Abstract Algebra Done Concretely by Donu Arapura - Free PDF
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 :-
Title:
Abstract Algebra Done Concretely by Donu Arapura - Free PDF
Publisher:
Purdue University
Year:
2017
Pages:
77
Type:
PDF
Language:
English
ISBN-10 #:
0130044253
ISBN-13 #:
978-0130044259
License:
Linked Content Owned by Author
Amazon:
Amazon
About Author :-
The author
Donu Arapura
is Professor of Mathematics at Purdue University. He has completed his PhD from Columbia Universit in 1985. His primary research includes algebraic geometry and he has written and co-written serveral publications ranging from Hodge cycles to cohomology.
Book Contents :-
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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