Galois Theory
A comprehensive guide to Galois groups and classical theory
Format:Hardback
Publisher:Taylor & Francis Ltd
Published:7th Sep '22
Should be back in stock very soon
This hardback is available in another edition too:
- Paperback£54.99(9781032101583)
This comprehensive textbook on Galois theory offers a modern approach to understanding Galois groups and classical concepts, making it essential for algebra students.
Since its inception in 1973, Galois Theory has played a vital role in educating undergraduate students about Galois groups and classical Galois theory. The fifth edition, authored by mathematician Ian Stewart, brings this well-established textbook up to date, catering to the needs of modern algebra students. Stewart's approachable writing style makes complex concepts accessible, ensuring that learners can grasp the intricacies of the subject matter with ease.
This edition introduces several enhancements, including reorganized and revised Chapters 7 and 13, which provide a clearer framework for understanding the material. Additionally, students will find new exercises and examples that reinforce learning and deepen their comprehension of Galois theory. The references have been expanded and updated to reflect the latest developments in the field, while further historical context is provided on influential figures beyond Galois himself, such as Omar Khayyam, Vandermonde, Ruffini, and Abel.
Moreover, Galois Theory now features a new final chapter that explores the evolution of Galois theory, discussing topics like the inverse Galois problem, differential Galois theory, and a brief introduction to p-adic Galois representations. This bestseller continues to deliver a rigorous yet engaging treatment of the subject, complemented by over 200 exercises and a wealth of historical notes that enhance the learning experience.
"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"
- Midwest Books Review
Praise for the Previous Editions"… this book remains a highly recommended introduction to Galois theory along the more classical lines. It contains many exercises and a wealth of examples, including a pretty application of finite fields to the game solitaire. … provides readers with insight and historical perspective; it is written for readers who would like to understand this central part of basic algebra rather than for those whose only aim is collecting credit points."
—Zentralblatt MATH 1322
"This edition preserves and even extends one of the most popular features of the original edition: the historical introduction and the story of the fatal duel of Evariste Galois. … These historical notes should be of interest to students as well as mathematicians in general. … after more than 30 years, Ian Stewart’s Galois Theory remains a valuable textbook for algebra undergraduate students."
—Zentralblatt MATH, 1049
"The penultimate chapter is about algebraically closed fields and the last chapter, on transcendental numbers, contains ‘what-every-mathematician-should-see-at-least-once,’ the proof of transcendence of pi. … The book is designed for second- and third-year undergraduate courses. I will certainly use it."
—EMS Newsletter
ISBN: 9781032101590
Dimensions: unknown
Weight: 526g
353 pages
5th edition