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Original Essays | September 17, 2014

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My first novel, Love Me Back, was published on September 16. Writing the book took seven years, and along the way three chapters were published in... Continue »
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Foundations of Galois Theory (04 Edition)

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Foundations of Galois Theory (04 Edition) Cover

 

Synopses & Reviews

Please note that used books may not include additional media (study guides, CDs, DVDs, solutions manuals, etc.) as described in the publisher comments.

Publisher Comments:

Written by a prominent mathematician, this text offers advanced undergraduate and graduate students a virtually self-contained treatment of the basics of Galois theory. The source of modern abstract algebra and one of abstract algebra's most concrete applications, Galois theory serves as an excellent introduction to group theory and provides a strong, historically relevant motivation for the introduction of the basics of abstract algebra.

This two-part treatment begins with the elements of Galois theory, focusing on related concepts from field theory, including the structure of important types of extensions and the field of algebraic numbers. A consideration of relevant facts from group theory leads to a survey of Galois theory, with discussions of normal extensions, the order and correspondence of the Galois group, and Galois groups of a normal subfield and of two fields. The second part explores the solution of equations by radicals, returning to the general theory of groups for relevant facts, examining equations solvable by radicals and their construction, and concluding with the unsolvability by radicals of the general equation of degree n ≥ 5.

Synopsis:

A virtually self-contained treatment of the basics of Galois theory. This 2-part approach begins with the elements of Galois theory and concludes with the unsolvability by radicals of the general equation of degree n is greater than or equal to 5.

Synopsis:

The first part explores Galois theory, focusing on related concepts from field theory. The second part discusses the solution of equations by radicals, returning to the general theory of groups for relevant facts, examining equations solvable by radicals and their construction, and concludes with the unsolvability by radicals of the general equation of degree n is greater than 5. 1962 edition.

Table of Contents

I. The Elements of Galois Theory.

  1. The Elements of Field Theory.

  2. Necessary Facts from the Theory of Groups.

  3. Galois Theory.

II. The Solution of Equations by Radicals.

  1. Additional Facts from the General Theory of Groups.

  2. Equations Solvable by Radicals.

  3. The Construction of Equations Solvable by Radicals.

  4. The Unsolvability by Radicals of the General Equation of Degree n > 5.

Product Details

ISBN:
9780486435183
Translator:
Swinfen, Ann
Publisher:
Dover Publications
Translator:
Swinfen, Ann
Author:
Postnikov, M. M.
Author:
Mathematics
Location:
Mineola, N.Y.
Subject:
Algebra - Abstract
Subject:
Galois theory
Subject:
Mathematics-Abstract Algebra
Edition Number:
Dover ed.
Edition Description:
Trade Paper
Series:
Dover Books on Mathematics
Series Volume:
no 65
Publication Date:
20040231
Binding:
TRADE PAPER
Language:
English
Pages:
142
Dimensions:
8.5 x 5.38 in 0.42 lb

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Related Subjects

Science and Mathematics » Mathematics » Algebra » Abstract Algebra
Science and Mathematics » Mathematics » General
Science and Mathematics » Physics » General
Young Adult » General

Foundations of Galois Theory (04 Edition) Used Trade Paper
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Product details 142 pages Dover Publications - English 9780486435183 Reviews:
"Synopsis" by ,
A virtually self-contained treatment of the basics of Galois theory. This 2-part approach begins with the elements of Galois theory and concludes with the unsolvability by radicals of the general equation of degree n is greater than or equal to 5.

"Synopsis" by ,
The first part explores Galois theory, focusing on related concepts from field theory. The second part discusses the solution of equations by radicals, returning to the general theory of groups for relevant facts, examining equations solvable by radicals and their construction, and concludes with the unsolvability by radicals of the general equation of degree n is greater than 5. 1962 edition.
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