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Abstract algebra and famous impossibilities

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Abstract algebra and famous impossibilities Cover

 

Synopses & Reviews

Publisher Comments:

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.

Book News Annotation:

Develops the abstract algebra necessary to prove the impossibility of constructions to square the circle, double the cube, trisect the angle by geometrical means. Assumes linear algebra.
Annotation c. Book News, Inc., Portland, OR (booknews.com)

Product Details

ISBN:
9780387976617
Author:
Jones, Arthur
Publisher:
Springer
Author:
Pearson, Kenneth R.
Author:
Morris, Sidney A.
Location:
New York :
Subject:
Geometry
Subject:
Number Theory
Subject:
Algebra - General
Subject:
Algebra - Abstract
Subject:
Geometry -- Problems, Famous.
Subject:
Geometry - Famous problems
Subject:
Mathematics-Number Theory
Copyright:
Edition Number:
1
Edition Description:
1991. Corr. 2nd
Series:
Universitext
Series Volume:
9384
Publication Date:
19910924
Binding:
TRADE PAPER
Language:
English
Illustrations:
Y
Pages:
199
Dimensions:
235 x 155 mm 650 gr

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Related Subjects

Science and Mathematics » Mathematics » Algebra » Abstract Algebra
Science and Mathematics » Mathematics » Algebra » General
Science and Mathematics » Mathematics » Number Theory

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Product details 199 pages Springer-Verlag,c1991. - English 9780387976617 Reviews:
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