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About this book .-
Elements of Modern Algebra (8E) written by
Linda Gilbert.
This book is intended as a text for an introductory course in algebraic structures (groups, rings, fields, and so forth). Such a course is often used to bridge the gap from manipulative to theoretical mathematics and to help prepare secondary mathematics teachers for their careers.
A minimal amount of mathematical maturity is assumed in the text; a major goal is to develop mathematical maturity. The material is presented in a theorem-proof format, with definitions and major results easily located, thanks to a user-friendly format. The treatment is rigorous and self-contained, in keeping with the objectives of training the student in the techniques of algebra and providing a bridge to higher-level mathematical courses.
Groups appear in the text before rings. The standard topics in elementary group theory are included, and the last two sections in Chapter 4 provide an optional sample of more advanced work in finite abelian groups.
The treatment of the set Zn of congruence classes modulo n is a unique and popular feature of this text, in that it threads throughout most of the book.
Book Detail .-
Title. Elements of Modern Algebra
Edition. 8th
Author(s). Linda Gilbert
Publisher. Cengage Learning
Series.
Year. 2014
Pages. 518
Type. PDF
Language. English
ISBN. 1285463234 , 9781285463230
Country. US
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About Author :-
Linda Phillips Gilbert Saucier (born 1948) is an American mathematician and textbook author, a distinguished professor emerita of mathematics and computer science at the University of South Carolina Upstate.
Linda Gilbert was the daughter of Rudd George Phillips, an education specialist for the United States Air Force. She grew up in Gulfport, Mississippi, and earned B.S., M.S., and Ph.D. degrees from Louisiana Tech University in 1970, 1972, and 1977 respectively. Her dissertation applied linear algebra to epidemiology; it was titled An application of the Jordan canonical form to the epidemic problem. She also became a faculty member at Louisiana Tech with her husband and co-author, Jimmie Gilbert.
Her husband Jimmie died in 2005. She retired from the University of South Carolina Upstate and was given the distinguished professor emerita title in 2011.
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Book Contents .-
Elements of Modern Algebra (8E) written by
Linda Gilbert
cover the following topics.
1. Fundamentals
2. The Integers
3. Groups
4. More on Groups
5. Rings, Integral Domains, and Fields
6. More on Rings
7. Real and Complex Numbers
8. Polynomials
Appendex : The Basics of Logic
Answers to True/False and Selected
Exercises
Bibliography
Index
Note:-
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