Galois Theory (Universitext) 2nd Edition by Steven H. Weintraub (PDF)

Description

Galois theory is a mature mathematical subject of particular beauty. Any Galois theory book written nowadays bears a great debt to Emil Artin’s classic text “Galois Theory,” and this book is no exception. While Artin’s book pioneered an approach to Galois theory that relies heavily on linear algebra, this book’s author takes the linear algebra emphasis even further. This special approach to the subject together with the clarity of its presentation, as well as the choice of topics covered, has made the first edition of this book a more than worthwhile addition to the literature on Galois Theory. The second edition, with a new chapter on transcendental extensions, will only further serve to make the book appreciated by and approachable to undergraduate and beginning graduate math majors.

User’s Reviews

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐I used this book to prepare for my exam in Algebra. I really struggled to learn from my lecture notes since my lecturer was one of those people that have a relatively intuitive grasp of many algebraic phenomena and would thus often omit nontrivial details of certain arguments. I can assure you that this book is the exact opposite. It is well written, concise and quite attentive to detail. Rarely have I found myself wondering, as is often the case in Algebra, why something is supposed to hold, that the author assumes to be canonical or not worthy of explanation. This books spells out the details and is well written on top. There is ample motivation as to why a certain definition is being made at a certain point and the entire theory of Galois theory is motivated through some very extensive introductory examples. Right from the get go the objective is stated clearly and one has a guiding light to navigate through all the material in an order which suddenly appears to be natural.

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