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algebra: abstract and concrete: 2.6 goodman frederick [pdf]

Algebra Abstract and Concrete Edition 2.6 by Fredrick M. Goodman


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About this book :-
Algebra Abstract and Concrete Edition 2.6 written by Fredrick M. Goodman .
This text is the introduction to modern or abstract algebra addresses the conventional topics of groups, rings, and fields with symmetry as a unifying theme, while it introduces readers to the active practice of mathematics. Its accessible presentation is designed to teach users to think things through for themselves and change their view of mathematics from a system of rules and procedures, to an arena of inquiry. The volume provides plentiful exercises that give users the opportunity to participate and investigate algebraic and geometric ideas which are interesting, important, and worth thinking about. The volume addresses algebraic themes, basic theory of groups and products of groups, symmetries of polyhedra, actions of groups, rings, field extensions, and solvability and isometry groups. For those interested in a concrete presentation of abstract algebra.

Book Detail :-
Title: Algebra Abstract 2.6
Edition: 2.6
Author(s): Fredrick M. Goodman
Publisher: Semisimple
Series:
Year: 2015
Pages: 597
Type: PDF
Language: Englsih
ISBN: 978-0-9799142-1-8
Country: US
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About Author :-
The author Fredrick Goodman , is Professor of Education Emeritus at the University of Michigan School of Education, Ann Arbor, US. His interest is the specific problems involved in modeling structures arising in neuroscience. He is interested in perceptual mechanisms and especially the process of perceptual learning. He has worked on the theoretical aspects of training neural networks

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Book Contents :-
Algebra Abstract and Concrete Edition 2.6 written by Fredrick M. Goodman . cover the following topics.

1. Algebraic Themes
2. Basic Theory of Groups
3. Products of Groups
4. Symmetries of Polyhedra
5. Actions of Groups
6. Rings
7. Field Extensions – First Look
8. Modules
9. Field Extensions – Second Look
10. Solvability
11. Isometry Groups
Appendix A. Almost Enough about Logic
Appendix B. Almost Enough about Sets
Appendix C. Induction
Appendix D. Complex Numbers
Appendix G. Suggestions for Further Study
Appendix F. Models of Regular Polyhedra


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