"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
"Sinopsis" puede pertenecer a otra edición de este libro.
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
"Sobre este título" puede pertenecer a otra edición de este libro.
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Buch. Condición: 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. Nº de ref. del artículo: 9780387276779
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Gebunden. Condición: 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. Nº de ref. del artículo: 5909658
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