Galois Theory, Fourth Edition

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9781482245820: Galois Theory, Fourth Edition

Praise for the Third Edition:

"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

Reseña del editor:

Since 1973, Galois Theory has been educating undergraduate students on Galois groups and classical Galois theory. In Galois Theory, Fourth Edition, mathematician and popular science author Ian Stewart updates this well-established textbook for today’s algebra students.

New to the Fourth Edition

  • The replacement of the topological proof of the fundamental theorem of algebra with a simple and plausible result from point-set topology and estimates that will be familiar to anyone who has taken a first course in analysis
  • Revised chapter on ruler-and-compass constructions that results in a more elegant theory and simpler proofs
  • A section on constructions using an angle-trisector since it is an intriguing and direct application of the methods developed
  • A new chapter that takes a retrospective look at what Galois actually did compared to what many assume he did
  • Updated references

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.

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Ian Stewart
Verlag: Chapman & Hall Taylor & Francis Jun 2015 (2015)
ISBN 10: 1482245825 ISBN 13: 9781482245820
Neu Taschenbuch Anzahl: 1
(Einbeck, Deutschland)

Buchbeschreibung Chapman & Hall Taylor & Francis Jun 2015, 2015. Taschenbuch. Buchzustand: Neu. 235x151x19 mm. Neuware - A qualified bestseller since 1973, this fourth edition refines the information and improves features of the book to provide greater clarity and motivation to learn. It includes useful theorems to make the formulas more transparent and easier to understand. It offers a simplified proof of the fundamentals of algebra requiring only basic real analysis. In all, this edition revises and simplifies to provide greater interesting payoff at the beginning of the book and backs up the theorems with details later and in appendices. 344 pp. Englisch. Artikel-Nr. 9781482245820

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