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Galois Theory

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Published by Chapman & Hall/CRC .
Written in English


Book details:

Edition Notes

Second Edition

The Physical Object
Number of Pages232
ID Numbers
Open LibraryOL7478479M
ISBN 100412345501
ISBN 109780412345500

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  Galois Theory. Ian Stewart's Galois Theory has been in print for 30 years. Resoundingly popular, it still serves its purpose exceedingly well. Yet mathematics education has changed considerably since , when theory took precedence over examples, and the time has come to bring this presentation in line with more modern approaches/5. This book on Galois theory is of the latter class, because of its emphasis on historical motivation and the many concrete examples given between its covers. The author has done a fine job of relating to the reader just how Galois Reviews: The book describes Galois theory and for the most part proves the relevant theorems, etc. The examples included are also a s: This is a textbook on Galois theory. Galois theory has a well-deserved re- tation as one of the most beautiful subjects in mathematics. I was seduced by its beauty into writing this book. I hope you will be seduced by its beauty in reading it. This book begins at Brand: Springer-Verlag New York.

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 . This textbook offers a unique introduction to classical Galois theory through many concrete examples and exercises of varying difficulty (including computer-assisted exercises). In addition to covering standard material, the book explores topics related to classical problems such as Galois’ theorem on solvable. This book deals with classical Galois theory, of both finite and infinite extensions, and with transcendental extensions, focusing on finitely generated extensions and connections with algebraic geometry. The purpose of the book is s: 6.   This is an introduction to Galois Theory along the lines of Galois's Memoir on the Conditions for Solvability of Equations by Radicals. It puts Galois's ideas into historical perspective by tracing their antecedents in the works of Gauss, Lagrange, Newton, and even the ancient Babylonians. It also explains the modern formulation of the theory/5(4).

It also has some material on infinite Galois extensions, which will be useful with more advanced number theory later. The book has an elementary approach assuming as little mathematical background and maturity as possible. John Milne's notes on Fields and Galois Theory is pitched at a higher level. It covers more material than Weintraub in fewer pages so it requires more . Summary. Since , 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 .   Addeddate Identifier GaloisTheory Identifier-ark ark://t0bw4sm6v Ocr ABBYY FineReader (Extended OCR) Ppi Scanner Internet Archive HTML5 Uploader These notes give a concise exposition of the theory of fields, including the Galois theory of finite and infinite extensions and the theory of transcendental extensions. The first six chapters form a standard course, and the final three chapters are more Size: 1MB.