I'm a student
I'm an educator
Request full copy

Abstract Algebra: A Geometric Approach, 1st edition

Published by Pearson (August 14, 1995) © 1996

  • Theodore Shifrin
$127.99

  • Hardcover, paperback or looseleaf edition
  • Affordable rental option for select titles
  • Free shipping on looseleafs and traditional textbooks

Appropriate for a 1 or 2 term course in Abstract Algebra at the Junior level.

This book explores the essential theories and techniques of modern algebra, including its problem-solving skills, basic proof techniques, many unusual applications, and the interplay between algebra and geometry. It takes a concrete, example-oriented approach to the subject matter.

  • provides ample foundational material—both at the beginning of the text and in the appendices—while not avoiding calculus.
  • features a “rings” first approach to make abstract concepts more accessible. Over 225 substantial examples and 750 exercises (many having multiple parts) are provided.
  • Geometry is slowly integrated through the text to make the abstract concrete and permit more structures to play with.
  • culminates in Chapter 8 with the true integration of geometry and algebra.
  • encourages the use of geometric models to discover the relations between group theory and geometry.


1. The Integers.


2. From the Integers to the Complex Numbers.


3. Polynomials.


4. Homomorphisms and Quotient Rings.


5. Field Extensions.


6. Groups.


7. Group Actions and Symmetry.


8. Non-Euclidean Geometries.


Appendix A. A Logic Review, Sets and Functions, and Equivalence Relations.


Appendix B. Miscellaneous Facts from Linear Algebra.


Supplementary Reading.


Table of Notations.


Index.

Need help? Get in touch

Video
Play
Privacy and cookies
By watching, you agree Pearson can share your viewership data for marketing and analytics for one year, revocable by deleting your cookies.

Video transcript (PDF | 16KB) 

Pearson eTextbook: What’s on the inside just might surprise you

They say you can’t judge a book by its cover. It’s the same with your students. Meet each one right where they are with an engaging, interactive, personalized learning experience that goes beyond the textbook to fit any schedule, any budget, and any lifestyle. 

Digital Learning NOW

Extend your professional development and meet your students where they are with free weekly Digital Learning NOW webinars. Attend live, watch on-demand, or listen at your leisure to expand your teaching strategies. Earn digital professional development badges for attending a live session.

Explore webinars