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Abstract algebra and famous impossibilities

Author: Arthur Jones; Sidney A Morris; Kenneth R Pearson
Publisher: New York : Springer-Verlag, ©1991.
Series: Universitext.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:

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.

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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Arthur Jones; Sidney A Morris; Kenneth R Pearson
ISBN: 0387976612 9780387976617 3540976612 9783540976615
OCLC Number: 24067056
Description: x, 187 pages : illustrations ; 24 cm.
Contents: Algebraic preliminaries --
Algebraic numbers and their polynomials --
Extending fields --
Irreducible polynomials --
Straightedge and compass constructions --
Proofs of the impossibilities --
Transcendence of e and [pi] --
An algebraic postscript --
Other impossibilities and abstract algebra.
Series Title: Universitext.
Responsibility: Arthur Jones, Sidney A. Morris, Kenneth R. Pearson.
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