Algebra: Abstract and Concrete by Frederick M. Goodman
About this book :-
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 text 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 text 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. It also includes helpful appendices on topics like logic, set theory, complex numbers, and linear algebra for review.
Book Detail :-
Title:
Algebra: Abstract and Concrete by Frederick M. Goodman
Publisher:
Frederick Goodman
Year:
2015
Pages:
587
Type:
PDF
Language:
English
ISBN-10 #:
0130673420
ISBN-13 #:
9780130673428
License:
Linked Content Owned by Author
Amazon:
Amazon
About Author :-
The author
Frederick M. Goodman
is a scholar and math professor at the University?of Iowa. He was known for his deep algebraic research.
Book Contents :-
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
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