A Concrete Approach To Abstract Algebra: From The Integers To The Insolvability Of The Quintic

Paperback | August 1, 2018

byJeffrey Bergen

not yet rated|write a review
A Concrete Approach to Abstract Algebra: From the Integers to the Insolvability of the Quintic, Second Edition provides a primer and reference on abstract algebra for readers whose interests lie in mathematics and information and physical sciences. Adopting the unique rings first approach, the work provides a gentle transition into abstract structures that will make abstract algebra more natural to interested readers. In addition to introducing the major concepts of modern algebra, the book covers numerous applications which are intended to illustrate the concepts and convince the reader of the utility and relevance of algebra today. This Second Edition features 40% new or revised content, including complete and self-contained proofs of the fundamental theorems of algebra and the Insolvability of the Quintic, and new coverage of commutative rings and linear transformations. Offers an extraordinarily diverse reference of the algebraic field providing foundational progression through algebraic concepts suitable for newcomers and experts alike Demonstrates in simple language-using multiple examples and exact proofs-how most concepts within abstract algebra are actually tools used to solve difficult, but well-known problems Employs a gradual approach to build on relatively familiar material integers, polynomials Explores more abstract topics while providing the classical approach of introducing groups first as automorphisms Supports both prospective graduate students as well as prospective teachers

Pricing and Purchase Info

$201.95

Pre-order online
Ships free on orders over $25

From the Publisher

A Concrete Approach to Abstract Algebra: From the Integers to the Insolvability of the Quintic, Second Edition provides a primer and reference on abstract algebra for readers whose interests lie in mathematics and information and physical sciences. Adopting the unique rings first approach, the work provides a gentle transition into abs...

Jeffrey Bergen (DePaul, Chicago), received his B.S. in Mathematics from Brooklyn College in 1976. He received his M.S. in 1977 and Ph.D. in 1981 from the University of Chicago. His DePaul career began in 1981, where he continues to do research in the branch of abstract algebra known as noncommutative ring theory. His research has recei...

other books by Jeffrey Bergen

Sourcebook on Violence Against Women
Sourcebook on Violence Against Women

Kobo ebook|Jan 17 2017

$112.86

Companion Reader on Violence Against Women
Companion Reader on Violence Against Women

Kobo ebook|Apr 26 2011

$60.37

A Concrete Approach To Abstract Algebra: From the Integers to the Insolvability of the Quintic
A Concrete Approach To Abstract Algebra: From the Integ...

Hardcover|Jan 28 2010

$141.29 online$178.31list price(save 20%)
Format:PaperbackDimensions:976 pages, 8.75 × 6.35 × 0.68 inPublished:August 1, 2018Publisher:Academic PressLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0128051485

ISBN - 13:9780128051481

Customer Reviews of A Concrete Approach To Abstract Algebra: From The Integers To The Insolvability Of The Quintic

Reviews

Extra Content

Table of Contents

1. What this book is about and who this book is for 2. Proof and Intuition 3. The Integers 4. The Rational Numbers and the Real Numbers 5. The Complex Numbers 6. The Integers 7. Group Theory: A First Look 8. Roots and Factorization of Polynomials over the integrals 9. Polynomials over arbitrary fields 10. Difference Functions and Partial Fractions 11. An Introduction to Linear Algebra and Vector Spaces 12. Degrees and Galois Groups of Field Extensions 13. Geometric Constructions 14. Group Theory: Solvable and Symmetric Groups 15. Insolvability of the Quintic 16. Values of Trigonometric Functions 17. Additional Topics