ENGLISH

Galois theory

By Ian Stewart

Book information

Publisher
Chapman and Hall
Year
1989
ISBN
0412345404, 9780412345401, 940106864X, 9789401068642
DOI
10.1007/978-94-009-0839-0
LCC
QA214.S74 1989
Google Books ID
qV4_AQAAIAAJ
Language
english
Format
PDF
Filesize
16 MB (16576191 bytes)
Edition
2
Pages
0\233
Orientation
yes
Paginated
yes
Scanned
yes
Time added
2014-02-12 18:00:00

Description

1 Background.- 2 Factorization of polynomials.- 3 Field extensions.- 4 The degree of an extension.- 5 Ruler and compasses.- 6 Transcendental numbers.- 7 The idea behind Galois theory.- 8 Normality and separability.- 9 Field degrees and group orders.- 10 Monomorphisms, automorphisms, and normal closures.- 11 The Galois correspondence.- 12 A specific example.- 13 Soluble and simple groups.- 14 Solution of equations by radicals.- 15 The general polynomial equation.- 16 Finite fields.- 17 Regular polygons.- 18 Calculating Galois groups.- 19 The ‘fundamental theorem of algebra’.- Selected solutions.- References.- Symbol Index.

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