N-Gons
Paperback
Series: Heritage
AlgebraGeneral MathematicsGeometry
ISBN13: 9781442651548
Publisher: University of Toronto Press
Published: Dec 15 1975
Pages: 208
Weight: 0.69
Height: 0.48 Width: 6.00 Depth: 9.00
Language: English
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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