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Autore: | Bachmann Friedrich <1909-> |
Titolo: | N-gons / / Friedrich Bachmann and Eckart Schmidt ; translated by Cyril W. L. Garner |
Pubblicazione: | Toronto, [Ontario] ; ; Buffalo, [New York] : , : University of Toronto Press, , 1975 |
©1975 | |
Descrizione fisica: | 1 online resource (208 p.) |
Disciplina: | 516/.22 |
Soggetto topico: | Polygons |
Set theory | |
Soggetto genere / forma: | Electronic books. |
Persona (resp. second.): | SchmidtEckart |
GarnerCyril W. L. | |
Note generali: | Includes index. |
Nota di bibliografia: | Includes bibliographical references and index. |
Nota di contenuto: | Frontmatter -- Contents -- Authors' preface -- Translator's preface -- Summary of contents -- Introduction -- 1. Cyclic classes of n-gons -- 2. Cyclic mappings of n-gons -- 3. Isobaric cyclic mappings -- 4. Averaging mappings -- 5. Idempotent elements and Boolean algebras -- 6. The main theorem about cyclic classes -- 7. Idempotent-transfer. Residue class rings of principal ideal domains -- 8. Boolean algebras of the n-gonal theory I -- 9. Boolean algebras of the n-gonal theory II -- 10. Rational components of an n-gon -- 11. Complex components of an n-gon -- 12. The real components of an n-gon -- 1. Lattices -- 2. Cyclotomic polynomials -- List of symbols and notations -- Index |
Sommario/riassunto: | 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) |
Titolo autorizzato: | N-gons |
ISBN: | 1-4426-5644-1 |
Formato: | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione: | Inglese |
Record Nr.: | 9910460700503321 |
Lo trovi qui: | Univ. Federico II |
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