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Complex Polynomials

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Title: Complex Polynomials
Description: This book studies the geometric theory of polynomials and rational functions in the plane. Any theory in the plane should make full use of the complex numbers and thus the early chapters build the foundations of complex variable theory, melding together ideas from algebra, topology and analysis. In fact, throughout the book, the author introduces a variety of ideas and constructs theories around them, incorporating much of the classical theory of polynomials as he proceeds. These ideas are used to study a number of unsolved problems, bearing in mind that such problems indicate the current limitations of our knowledge and present challenges for the future. However, theories also lead to solutions of some problems and several such solutions are given including a comprehensive account of the geometric convolution theory. This is an ideal reference for graduate students and researchers working in this area.
Authors: T. Sheil-Small
Resource Type: eBook.
Subjects: Polynomials, Functions of complex variables
Categories: MATHEMATICS / Algebra / Elementary
Database: eBook Collection (EBSCOhost)
FullText Links:
  – Type: ebook-pdf
Text:
  Availability: 0
Header DbId: nlebk
DbLabel: eBook Collection (EBSCOhost)
An: 120438
RelevancyScore: 979
AccessLevel: 6
PubType: eBook
PubTypeId: ebook
PreciseRelevancyScore: 978.796813964844
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Items – Name: Title
  Label: Title
  Group: Ti
  Data: Complex Polynomials
– Name: Abstract
  Label: Description
  Group: Ab
  Data: This book studies the geometric theory of polynomials and rational functions in the plane. Any theory in the plane should make full use of the complex numbers and thus the early chapters build the foundations of complex variable theory, melding together ideas from algebra, topology and analysis. In fact, throughout the book, the author introduces a variety of ideas and constructs theories around them, incorporating much of the classical theory of polynomials as he proceeds. These ideas are used to study a number of unsolved problems, bearing in mind that such problems indicate the current limitations of our knowledge and present challenges for the future. However, theories also lead to solutions of some problems and several such solutions are given including a comprehensive account of the geometric convolution theory. This is an ideal reference for graduate students and researchers working in this area.
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  Data: <searchLink fieldCode="AR" term="%22T%2E+Sheil-Small%22">T. Sheil-Small</searchLink>
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  Data: eBook.
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  Data: <searchLink fieldCode="DE" term="%22Polynomials%22">Polynomials</searchLink><br /><searchLink fieldCode="DE" term="%22Functions+of+complex+variables%22">Functions of complex variables</searchLink>
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  Data: <searchLink fieldCode="ZK" term="%22MATHEMATICS+%2F+Algebra+%2F+Elementary%22">MATHEMATICS / Algebra / Elementary</searchLink>
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RecordInfo BibRecord:
  BibEntity:
    Classifications:
      – Code: 512.942
        Scheme: ddc
        Type: prePub
    Languages:
      – Code: eng
        Text: English
    Subjects:
      – SubjectFull: Polynomials
        Type: general
      – SubjectFull: Functions of complex variables
        Type: general
    Titles:
      – TitleFull: Complex Polynomials
        Type: main
  BibRelationships:
    HasContributorRelationships:
      – PersonEntity:
          Name:
            NameFull: T. Sheil-Small
      – PersonEntity:
          Name:
            NameFull: T. Sheil-Small
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      – BibEntity:
          Dates:
            – D: 01
              M: 01
              Type: published
              Y: 2002
            – D: 04
              M: 02
              Type: profile
              Y: 2014
          Identifiers:
            – Type: isbn-print
              Value: 9780521400688
            – Type: isbn-electronic
              Value: 9780511065392
          Numbering:
            – Type: volume
              Value: 00075
          Titles:
            – TitleFull: Complex Polynomials
              Type: main
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