Abstract Algebra and Famous Impossibilities: Squaring the Circle, Doubling the Cube, Trisecting an Angle, and Solving Quintic Equations

by Sidney a Morris, Arthur Jones, Kenneth R. Pearson

Book Overview

The famous problems of squaring the circle, doubling the cube and trisecting an angle captured the imagination of both professional and amateur mathematicians for over two thousand years. Despite the enormous effort and ingenious attempts by these men and women, the problems would not yield to purely geometrical methods. It was only the development. of abstract algebra in the nineteenth century which enabled mathematicians to arrive at the surprising...

• Format: Paperback
• Language: English
• ISBN: 3031057007
• ISBN13: 9783031057007
• Release Date: November 2023
• Publisher: Springer
• Length: 218 Pages