02948nam 2200637 450 991082853170332120240105231802.01-4426-5644-110.3138/9781442656444(CKB)3710000000433123(EBL)3431994(OCoLC)929153286(CEL)447499(OCoLC)918588755(CaBNVSL)kck00235790(DE-B1597)465700(OCoLC)944178742(DE-B1597)9781442656444(Au-PeEL)EBL4669449(CaPaEBR)ebr11255982(OCoLC)958557737(MiAaPQ)EBC4669449(MdBmJHUP)musev2_107067(EXLCZ)99371000000043312320160920h19751975 uy 0engur|n|---|||||rdacontentrdamediardacarrierN-gons /Friedrich Bachmann and Eckart Schmidt ; translated by Cyril W. L. GarnerToronto, [Ontario] ;Buffalo, [New York] :University of Toronto Press,1975.©19751 online resource (208 p.)Mathematical Expositions,0076-5333x ;Number 18Translation of: N-Ecke.1-4426-5154-7 Includes bibliographical references and index.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.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).Mathematical expositions ;Number 18.PolygonsSet theoryPolygons.Set theory.516/.22Bachmann Friedrich1909-1982,1669745Schmidt EckartGarner C. W. L(Cyril William Luther),1940-,MiAaPQMiAaPQMiAaPQBOOK9910828531703321N-gons4031147UNINA