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About this book :-
Basic Abstract Algebra written by Fredrick M. Goodman .
This text is for the graduate student in abstract algebra offered by most universities. We study fundamental algebraic structures, namely groups, rings, fields and modules, and maps between these structures. These techniques are used in many areas of mathematics, and there are applications to physics, engineering and computer science as well.
In this text the author has attemped to communicate the intrinsic beauty of abstract algebra. Ideally, the reasoning underlying each step of a proof should be completely clear, but the overall argument should be as brief as possible, allowing a sharp overview of the result.
Book Detail :-
Title: Basic Abstract Algebra
Author(s): Robert Ash
Publisher: Dover Publications
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About Author :-
Author Robert B. Ash (1935-2015) is Professor Emeritus of Mathematics in the Department of Mathematics at the University of Illinois. He start his career as an Assistant Professor in Electrical Engineering at Columbia University and then a Visiting Assistant Professor at the University of California, Berkeley, before coming to the University of Illinois Department of Mathematics in 1963. He retired in 1990. Bob was author of thirteen textbooks.
All Famous Books of this Author :-
Here is list all books, text books, editions, versions or solution manuals avaliable of this author, We recomended you to download all.
• Download PDF Basic Abstract Algebra by Robert Ash
• Download PDF The Calculus Tutoring Book by Carol Ash, Robert Ash
• Download PDF Complex Variables by Robert B. Ash, W. Phil Novinger
• Download PDF Probability and Measure Theory by Robert Ash, Catherine Dole
• Download PDF Measure, Integration and Functional Analysis by Robert Ash
• Download PDF A Course in Algebraic Number Theory by Robert B. Ash
• Download PDF Basic Probability Theory by Robert B. Ash
• Download PDF Real Analysis and Probability by Robert Ash
• Download PDF Real Analysis and Probability Solutions to Problems by Robert Ash
• Download PDF Real Real Variables with Basic Metric space Topology by Robert Ash
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Book Contents :-
Basic Abstract Algebra written by Fredrick M. Goodman . cover the following topics.
1. Group Fundamentals
2. Ring Fundamentals
3. Field Fundamentals
4. Module Fundamentals
5. Some Basic Techniques of Group Theory
6. Galois Theory
7. Introducing Algebraic Number Theory
8. Introducing Algebraic Geometry
9. Introducing Noncommutative Algebra
10. Introducing Homological Algebra
S1. Chain Complexes
S2. The Snake Lemma
S3. The Long Exact Homology Sequence
S4. Projective and Injective Resolutions
S5. Derived Functors
S6. Some Properties of Ext and Tor
S7. Base Change in the Tensor Product
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