Galois Theory: Universitext
Autor Steven H. Weintrauben Limba Engleză Paperback – 21 noi 2008
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Specificații
ISBN-13: 9780387875743
ISBN-10: 0387875743
Pagini: 211
Ilustrații: XIV, 212 p.
Dimensiuni: 155 x 235 x 13 mm
Greutate: 0.32 kg
Ediția:2nd ed. 2009
Editura: Springer
Colecția Springer
Seria Universitext
Locul publicării:New York, NY, United States
ISBN-10: 0387875743
Pagini: 211
Ilustrații: XIV, 212 p.
Dimensiuni: 155 x 235 x 13 mm
Greutate: 0.32 kg
Ediția:2nd ed. 2009
Editura: Springer
Colecția Springer
Seria Universitext
Locul publicării:New York, NY, United States
Public țintă
GraduateCuprins
to Galois Theory.- Field Theory and Galois Theory.- Development and Applications of Galois Theory.- Extensions of the Field of Rational Numbers.- Further Topics in Field Theory.- Transcendental Extensions.
Recenzii
From the reviews:
"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." (Werner Kleinert, Zentralblatt MATH, Vol. 1089 (15), 2006)
From the reviews of the second edition:
“The book is a valuable reference, covering many more topics than most of the standard books on the subject.” (Mowaffaq Hajja, Zentralblatt MATH, Vol. 1195, 2010)
"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." (Werner Kleinert, Zentralblatt MATH, Vol. 1089 (15), 2006)
From the reviews of the second edition:
“The book is a valuable reference, covering many more topics than most of the standard books on the subject.” (Mowaffaq Hajja, Zentralblatt MATH, Vol. 1195, 2010)
Notă biografică
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).
Textul de pe ultima copertă
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).
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).
Caracteristici
Concise and clear treatment of the subject Stresses linear algebra approach Presents further topics in field theory Second edition includes expanded key chapter on transcendental extensions Better format and layout