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n-gons /

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 wh...

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Detalles Bibliográficos
Autores principales: Bachmann, Friedrich, 1909- (Autor), Schmidt, Eckart (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Alemán
Publicado: Ottawa, Ontario : Canadian Electronic Library, 2015.
Colección:Book collections on Project MUSE.
Temas:
Acceso en línea:Texto completo
Descripción
Sumario: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).
Notas:Translation of: N-Ecke.
Descripción Física:1 online resource (208 pages): illustrations
ISBN:9781442656444
ISSN:0076-5333 ;