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**About this book .- **
**Elements of Modern Algebra (7E) ** 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. ** 7th
** Author(s). ** Linda Gilbert
** Publisher. ** Cengage Learning
** Series. **
** Year. ** 2008
** Pages. ** 524
** Type. ** PDF
** Language. ** English
** ISBN. ** 0-495-56136-3,978-0495-56136-1
** Country. ** India
** Get this book from Amazon**

**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.

**All Famous Books of this Author :- **

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** • Download PDF Elements of Modern Algebra (7E) by Linda Gilbert **

** • Download PDF Elements of Modern Algebra (8E) by Linda Gilbert **

** • Download PDF Linear Algebra and Matrix Theory by Jimmie Gilbert, Linda Gilbert **

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**Book Contents .- **
**Elements of Modern Algebra (7E) ** 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

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**Related Book Categories:- **

**Other Famous Books Topics:- **

- Abstract Algebra
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- Engineering Mathematics
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- Math Magic
- Real Analysis

**Other Topics:- **

- Basic Algebra
- Basic Mathematics
- Math History
- Math Formulas
- Mathematical Methods
- Number Theory
- Bio Mathematics
- Business Mathematics
- Probability & Statistics

**WORKSHEETS (Solved):- **

**SHORTCUT TRICKS (Division):- **

- Divisible by 2 Shortcut trick
- Divisible by 3 Shortcut trick
- Divisible by 4 Shortcut trick
- Divisible by 5 Shortcut trick
- Divisible by 6 Shortcut trick
- Divisible by 7 Shortcut trick
- Divisible by 8 Shortcut trick
- Divisible by 9 Shortcut trick
- Divisible by 10 Shortcut trick

**SHORTCUT TRICKS (Prime Number):- **

- Find the prime number from 1 to 100 just in 5 second (MATH PRIME NUMBER SHORTCUT TRICK from 1 to 100 number) ?
- Find a large number "A" is prime number or not (MATH PRIME NUMBER SHORTCUT TRICK By using Square Root method) ?
- Find the composite number from 1 to 100 just in 5 second (MATH COMPOSITE NUMBER SHORTCUT TRICK from 1 to 100 number) ?