Galois Theory - Brossura

Weintraub, Steven

Brossura

ISBN 10: 0387875743 ISBN 13: 9780387875743

Casa editrice: Springer, 2008

Riassunto

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.

Su questo libro

Informazioni sull?autore

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).

Dalla quarta di copertina

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).

Dettagli dell'edizione

• Editore: Springer
• Data di pubblicazione: 2008
• Lingua: Inglese
• ISBN 10: 0387875743
• ISBN 13: 9780387875743
• Rilegatura: Copertina flessibile
• Numero edizione: 2
• Numero di pagine: 228
• Contatto del produttore: non disponibile
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