Elementary Abstract Algebra: Examples and Applications by Justin Hill, Chris Thron
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About this book :-
This textbook is designed for undergraduate students, particularly those aiming to become secondary school mathematics teachers. The book introduces abstract algebra through concrete examples such as complex numbers, modular arithmetic, integers mod n, symmetries, and permutations. It also explores applications in areas like cryptography, coding theory, and signal processing, making abstract concepts more relatable.
This textbook adopt a student-friendly approach, presenting material in a clear and engaging manner to facilitate understanding.
Book Detail :-
This book has following details information.
Title:
Elementary Abstract Algebra: Examples and Applications by Justin Hill, Chris Thron by NA
Publisher:
Texas A&M University
Series:
FreeCompBooks
Year:
2017
Pages:
785
Type:
PDF
Language:
English
ISBN-10 #:
1312856351
ISBN-13 #:
978-1312856356
Country:
Pakistan
License:
CC BY-NC-SA 2.0
Get this book from Amazon
About Author :-
The author NA
NA
Book Contents :-
conver the following topics.
1. Forward
2. Glossary of symbols
3. Preliminaries
4. Complex Numbers
5. Modular Arithmetic
6. Modular Arithmetic, Decimals, and Divisibility
7. Set Theory
8. Functions: Basic Concepts
9. Introduction to Cryptography
10. Sigma Notation
11. Application: Sigma Notation in Linear Algebra
12. Polynomials
13. Symmetries of Plane Figures
14. Permutations
15. Introduction to Groups
16. Further Topics in Cryptography
17. Equivalence Relations and Equivalence Classes
18. Cosets and Quotient Groups (a.k.a. Factor Groups)
19. Error-Detecting and Correcting Codes
20. Isomorphisms of Groups
21. Exploration: Relating polynomials and matrices
22. Homomorphisms of Groups
23. Group Actions
24. Introduction to Rings and Fields
25. Polynomial Codes
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