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PreTeXt Sample Book:
Abstract Algebra (SAMPLE ONLY)
Thomas W. Judson, Isaac Newton (Editor)
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Contents
Index
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Contents
Prev
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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 and Math in a Title
\(A\notsubset B\)
The Division Algorithm
Sage
Exercises
Programming Exercises
Sage Exercises
References and Suggested Readings
II
Algebra
1
Groups
Integer Equivalence Classes and Symmetries
Definitions and Examples
Subgroups
Sage
Exercises
Additional Exercises: Detecting Errors
Sage Exercises
References and Suggested Readings
2
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
3
Runestone Testing
ActiveCode
Code Lens
Coding Exercises
YouTube Videos
Deeper
Interactive Exercises
Exercises that are Timed
Projects and Friends
Expedited Samples
Reading Questions
YouTube Video Embedding
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
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