstract Algebra with Applications provides a friendly and concise introduction to algebra, with an emphasis on its uses in the modern world. The first part of this book covers groups, after some preliminaries on sets, functions, relations, and induction, and features applications such as public-key
Abstract Algebra with Applications provides a friendly and concise introduction to algebra, with an emphasis on its uses in the modern world. The first part of this book covers groups, after some preliminaries on sets, functions, relations, and induction, and features applications such as public-key
A comprehensive presentation of abstract algebra and an in-depth treatment of the applications of algebraic techniques and the relationship of algebra to other disciplines, such as number theory, combinatorics, geometry, topology, differential equations, and Markov chains.
This is the second edition of the introduction to abstract algebra. In addition to introducing the main concepts of modern algebra, the book contains numerous applications, which are intended to illustrate the concepts and to convince the reader of the utility and relevance of algebra today. There i