A Concrete Approach to Abstract Algebra (Dover Books on Mathematics)

Book Details

• Publisher: Dover

• Author: W.W. Sawyer

• Language: English

• Binding: Paperback

• Edition: 1st Edition

• ISBN: 9780486824611

• Pages: 240

• Cover: Paperback

• Dimensions:

  • Length: 8.3 inches

  • Width: 5.5 inches

  • Height: 0.5 inches

About The Book

"Abstract Algebra: An Introduction" by W.W. Sawyer provides an accessible and concise introduction to the world of abstract algebra. Written with clarity and simplicity, this book aims to bridge the gap between elementary algebra and the more abstract concepts of modern algebra. It is specifically designed for students with high school-level algebra knowledge, making it an ideal starting point for anyone new to the subject.

Starting with basic arithmetic and elementary algebra, Sawyer gradually introduces more complex topics such as finite arithmetic, polynomials, extending fields, and vector spaces. One of the key features of this book is its approach to making abstract algebra tangible through simple arithmetic and algebraic analogies.

Key Features

• A clear and concise introduction to abstract algebra.

• Topics progress from simple arithmetic to more complex abstract algebraic concepts.

• Exercises throughout the book with complete solutions provided.

• A unique final chapter where modern algebraic concepts are used to prove that angles cannot be trisected by Euclidean means.

This book is perfect for beginners and those looking to gain a solid understanding of abstract algebra.