LEADER 03411nam 2200637 450 001 9910460700503321 005 20200917021826.0 010 $a1-4426-5644-1 024 7 $a10.3138/9781442656444 035 $a(CKB)3710000000433123 035 $a(EBL)3431994 035 $a(OCoLC)929153286 035 $a(MiAaPQ)EBC4669449 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(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 $aIncludes index. 311 $a1-4426-5154-7 320 $aIncludes bibliographical references and index. 327 $tFrontmatter -- $tContents -- $tAuthors' preface -- $tTranslator's preface -- $tSummary of contents -- $tIntroduction -- $t1. Cyclic classes of n-gons -- $t2. Cyclic mappings of n-gons -- $t3. Isobaric cyclic mappings -- $t4. Averaging mappings -- $t5. Idempotent elements and Boolean algebras -- $t6. The main theorem about cyclic classes -- $t7. Idempotent-transfer. Residue class rings of principal ideal domains -- $t8. Boolean algebras of the n-gonal theory I -- $t9. Boolean algebras of the n-gonal theory II -- $t10. Rational components of an n-gon -- $t11. Complex components of an n-gon -- $t12. The real components of an n-gon -- $t1. Lattices -- $t2. Cyclotomic polynomials -- $tList of symbols and notations -- $tIndex 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 608 $aElectronic books. 615 0$aPolygons. 615 0$aSet theory. 676 $a516/.22 700 $aBachmann$b Friedrich$f1909-$0983272 702 $aSchmidt$b Eckart 702 $aGarner$b Cyril W. L. 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910460700503321 996 $aN-gons$92244590 997 $aUNINA