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Abstract Algebra:
PRETEXT XML SAMPLE ONLY
Thomas W. Judson, Isaac Newton (Editor)
Contents
Index
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Contents
Prev
Up
Next
Front Matter
Colophon
Author Biography
About Robert A. Beezer
Dedication
Acknowledgements
Preface
Contributors to the 4\(^\mathrm{th}\) Edition
I
Basics
1
Preliminaries
A Short Note on Proofs
Sets and Equivalence Relations
Sage
Exercises
Sage Exercises
References and Suggested Readings
2
The Integers
Mathematical Induction
The Division Algorithm
Sage
Exercises
Programming Exercises
Sage Exercises
References and Suggested Readings
II
Algebra
3
Groups
Integer Equivalence Classes and Symmetries
Definitions and Examples
Subgroups
Sage
Exercises
Additional Exercises: Detecting Errors
Sage Exercises
References and Suggested Readings
4
Cyclicity
Cyclic groups
Subgroups of a Cyclic Group
Cyclic Groups of Complex Numbers
Large Powers of Integers
Exercises
Programming Exercises
Sage Exercises
References and Suggested Readings
Back Matter
A
Notation
B
Hints and Answers to Selected Odd Exercises
C
Hints and Answers to Selected Even Exercises
D
Hints and Answers to Selected Exercises
E
A Structured Appendix
A Section in an Appendix
Numbering in the Back Matter
F
GNU Free Documentation License
Index
Colophon
Authored in PreTeXt
Abstract Algebra:
PRETEXT XML SAMPLE ONLY
Thomas W. Judson
Department of Mathematics and Statistics
Stephen F. Austin State University
judsontw@sfasu.edu
Isaac Newton, Editor
Trinity College
Sage Exercises for Abstract Algebra
Robert A. Beezer
Department of Mathematics and Computer Science
University of Puget Sound
beezer@pugetsound.edu
September 21, 2021
Colophon
Author Biography
About Robert A. Beezer
Dedication
Acknowledgements
Preface
Contributors to the 4\(^\mathrm{th}\) Edition
