January 2023 MBR The Mathematics Shelf

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 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.

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. Digital resources are available for mathematics instructors 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, 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

Critique: In mathematics, the fundamental theorem of Galois theory connects field theory and group theory, enabling certain mathematical problems in field theory to be reduced to group theory, making the problems simpler and easier to understand. The fifth updated edition of the textbook Galois Theory is an invaluable teaching text and resource for instructors of undergraduate 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 mathematics collections, and highly recommended for instructors or for self-study (provided that the self-motivated student already possesses the foundational mathematical knowledge of algebra and polynomial factorization). Highly 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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