Abstract algebra and famous impossibilities
By: Arthur Jones, Sidney A. Morris, Kenneth R. Pearson.
Contributors: Morris, Sidney A., 1947-; Pearson, Kenneth R.
Series: Universitext
Publisher: Springer-Verlag
Published: 1991
Place of publication: New York
Language: eng
Number of pages: 187
Subjects: Algebra, Abstract; Geometry -- Famous problems
Description: The famous problems of squaring the circle, doubling the cube, and trisecting the angle have captured the imagination of both professional and amateur mathematician for over two thousand years. These problems, however, have not yielded to purely geometrical methods. It was only the development of abstract algebra in the nineteenth century which enabled mathematicians to arrive at the surprising conclusion that these constructions are not possible. This text aims to develop the abstract algebra.
Notes: Includes bibliographical references and index.