Items related to Galois Theory (Universitext)
Synopsis
The new edition of this text on classical Galois Theory approaches the theory from the linear algebra point of view, following Artin. It also presents a number of applications of the theory and an expanded chapter on transcendental extensions.
"synopsis" may belong to another edition of this title.
About the Author
Steven H. Weintraub is a Professor of Mathematics at Lehigh University and author of seven books. This book grew out of a graduate course he taught at Lehigh. He is also the author of Algebra: An Approach via Module Theory (with W. A. Adkins).
From the Back Cover
The book discusses classical Galois theory in considerable generality, treating fields of characteristic zero and of positive characteristic with consideration of both separable and inseparable extensions, but with a particular emphasis on algebraic extensions of the field of rational numbers. While most of the book is concerned with finite extensions, it discusses algebraic closure and infinite Galois extensions, and concludes with a new chapter on transcendental extensions.
Key topics and features of this second edition:
- Approaches Galois theory from the linear algebra point of view, following Artin;
- Presents a number of applications of Galois theory, including symmetric functions, finite fields, cyclotomic fields, algebraic number fields, solvability of equations by radicals, and the impossibility of solution of the three geometric problems of Greek antiquity.
Review from the first edition:
"The text offers the standard material of classical field theory and Galois theory, though in a remarkably original, unconventional and comprehensive manner … . the book under review must be seen as a highly welcome and valuable complement to existing textbook literature … . It comes with its own features and advantages … it surely is a perfect introduction to this evergreen subject. The numerous explaining remarks, hints, examples and applications are particularly commendable … just as the outstanding clarity and fullness of the text." (Zentralblatt MATH, Vol. 1089 (15), 2006)
Steven H. Weintraub is a Professor of Mathematics at Lehigh University and the author of seven books. This book grew out of a graduate course he taught at Lehigh. He is also the author of Algebra: An Approach via Module Theory (with W. A. Adkins).
"About this title" may belong to another edition of this title.
Other Popular Editions of the Same Title
Search results for Galois Theory (Universitext)
Stock Image
Galois Theory
Seller: Better World Books, Mishawaka, IN, U.S.A.
Seller rating 5 out of 5 stars
Condition: Good. Used book that is in clean, average condition without any missing pages. Seller Inventory # 51345381-6
Quantity: 1 available
Seller Image
Galois Theory
Seller: GreatBookPrices, Columbia, MD, U.S.A.
Seller rating 5 out of 5 stars
Condition: New. Seller Inventory # 5838503-n
Quantity: Over 20 available
Stock Image
Galois Theory (Paperback)
Published by
Springer-Verlag New York Inc., New York, NY, 2008
ISBN 10: 0387875743
ISBN 13: 9780387875743
New
Paperback
Seller: Grand Eagle Retail, Bensenville, IL, U.S.A.
Seller rating 5 out of 5 stars
Paperback. Condition: new. Paperback. 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 the beginning. Indeed (and perhaps a little unusually for a mathematics text), it begins with an informal introductory chapter, Ch- ter 1. In this chapter we give a number of examples in Galois theory, even before our terms have been properly de?ned. (Needless to say, even though we proceed informally here, everything we say is absolutely correct.) These examples are sort of an airport beacon, shining a clear light at our destination as we navigate a course through the mathematical skies to get there. Then we start with our proper development of the subject, in Chapter 2. We assume no prior knowledge of ?eld theory on the part of the reader. We develop ?eld theory, with our goal being the Fundamental Theorem of Galois Theory (the FTGT). On the way, we consider extension ?elds, and deal with the notions of normal, separable, and Galois extensions. Then, in the penul- mate section of this chapter, we reach our main goal, the FTGT. This is a textbook on Galois theory. Galois theory has a well-deserved re- tation as one of the most beautiful subjects in mathematics. In this chapter we give a number of examples in Galois theory, even before our terms have been properly de?ned. We develop ?eld theory, with our goal being the Fundamental Theorem of Galois Theory (the FTGT). Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9780387875743
Quantity: 1 available
Stock Image
Galois Theory (Universitext)
Seller: Lucky's Textbooks, Dallas, TX, U.S.A.
Seller rating 5 out of 5 stars
Condition: New. Seller Inventory # ABLIING23Feb2215580173473
Quantity: Over 20 available
Stock Image
Galois Theory (Universitext)
Seller: Ria Christie Collections, Uxbridge, United Kingdom
Seller rating 5 out of 5 stars
Condition: New. In. Seller Inventory # ria9780387875743_new
Quantity: Over 20 available
Stock Image
Galois Theory
Seller: Chiron Media, Wallingford, United Kingdom
Seller rating 4 out of 5 stars
PF. Condition: New. Seller Inventory # 6666-IUK-9780387875743
Quantity: 10 available
Seller Image
Galois Theory
Seller: GreatBookPricesUK, Woodford Green, United Kingdom
Seller rating 5 out of 5 stars
Condition: New. Seller Inventory # 5838503-n
Quantity: Over 20 available
Seller Image
Galois Theory
Published by
Springer New York Nov 2008, 2008
ISBN 10: 0387875743
ISBN 13: 9780387875743
New
Taschenbuch
Seller: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Germany
Seller rating 5 out of 5 stars
Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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 ofthis book a more than worthwhile addition to theliterature on Galois Theory. The second edition, with a new chapter on transcendental extensions, will only further serve to make the bookappreciated by and approachable toundergraduate and beginning graduate math majors. 228 pp. Englisch. Seller Inventory # 9780387875743
Quantity: 2 available
Stock Image
Galois Theory
Seller: Books Puddle, New York, NY, U.S.A.
Seller rating 4 out of 5 stars
Condition: New. pp. 228 2nd Edition. Seller Inventory # 26441249
Quantity: 4 available
Stock Image
Galois Theory
Published by
Springer-Verlag New York Inc., 2008
ISBN 10: 0387875743
ISBN 13: 9780387875743
New
Paperback / softback
Seller: THE SAINT BOOKSTORE, Southport, United Kingdom
Seller rating 5 out of 5 stars
Paperback / softback. Condition: New. This item is printed on demand. New copy - Usually dispatched within 5-9 working days 357. Seller Inventory # C9780387875743
Quantity: Over 20 available