ENGLISH

Abstract Algebra and Famous Impossibilities

By Sidney A. Morris , Arthur Jones , Kenneth R. Pearson

Book information

Publisher
Springer
Year
1991
ISBN
0387976612, 9780387976617
LCC
QA162 .J65 1992
Language
english
Format
PDF
Filesize
14 MB (14659925 bytes)
Series
Universitext
Edition
Corrected
Pages
214\190
Orientation
no
Scanned
yes
Time added
2012-03-09 12:00:00

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.

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