Articoli correlati a Field Theory: 158
"Springer has just released the second edition of Steven Roman’s Field Theory, and it continues to be one of the best graduate-level introductions to the subject out there....Every section of the book has a number of good exercises that would make this book excellent to use either as a textbook or to learn the material on your own. All in all...a well-written expository account of a very exciting area in mathematics." --THE MAA MATHEMATICAL SCIENCES DIGITAL LIBRARY
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From the reviews of the second edition:
"Springer has just released the second edition of Steven Roman’s Field Theory, and it continues to be one of the best graduate-level introductions to the subject out there. ... Every section of the book has a number of good exercises that would make this book excellent to use either as a textbook or to learn the material on your own. All in all, I recommend this book highly as it is a well-written expository account of a very exciting area in mathematics." (Darren Glass, The MAA Mathematical Sciences Digital Library, February, 2006)
“The second edition of Roman’s Field Theory ... offers a graduate course on Galois theory. ... The author’s approach is mainly standard ... . the merits of such an approach would have been helpful for readers who already know some Galois theory, or for instructors who have to pick a textbook. ... The clarity of exposition and lots of exercises make this a suitable textbook for a graduate course on Galois theory.” (Franz Lemmermeyer, Zentralblatt MATH, Vol. 1172, 2009)
This book presents the basic theory of fields, starting more or less from the beginning. It is suitable for a graduate course in field theory, or independent study. The reader is expected to have taken an undergraduate course in abstract algebra, not so much for the material it contains but in order to gain a certain level of mathematical maturity.
For this new edition, the author has rewritten the text based on his experiences teaching from the first edition. There are new exercises, a new chapter on Galois theory from an historical perspective, and additional topics sprinkled throughout the text, including a proof of the Fundamental Theorem of Algebra, a discussion of casus irreducibilis, Berlekamp's algorithm for factoring polynomials over Zp and natural and accessory irrationalities.
From the reviews of the first edition:
The book is written in a clear and explanatory style...the book is recommended for a graduate course in field theory as well as for independent study.
- T. Albu, Mathematical Reviews
...[the author] does an excellent job of stressing the key ideas. This book should not only work well as a textbook for a beginning graduate course in field theory, but also for a student who wishes to take a field theory course as independent study.
- J.N.Mordeson, Zentralblatt
Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.
- EditoreSpringer Nature
- Data di pubblicazione2005
- ISBN 10 0387276777
- ISBN 13 9780387276779
- RilegaturaCopertina rigida
- Numero edizione2
- Numero di pagine332
- Valutazione libreria
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Descrizione libro Buch. Condizione: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -'Springer has just released the second edition of Steven Roman's Field Theory, and it continues to be one of the best graduate-level introductions to the subject out there.Every section of the book has a number of good exercises that would make this book excellent to use either as a textbook or to learn the material on your own. All in all.a well-written expository account of a very exciting area in mathematics.' --THE MAA MATHEMATICAL SCIENCES DIGITAL LIBRARY 352 pp. Englisch. Codice articolo 9780387276779
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Descrizione libro Gebunden. Condizione: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. This new edition has been completely rewritten for greater accessibility, and includes considerable new materialThe new chapter on ordered sets contains material that cannot be found in other booksThe exercises have also been improved for t. Codice articolo 5909658
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Descrizione libro Buch. Condizione: Neu. Druck auf Anfrage Neuware - Printed after ordering - Intended for graduate courses or for independent study, this book presents the basic theory of fields. The first part begins with a discussion of polynomials over a ring, the division algorithm, irreducibility, field extensions, and embeddings. The second part is devoted to Galois theory. The third part of the book treats the theory of binomials. The book concludes with a chapter on families of binomials - the Kummer theory. This new edition has been completely rewritten in order to improve the pedagogy and to make the text more accessible to graduate students. The exercises have also been improved and a new chapter on ordered fields has been included.About the first edition:' .the author has gotten across many important ideas and results. This book should not only work well as a textbook for a beginning graduate course in field theory, but also for a student who wishes to take a field theory course as independent study.'-J.N. Mordeson, Zentralblatt'The book is written in a clear and explanatory style. It contains over 235 exercises which provide a challenge to the reader. The book is recommended for a graduate course in field theory as well as for independent study.'- T. Albu, MathSciNet. Codice articolo 9780387276779
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