Abstract Algebra Done Concretely by Donu Arapura
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About this book :-
This document is designed for an undergraduate abstract algebra course. It covers topics like natural numbers, principles of counting, integers, divisibility, congruences, subgroups, and more. It includes definitions, theorems, examples, exercises and practical applications for each topic. The goal is to emphasize concrete examples over formal proofs.
This book covers basic abstract algebra. The material is presented in a way that encourages students to engage with examples and applications, making abstract concepts more accessible.
Book Detail :-
This book has following details information.
Title:
Abstract Algebra Done Concretely by Donu Arapura by NA
Publisher:
Purdue University
Series:
eBookDirectory
Year:
2017
Pages:
77
Type:
PDF
Language:
English
ISBN-10 #:
0130044253
ISBN-13 #:
978-0130044259
Country:
Pakistan
License:
N\A
Get this book from Amazon
About Author :-
The author NA
NA
Book Contents :-
conver the following topics.
1. The idea of a group
2. The group of permutations
3. Rotations and reflections in the plane
4. Cyclic groups and dihedral groups
5. Finite sets, counting and group theory
6. More counting problems with groups
7. Kernels and quotients
8. Rings and modular arithmetic
9. Zp is cyclic
10. Matrices over Zp
11. The sign of a permutation
12. Determinants
13. The 3 dimensional rotation group
14. Finite subgroups of the rotation group
15. Quaternions
16. The Spin group
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