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N-gons

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Title: N-gons
Description: This book, a translation of the German volume n-Ecke, presents an elegant geometric theory which, starting from quite elementary geometrical observations, exhibits an interesting connection between geometry and fundamental ideas of modern algebra in a form that is easily accessible to the student who lacks a sophisticated background in mathematics. It stimulates geometrical thought by applying the tools of linear algebra and the algebra of polynomials to a concrete geometrical situation to reveal some rather surprising insights into the geometry of n-gons. The twelve chapters treat n-gons, classes of n-gons, and mapping of the set of n-gons into itself. Exercises are included throughout, and two appendixes, by Henner Kinder and Eckart Schmidt, provide background material on lattices and cyclotomic polynomials.(Mathematical Expositions No. 18)
Authors: Friedrich Bachmann, Eckart Schmidt
Resource Type: eBook.
Subjects: Set theory, Polygons
Categories: MATHEMATICS / Algebra / Elementary, MATHEMATICS / Geometry / Algebraic, MATHEMATICS / Mathematical Analysis
Database: eBook Collection (EBSCOhost)
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  – Type: ebook-pdf
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  Availability: 0
Header DbId: nlebk
DbLabel: eBook Collection (EBSCOhost)
An: 1002259
RelevancyScore: 1064
AccessLevel: 6
PubType: eBook
PubTypeId: ebook
PreciseRelevancyScore: 1063.91076660156
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Items – Name: Title
  Label: Title
  Group: Ti
  Data: N-gons
– Name: Abstract
  Label: Description
  Group: Ab
  Data: This book, a translation of the German volume n-Ecke, presents an elegant geometric theory which, starting from quite elementary geometrical observations, exhibits an interesting connection between geometry and fundamental ideas of modern algebra in a form that is easily accessible to the student who lacks a sophisticated background in mathematics. It stimulates geometrical thought by applying the tools of linear algebra and the algebra of polynomials to a concrete geometrical situation to reveal some rather surprising insights into the geometry of n-gons. The twelve chapters treat n-gons, classes of n-gons, and mapping of the set of n-gons into itself. Exercises are included throughout, and two appendixes, by Henner Kinder and Eckart Schmidt, provide background material on lattices and cyclotomic polynomials.(Mathematical Expositions No. 18)
– Name: Author
  Label: Authors
  Group: Au
  Data: <searchLink fieldCode="AR" term="%22Friedrich+Bachmann%22">Friedrich Bachmann</searchLink><br /><searchLink fieldCode="AR" term="%22Eckart+Schmidt%22">Eckart Schmidt</searchLink>
– Name: TypePub
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  Data: eBook.
– Name: Subject
  Label: Subjects
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  Data: <searchLink fieldCode="DE" term="%22Set+theory%22">Set theory</searchLink><br /><searchLink fieldCode="DE" term="%22Polygons%22">Polygons</searchLink>
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  Data: <searchLink fieldCode="ZK" term="%22MATHEMATICS+%2F+Algebra+%2F+Elementary%22">MATHEMATICS / Algebra / Elementary</searchLink><br /><searchLink fieldCode="ZK" term="%22MATHEMATICS+%2F+Geometry+%2F+Algebraic%22">MATHEMATICS / Geometry / Algebraic</searchLink><br /><searchLink fieldCode="ZK" term="%22MATHEMATICS+%2F+Mathematical+Analysis%22">MATHEMATICS / Mathematical Analysis</searchLink>
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RecordInfo BibRecord:
  BibEntity:
    Classifications:
      – Code: 516.22
        Scheme: ddc
        Type: prePub
    Languages:
      – Code: eng
        Text: English
    Subjects:
      – SubjectFull: Set theory
        Type: general
      – SubjectFull: Polygons
        Type: general
    Titles:
      – TitleFull: N-gons
        Type: main
  BibRelationships:
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      – PersonEntity:
          Name:
            NameFull: Friedrich Bachmann
      – PersonEntity:
          Name:
            NameFull: Eckart Schmidt
      – PersonEntity:
          Name:
            NameFull: Friedrich Bachmann
      – PersonEntity:
          Name:
            NameFull: Eckart Schmidt
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      – BibEntity:
          Dates:
            – D: 01
              M: 01
              Type: published
              Y: 2015
            – D: 06
              M: 04
              Type: profile
              Y: 2016
          Identifiers:
            – Type: isbn-print
              Value: 9781442651548
            – Type: isbn-electronic
              Value: 9781442656444
          Numbering:
            – Type: volume
              Value: 00018
          Titles:
            – TitleFull: N-gons
              Type: main
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