ENGLISH

Galois Theory

By Joseph Rotman

Book information

Publisher
Springer
Year
1998
ISBN
0387985417, 9780387985411
LCC
QA214 .R685 1998
Open Library ID
OL344980M
Language
english
Format
DJVU
Filesize
2 MB (2208967 bytes)
Series
Universitext
Edition
2nd
Pages
171\171
Topic
Mathematics Algebra
DPI
600
Time added
2011-04-28 18:43:47

Description

A clear, efficient exposition of this topic with complete proofs and exercises, covering cubic and quartic formulas; fundamental theory of Galois theory; insolvability of the quintic; Galoiss Great Theorem; and computation of Galois groups of cubics and quartics. Suitable for first-year graduate students, either as a text for a course or for study outside the classroom, this new edition has been completely rewritten in an attempt to make proofs clearer by providing more details. It now begins with a short section on symmetry groups of polygons in the plane, for there is an analogy between polygons and their symmetry groups and polynomials and their Galois groups - an analogy which serves to help readers organise the various field theoretic definitions and constructions. The text is rounded off by appendices on group theory, ruler-compass constructions, and the early history of Galois Theory. The exposition has been redesigned so that the discussion of solvability by radicals now appears later and several new theorems not found in the first edition are included.

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