Galois Theory

Ian Stewart

Publié par CRC Press, le 24 avril 2015

321 pages

Résumé

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 because 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.