Elementary Abstract Algebra Examples and Applications
This book is not intended for budding mathematicians. It was created for a math program in which most of the students in upper-level math classes are planning to become secondary school teachers. For such students, conventional abstract algebra texts are practically incomprehensible, both in style a...
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| Other Authors: | , |
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| Format: | Electronic eBook |
| Language: | English |
| Published: |
Killeen, Texas
Justin Hill and Chris Thron
2019.
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| Series: | Open textbook library.
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| Subjects: | |
| Online Access: | Access online version |
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Table of Contents:
- 1 Preliminaries
- 2 Complex Numbers
- 3 Modular Arithmetic
- 4 Modular Arithmetic, Decimals, and Divisibility
- 5 Set Theory
- 6 Functions: Basic Concepts
- 7 Introduction to Cryptography
- 8 Sigma Notation
- 9 Polynomials
- 10 Symmetries of Plane Figures
- 11 Permutations
- 12 Introduction to Groups
- 13 Further Topics in Cryptography
- 14 Equivalence Relations and Equivalence Classes
- 15 Cosets and Quotient Groups (a.k.a. Factor Groups)
- 16 Error-Detecting and Correcting Codes
- 17 Isomorphisms of Groups
- 18 Homomorphisms of Groups
- 19 Group Actions
- 20 Introduction to Rings and Fields