Algebraic Equations (An Introduction to the Theories of Lagrange and Galois)

ISBN: 9780486439006
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$14.95
SKU:
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Minimum Purchase:
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Overview

Meticulous and complete, this presentation of Galois' theory of algebraic equations is geared toward upper-level undergraduate and graduate students. The theories of both Lagrange and Galois are developed in logical rather than historical form and given a thorough exposition. For this reason, Algebraic Equations is an excellent supplementary text, offering students a concrete introduction to the abstract principles of Galois theory. Of further value are the many numerical examples throughout the book, which appear with complete solutions.
A third of the text focuses on the basic ideas of algebraic theory, giving detailed explanations of integral functions, permutations, and group in addition to a very clear exposition of the symmetric group and its functions. A study of the theory of Lagrange follows. After a discussion of various groups (including isomorphic, transitive, and Abelian groups), a detailed study of Galois theory covers the properties of the Galoisian function, the general equation, reductions of the group, natural irrationality, and other features. The book concludes with the application of Galoisian theory to the solution of such special equations as Abelian, cyclic, metacyclic, and quintic equations.

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Product Details

Author:
Edgar Dehn
Series:
Dover Books on Mathematics
Format:
Paperback
Pages:
224
Publisher:
Dover Publications (June 21, 2017)
Language:
English
ISBN-13:
9780486439006
ISBN-10:
0486439003
Dimensions:
5.5" x 8.5"
Case Pack:
34
File:
Dover-Dover_05032025_P8573062_onix30_Complete-20250503.xml
Folder:
Dover
As low as:
$10.32
Weight:
9.6oz
List Price:
$14.95
Publisher Identifier:
P-DOVER
Discount Code:
D
Audience:
College/higher education
Pub Discount:
65
Imprint:
Dover Publications

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