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

• Autore: Bachmann Friedrich <1909->
• 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
• Serie: Mathematical expositions ; ; Number 18.