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- Author: Friedrich Bachmann
- Publisher: University of Toronto Press
- Year: 2014
- Pages: 208
- ISBN-10: 1442651547
- ISBN-13: 9781442651548
- Format: 15.2 x 22.9 x 1.2 cm, softcover
- Language: English
- SAVE -10% with code: EXTRA
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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)
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- Author: Friedrich Bachmann
- Publisher: University of Toronto Press
- Year: 2014
- Pages: 208
- ISBN-10: 1442651547
- ISBN-13: 9781442651548
- Format: 15.2 x 22.9 x 1.2 cm, softcover
- Language: English 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)
Reviews