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Record Nr. |
UNINA9910828531703321 |
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Autore |
Bachmann Friedrich <1909-1982, > |
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Titolo |
N-gons / / Friedrich Bachmann and Eckart Schmidt ; translated by Cyril W. L. Garner |
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Pubbl/distr/stampa |
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Toronto, [Ontario] ; ; Buffalo, [New York] : , : University of Toronto Press, , 1975 |
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©1975 |
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ISBN |
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Descrizione fisica |
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1 online resource (208 p.) |
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Collana |
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Mathematical Expositions, , 0076-5333x ; ; Number 18 |
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Disciplina |
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Soggetti |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Nota di bibliografia |
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Includes bibliographical references and index. |
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Nota di contenuto |
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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. |
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Sommario/riassunto |
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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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