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A First Course in Abstract Algebra

Rings, Groups, and Fields, Third Edition
By Marlow Anderson and Todd Feil
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Book Hero Magic crafted this summary to help describe this book. While it's new and still learning, it may not be perfect - your feedback is welcome! Summary
A First Course in Abstract Algebra: Rings, Groups, and Fields, Third Edition introduces ring theory first by building on students’ familiarity with integers and polynomials, providing a motivating entry point to abstract algebra. Groups are introduced later through accessible examples like symmetries and permutations. The latest edition reorganises core material, expands coverage of group theory including Sylow theorems, and offers new exercises on Galois theory, supported by historical insights and clear synopses.
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Format: Hardback
$21200
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Book Hero Magic created this recommendation. While it's new and still learning, it may not be perfect - your feedback is welcome! IS THIS YOUR NEXT READ?

Ideal for undergraduate students beginning their study of abstract algebra, as well as instructors seeking a clear and motivating rings-first textbook with comprehensive coverage and thoughtfully designed exercises.

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Book Hero Magic formatted this description to make it easier to read. While it's new and still learning, it may not be perfect - your feedback is welcome! Description

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.

Book Hero Magic summarised reviews for this book. While it's new and still learning, it may not be perfect - your feedback is welcome! HOW HAS THIS BEEN REVIEWED?

"I am a fan of the rings-first approach to algebra, agreeing with the authors that students’ familiarity with the integers and with polynomials renders rings more intuitive and accessible than groups. But this book has many other virtues besides presenting the material in this order. For example, each section is preceded and followed by short sections that try to put the material into a broader context. … This is definitely a book worth considering for textbook adoption." — MAA Reviews, November 2014

"The book is very complete, containing more than enough material for a two semester course in undergraduate abstract algebra. Even though there was a great deal of material presented, I found the book to be very well organized. It is well written and will help students to see the big picture. All in all it seems that a lot of thought went into this book, resulting in a comprehensive, well-written, readable book for undergraduates first learning abstract algebra." — MAA Online

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Book Details

INFORMATION

ISBN: 9781482245523

Publisher: Taylor & Francis Inc

Format: Hardback

Date Published: 07 November 2014

Country: United States

Imprint: Chapman & Hall/CRC

Edition: 3rd edition

Illustration: 40 Illustrations, black and white

Audience: Tertiary education

DIMENSIONS

Width: 178.0mm

Height: 254.0mm

Weight: 1120g

Pages: 556

Collections

Education & Reference Marlow Anderson Non-Fiction Science & Nature Todd Feil

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