The Mathematics Shelf

Galois Theory, fifth edition
Ian Stewart
CRC Press
www.routledge.com
9781032101583 $66.95 pbk / $49.30 Kindle

https://www.amazon.com/Galois-Theory-Ian-Stewart/dp/103210158X

Synopsis: Since 1973, Galois theory has been educating undergraduate studen=
ts on Galois groups and classical Galois theory. In Galois Theory, Fifth Ed= ition, mathematician and popular science author Ian Stewart updates this we= ll-established textbook for today's algebra students.

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, fo= rmulas, and theorems. Digital resources are available for mathematics instr= uctors at

https://www.routledge.com/Galois-Theory/Stewart/p/book/9781032101590

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, Vander= monde, 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 (v= ery) brief introduction to p-adic Galois representations

Critique: In mathematics, the fundamental theorem of Galois theory connects=
field theory and group theory, enabling certain mathematical problems in f= ield theory to be reduced to group theory, making the problems simpler and = easier to understand. The fifth updated edition of the textbook Galois Theo=
ry is an invaluable teaching text and resource for instructors of undergrad= uate mathematics students. Featuring more than 200 exercises and historical=
notes to enhance understanding of the proofs, formulas, and theorems, the = fifth edition of Galois Theory is a "must-have" for university library math= ematics collections, and highly recommended for instructors or for self-stu=
dy (provided that the self-motivated student already possesses the foundati= onal mathematical knowledge of algebra and polynomial factorization). Highl=
y recommended. It should be noted for personal reading lists that the fifth=
edition of Galois Theory is also available on Kindle ($49.30).

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