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### Introduction to Abstract Algebra by Samir Siksek

MathSchoolinternational.com contain houndreds of Free Math e-Books. Which cover almost all topics of mathematics. To see an extisive list of Abstract Algebra eBooks . We hope mathematician or person who’s interested in mathematics like these books.

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Introduction to Abstract Algebra written by Samir Siksek . This is an other great mathematics book cover the following topics of Problem Solving.

• Chapter I. Prologue
Who Am I? A Jolly Good Read!, Proofs, Acknowledgements and Corrections

• Chapter II. FAQ

• Chapter III. Algebraic Reorientation
Sets, Binary Operations, Vector Operations, Operations on PolynomialsComposition of Functions, Composition Tables, Commutativity and Associativity, Where are the Proofs?, The Quaternionic Number System (do not read)

What are Matrices?, Matrix Operations, Where do matrices come from?, How to think about matrices?, Why Column Vectors?, Multiplicative Identity and Multiplicative Inverse, Rotations

• Chapter V. Groups
The Definition of a Group, First Examples (and Non-Examples), Abelian Groups, Symmetries of a Square

• Chapter VI. First Theorems

• Chapter VII. More Examples of Groups
Matrix Groups I, Congruence Classes

• Chapter VIII. Orders and Lagrange’s Theorem
The Order of an Element, Lagrange’s Theorem—Version

• Chapter IX. Subgroups
What Were They Again?, Criterion for a Subgroup, Roots of Unity, Matrix Groups II, Differential Equations, Non-Trivial and Proper Subgroups, Lagrange’s Theorem—Version 2

• Chapter X. Cyclic Groups and Cyclic Subgroups
Lagrange Revisited, Subgroups of Z

• Chapter XI. Isomorphisms

• Chapter XII. Cosets
Geometric Examples, Solving Equations, Index, The First Innermost Secret of Cosets, The Second Innermost Secret of Cosets, Lagrange Super-Strength

• Chapter XIII. Quotient Groups
Congruences Modulo Subgroups, Congruence Classes and Cosets, R/Z, R/Q, Well-Defined and Proofs

• Chapter XIV. Symmetric Groups
Motivation, Injections, Surjections and Bijections, The Symmetric Group, A Nice Application of Lagrange’s Theorem, Cycle Notation, Permutations and Transpositions, Even and Odd Permutations

• Chapter XV. Rings
Definition, Examples, Subrings, The Unit Group of a Ring, The Unit Group of the Gaussian Integers 117

• Chapter XVI. Fields

• Chapter XVII. Congruences Revisited
Units in Z/mZ, Fermat’s Little Theorem, Euler’s Theorem, Vale Dicere

• Appendices
• Appendix A. 2012 Introduction to Abstract Algebra Paper
• Appendix B. 2013 Introduction to Abstract Algebra Paper
• Appendix C. 2014 Introduction to Abstract Algebra Paper
• Appendix D. 2015 Introduction to Abstract Algebra Paper
• Appendix E. The Forgotten Joys of Analytic Irresponsibility
• E.1. The Mathematical Equivalent of an X-Rated DVD
• E.2. Nothing to see here—move along please
• ##### Math Books ABSTRACT ALGEBRA

Algebra by Michael Artin
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• English
• PDF
• Page 634

• Algebra (2nd Edition) by Michael Artin
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• PDF 111
• Page 559

• A First Course on Abstract Algebra by John B. Fraleigh
• Free
• English
• Page 523

• Abstract Algebra by Joseph A Gallian
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• English
• PDF 48
• Page 664

• Notes on Algebra by Donu Arapura
• Free
• English
• PDF 89
• Page 77

• Abstract Algebra by Robert B Ash by Robert B. Ash
• Free
• English
• PDF (Chapter wise) 71
• Page 200

• Abstract Algebra Lecture Notes by Dr David R Wilkins
• Free
• English
• PDF (chapter wise) 64
• Page 150

• Fields and Galois Theory by J.S. Milne
• Free
• English
• PDF 57
• Page 138

• Abstract Algebra by Irena Swanson
• Free
• English
• PDF 50
• Page 102

• Intro Abstract Algebra by Paul Garrett
• Free
• English
• PDF 49
• Page 200

• A History of Abstract Algebra by Jeremy Gray
• Free
• English
• PDF 38
• Page 412
##### SHORTCUT TRICKS (Division)
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