Galois Theory

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A01=Ian Stewart
abstract algebra
advanced algebraic structures textbook
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Algebraic Closure
Algebraic Extension
Author_Ian Stewart
automatic-update
Category1=Non-Fiction
Category=PBB
Category=PBF
Category=PBG
Category=PBH
Conjugacy Class
constructions using an angle-trisector
COP=United Kingdom
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Elementary Symmetric Polynomials
eq_isMigrated=2
eq_nobargain
Euclidean plane R2
field automorphisms
Field Extension
Finite Extension
finite fields structure
Finite Group
Format=BC
Format_Paperback
fundamental theorem of algebra
Galois Correspondence
Galois Group
Galois groups
Galois Theory
group theory applications
Ian Stewart
Intermediate Field
Irreducible Polynomial
Language_English
Linearly Independent
Minimal Polynomial
Nonzero Polynomial
Normal Closure
Normal Extension
Normal Subgroups
PA=Available
point-set topology
polynomial factorisation
Price_€50 to €100
Prime Subfield
Primitive Element Theorem
PS=Active
radical equation solutions
Real Cube Root
ruler-and-compass constructions
Simple Algebraic Extensions
softlaunch
Splitting Field
Sylow's Theorems
Symmetric Polynomials

Product details

  • ISBN 9781032101583
  • Format: Paperback
  • Weight: 600g
  • Dimensions: 156 x 234mm
  • Publication Date: 07 Sep 2022
  • Publisher: Taylor & Francis Ltd
  • Publication City/Country: GB
  • Product Form: Paperback
  • Language: English
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Since 1973, Galois theory has been educating undergraduate students on Galois groups and classical Galois theory. In Galois Theory, Fifth Edition, mathematician and popular science author Ian Stewart updates this well-established textbook for today’s algebra students.

New to the Fifth Edition

  • Reorganised and revised Chapters 7 and 13
  • New exercises and examples
  • Expanded, updated references
  • Further historical material on figures besides Galois: Omar Khayyam, Vandermonde, Ruffini, and Abel
  • A new final chapter discussing other directions in which Galois theory has developed: the inverse Galois problem, differential Galois theory, and a (very) brief introduction to p-adic Galois representations

This bestseller continues to deliver a rigorous, yet engaging, treatment of the subject while keeping pace with current educational requirements. More than 200 exercises and a wealth of historical notes augment the proofs, formulas, and theorems.

Ian Stewart is an emeritus professor of mathematics at the University of Warwick and a fellow of the Royal Society. Dr. Stewart has been a recipient of many honors, including the Royal Society’s Faraday Medal, the IMA Gold Medal, the AAAS Public Understanding of Science and Technology Award, and the LMS/IMA Zeeman Medal. He has published more than 210 scientific papers and numerous books, including several bestsellers co-authored with Terry Pratchett and Jack Cohen that combine fantasy with nonfiction.

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