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N-Gons by Friedrich Bachmann, Eckart Schmidt, Cyril Garner

N-Gons

by Friedrich Bachmann , Eckart Schmidt , Cyril Garner
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Book cover type: Paperback
  • ISBN13: 9781442651548
  • Binding: Paperback
  • Subject: N/A
  • Publisher: University of Toronto Press
  • Publisher Imprint: University of Toronto Press
  • Publication Date:
  • Pages: 208
  • Original Price: GBP 23.99
  • Language: English
  • Edition: N/A
  • Item Weight: 313 grams
  • BISAC Subject(s): Algebra / Elementary

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)

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