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Galois Theory, 2nd Edition - Paperback By Stewart, Ian - GOOD
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eBay item number:266524667686
Item specifics
- Condition
- Brand
- Unbranded
- Book Title
- Galois Theory, 2nd Edition
- MPN
- Does not apply
- ISBN
- 9780412345500
- Publication Year
- 1990
- Type
- Textbook
- Format
- Hardcover
- Language
- English
- Publication Name
- Galois Theory
- Features
- New Edition
- Item Length
- 9.2in
- Publisher
- CRC Press LLC
- Item Width
- 6.1in
- Item Weight
- 11.9 Oz
- Number of Pages
- 232 Pages
About this product
Product Information
Galois theory is a fascinating mixture of classical and modern mathematics, and in fact provided much of the seed from which abstract algebra has grown. It is a showpiece of mathematical unification and of "technology transfer" to a range of modern applications. Galois Theory, Second Edition is a revision of a well-established and popular text. The author's treatment is rigorous, but motivated by discussion and examples. He further lightens the study with entertaining historical notes - including a detailed description of Évariste Galois' turbulent life. The application of the Galois group to the quintic equation stands as a central theme of the book. Other topics include the problems of trisecting the angle, duplicating the cube, squaring the circle, solving cubic and quartic equations, and the construction of regular polygons For this edition, the author added an introductory overview, a chapter on the calculation of Galois groups, further clarification of proofs, extra motivating examples, and modified exercises. Photographs from Galois' manuscripts and other illustrations enhance the engaging historical context offered in the first edition. Written in a lively, highly readable style while sacrificing nothing to mathematical rigor, Galois Theory remains accessible to intermediate undergraduate students and an outstanding introduction to some of the intriguing concepts of abstract algebra.
Product Identifiers
Publisher
CRC Press LLC
ISBN-10
0412345501
ISBN-13
9780412345500
eBay Product ID (ePID)
166324
Product Key Features
Publication Name
Galois Theory
Format
Hardcover
Language
English
Features
New Edition
Publication Year
1990
Type
Textbook
Number of Pages
232 Pages
Dimensions
Item Length
9.2in
Item Width
6.1in
Item Weight
11.9 Oz
Additional Product Features
Lc Classification Number
Qa214.S74 1999
Grade from
College Freshman
Edition Description
New Edition
Edition Number
2
Table of Content
Preface to the First Edition Preface to the Second Edition Notes to the Reader Historical Introduction The Life of Galois Overview Background Factorization of Polynomials Field Extensions The Degree of an extension Ruler and Compasses Transcendental Numbers The Idea behind Galois Theory Normality and Separability Field Degrees and Group Order Monomorphisms, Automorphisms, and Normal Closures The Galois Correspondence A Specific Example Soluble and Simple Groups Solution of Equation by Radicals The General Polynomial Equation Finite Fields Regular Polygons Calculating Galois Groups The Fundamental Theorem of Algebra Selected Solutions References Index Symbol Index
Copyright Date
1990
Topic
Number Theory, Algebra / General
Lccn
99-019607
Dewey Decimal
512/.3
Intended Audience
Scholarly & Professional
Dewey Edition
21
Illustrated
Yes
Genre
Mathematics
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eBay item number:266524667686
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