Abstract Algebra and Famous Impossibilities /

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 ab...

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Bibliographic Details
Main Author: Jones, Arthur
Corporate Author: SpringerLink (Online service)
Other Authors: Pearson, Kenneth R., Morris, Sidney A.
Format: eBook
Language:English
Published: New York, NY : Springer New York, 1991.
Series:Universitext,
Subjects:
Online Access:Connect to the full text of this electronic book
Description
Summary: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.
Item Description:Electronic resource.
Physical Description:1 online resource (x, 189 pages)
ISBN:9781441985521 (electronic bk.)
1441985522 (electronic bk.)
ISSN:0172-5939