N-gons / Friedrich Bachmann and Eckart Schmidt ; translated by Cyril W. L. Garner.

Format:

Book

Author/Creator:

Bachmann, Friedrich, 1909-1982, author.

Schmidt, Eckart, author.

Contributor:

Garner, C. W. L. (Cyril William Luther), 1940- translator.

Series:

Mathematical expositions ; Number 18.

Mathematical Expositions, 0076-5333x ; Number 18

Standardized Title:

N-Ecke. English

Language:

English

German

Subjects (All):

Polygons.

Set theory.

Physical Description:

1 online resource (208 p.)

Edition:

1st ed.

Place of Publication:

Toronto, [Ontario] ; Buffalo, [New York] : University of Toronto Press, 1975.

Language Note:

In English.

Summary:

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).

Contents:

Introduction

PART I: Cyclic classes and cyclic mappings

PART II: The main theorem

PART III: Boolean algebras of n-gonal theory

PART IV: Atomic decompositions

Appendices

List of symbols and notations.

Notes:

Translation of: N-Ecke.

Includes bibliographical references and index.

Description based on print version record.

ISBN:

1-4426-5644-1

OCLC:

929153286