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Field Theory

Λεπτομέρειες βιβλιογραφικής εγγραφής
Τίτλος: Field Theory
Περιγραφή: 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
Συγγραφείς: Steven Roman
Resource Type: eBook.
Θέματα: Algebraic fields--Textbooks, Galois theory--Textbooks, Polynomials--Textbooks
Categories: MATHEMATICS / Algebra / General, MATHEMATICS / Algebra / Abstract, MATHEMATICS / Number Theory
Βάση Δεδομένων: eBook Index
FullText Text:
  Availability: 0
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AccessLevel: 6
PubType: eBook
PubTypeId: ebook
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  Data: 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
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RecordInfo BibRecord:
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      – Code: 512
        Scheme: ddc
        Type: prePub
    Languages:
      – Code: eng
        Text: English
    Subjects:
      – SubjectFull: Algebraic fields--Textbooks
        Type: general
      – SubjectFull: Galois theory--Textbooks
        Type: general
      – SubjectFull: Polynomials--Textbooks
        Type: general
    Titles:
      – TitleFull: Field Theory
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            NameFull: Steven Roman
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            – D: 01
              M: 01
              Type: published
              Y: 2006
            – D: 03
              M: 08
              Type: profile
              Y: 2020
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              Value: 9780387276779
            – Type: isbn-print
              Value: 9781441920959
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              Value: 9780387276786
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              Value: 00158
          Titles:
            – TitleFull: Field Theory
              Type: main
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