| Description |
1 online resource (xii, 191 pages) : illustrations |
| Series |
Mathematical expositions, 0076-5333 ; no. 18 |
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Mathematical expositions ; no. 18.
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| 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 |
| 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) |
| Notes |
Translation of: N-Ecke |
| Bibliography |
Includes bibliographical references and index |
| Subject |
Polygons.
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Set theory.
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polygons.
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MATHEMATICS -- Algebra -- Elementary.
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MATHEMATICS -- Geometry -- General.
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Polygons
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Set theory
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| Form |
Electronic book
|
| Author |
Schmidt, Eckart, author.
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| ISBN |
9781442656444 |
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1442656441 |
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