LEADER 02948nam 2200637 450 001 9910828531703321 005 20240105231802.0 010 $a1-4426-5644-1 024 7 $a10.3138/9781442656444 035 $a(CKB)3710000000433123 035 $a(EBL)3431994 035 $a(OCoLC)929153286 035 $a(CEL)447499 035 $a(OCoLC)918588755 035 $a(CaBNVSL)kck00235790 035 $a(DE-B1597)465700 035 $a(OCoLC)944178742 035 $a(DE-B1597)9781442656444 035 $a(Au-PeEL)EBL4669449 035 $a(CaPaEBR)ebr11255982 035 $a(OCoLC)958557737 035 $a(MiAaPQ)EBC4669449 035 $a(MdBmJHUP)musev2_107067 035 $a(EXLCZ)993710000000433123 100 $a20160920h19751975 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $2rdacontent 182 $2rdamedia 183 $2rdacarrier 200 10$aN-gons /$fFriedrich Bachmann and Eckart Schmidt ; translated by Cyril W. L. Garner 210 1$aToronto, [Ontario] ;$aBuffalo, [New York] :$cUniversity of Toronto Press,$d1975. 210 4$dİ1975 215 $a1 online resource (208 p.) 225 1 $aMathematical Expositions,$x0076-5333x ;$vNumber 18 300 $aTranslation of: N-Ecke. 311 $a1-4426-5154-7 320 $aIncludes bibliographical references and index. 327 $aIntroduction -- 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. 330 $aThis book, a translation of the German volume n-Ecke, presents an elegant geometric theory which, starting from quite elementary geometrical observations, exhibits an interesting connection between geometry and fundamental ideas of modern algebra in a form that is easily accessible to the student who lacks a sophisticated background in mathematics. It stimulates geometrical thought by applying the tools of linear algebra and the algebra of polynomials to a concrete geometrical situation to reveal some rather surprising insights into the geometry of n-gons. The twelve chapters treat n-gons, classes of n-gons, and mapping of the set of n-gons into itself. Exercises are included throughout, and two appendixes, by Henner Kinder and Eckart Schmidt, provide background material on lattices and cyclotomic polynomials.(Mathematical Expositions No. 18). 410 0$aMathematical expositions ;$vNumber 18. 606 $aPolygons 606 $aSet theory 615 0$aPolygons. 615 0$aSet theory. 676 $a516/.22 700 $aBachmann$b Friedrich$f1909-1982,$01669745 702 $aSchmidt$b Eckart 702 $aGarner$b C. W. L$g(Cyril William Luther),$f1940-, 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910828531703321 996 $aN-gons$94031147 997 $aUNINA