Galois Theory

Author: Emil Artin
Publisher:
ISBN: 9781950217021
Category : Education
Languages : en
Pages : 54

Book Description
The author Emil Artin is known as one of the greatest mathematicians of the 20th century. He is regarded as a man who gave a modern outlook to Galois theory. Original lectures by the master. This emended edition is with completely new typesetting and corrections. The free PDF file available on the publisher's website www.bowwowpress.org

Galois Theory for Beginners

Author: Jörg Bewersdorff
Publisher: American Mathematical Soc.
ISBN: 0821838172
Category : Mathematics
Languages : en
Pages : 202

Book Description
Galois theory is the culmination of a centuries-long search for a solution to the classical problem of solving algebraic equations by radicals. This book follows the historical development of the theory, emphasizing concrete examples along the way. It is suitable for undergraduates and beginning graduate students.

A Course in Galois Theory

Author: D. J. H. Garling
Publisher: Cambridge University Press
ISBN: 9780521312493
Category : Mathematics
Languages : en
Pages : 180

Book Description
This textbook, based on lectures given over a period of years at Cambridge, is a detailed and thorough introduction to Galois theory.

Field and Galois Theory

Author: Patrick Morandi
Publisher: Springer Science & Business Media
ISBN: 1461240409
Category : Mathematics
Languages : en
Pages : 294

Book Description
In the fall of 1990, I taught Math 581 at New Mexico State University for the first time. This course on field theory is the first semester of the year-long graduate algebra course here at NMSU. In the back of my mind, I thought it would be nice someday to write a book on field theory, one of my favorite mathematical subjects, and I wrote a crude form of lecture notes that semester. Those notes sat undisturbed for three years until late in 1993 when I finally made the decision to turn the notes into a book. The notes were greatly expanded and rewritten, and they were in a form sufficient to be used as the text for Math 581 when I taught it again in the fall of 1994. Part of my desire to write a textbook was due to the nonstandard format of our graduate algebra sequence. The first semester of our sequence is field theory. Our graduate students generally pick up group and ring theory in a senior-level course prior to taking field theory. Since we start with field theory, we would have to jump into the middle of most graduate algebra textbooks. This can make reading the text difficult by not knowing what the author did before the field theory chapters. Therefore, a book devoted to field theory is desirable for us as a text. While there are a number of field theory books around, most of these were less complete than I wanted.

Galois Theory of Linear Differential Equations

Author: Marius van der Put
Publisher: Springer Science & Business Media
ISBN: 3642557503
Category : Mathematics
Languages : en
Pages : 446

Book Description
From the reviews: "This is a great book, which will hopefully become a classic in the subject of differential Galois theory. [...] the specialist, as well as the novice, have long been missing an introductory book covering also specific and advanced research topics. This gap is filled by the volume under review, and more than satisfactorily." Mathematical Reviews

Fields and Galois Theory

Author: John M. Howie
Publisher: Springer Science & Business Media
ISBN: 1852339861
Category : Mathematics
Languages : en
Pages : 230

Book Description
A modern and student-friendly introduction to this popular subject: it takes a more "natural" approach and develops the theory at a gentle pace with an emphasis on clear explanations Features plenty of worked examples and exercises, complete with full solutions, to encourage independent study Previous books by Howie in the SUMS series have attracted excellent reviews

Galois Theory

Author: Harold M. Edwards
Publisher:
ISBN:
Category : Galois theory
Languages : en
Pages : 176

Book Description

Galois Theories

Author: Francis Borceux
Publisher: Cambridge University Press
ISBN: 9780521803090
Category : Mathematics
Languages : en
Pages : 360

Book Description
Starting from the classical finite-dimensional Galois theory of fields, this book develops Galois theory in a much more general context, presenting work by Grothendieck in terms of separable algebras and then proceeding to the infinite-dimensional case, which requires considering topological Galois groups. In the core of the book, the authors first formalize the categorical context in which a general Galois theorem holds, and then give applications to Galois theory for commutative rings, central extensions of groups, the topological theory of covering maps and a Galois theorem for toposes. The book is designed to be accessible to a wide audience: the prerequisites are first courses in algebra and general topology, together with some familiarity with the categorical notions of limit and adjoint functors. The first chapters are accessible to advanced undergraduates, with later ones at a graduate level. For all algebraists and category theorists this book will be a rewarding read.

Galois Theory

Author: Steven Weintraub
Publisher: Springer
ISBN: 9780387875743
Category : Mathematics
Languages : en
Pages : 212

Book 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.

Galois Groups and Fundamental Groups

Author: Tamás Szamuely
Publisher: Cambridge University Press
ISBN: 0521888506
Category : Mathematics
Languages : en
Pages : 281

Book Description
Assuming little technical background, the author presents the strong analogies between these two concepts starting at an elementary level.