A First Course in Abstract Algebra 9781482245523 | 9781482245530 South Dakota School of Mines and Technology

A First Course in Abstract Algebra

3rd Edition

Rings, Groups, and Fields, Third Edition

Marlow Anderson; Todd Feil
eISBN-13: 9781482245530

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Additional Book Details

Like its popular predecessors, A First Course in Abstract Algebra: Rings, Groups, and Fields, Third Edition develops ring theory first by drawing on students’ familiarity with integers and polynomials. This unique approach motivates students in the study of abstract algebra and helps them understand the power of abstraction. The authors introduce groups later on using examples of symmetries of figures in the plane and space as well as permutations.
New to the Third Edition

Makes it easier to teach unique factorization as an optional topic
Reorganizes the core material on rings, integral domains, and fields
Includes a more detailed treatment of permutations
Introduces more topics in group theory, including new chapters on Sylow theorems
Provides many new exercises on Galois theory

The text includes straightforward exercises within each chapter for students to quickly verify facts, warm-up exercises following the chapter that test fundamental comprehension, and regular exercises concluding the chapter that consist of computational and supply-the-proof problems. Historical remarks discuss the history of algebra to underscore certain pedagogical points. Each section also provides a synopsis that presents important definitions and theorems, allowing students to verify the major topics from the section.

Sold By CRC Press
ISBNs 1482245523, 1482245531, 1482245531, 9781482245523, 9781482245530
Language eng
Number of Pages 552
Edition 3rd