LEADER 03034nam 2200577 450 001 9910466587503321 005 20200520144314.0 010 $a3-11-052153-9 010 $a3-11-052150-4 024 7 $a10.1515/9783110521504 035 $a(CKB)4100000006999675 035 $a(MiAaPQ)EBC5625079 035 $a(DE-B1597)473888 035 $a(OCoLC)1049575433 035 $a(DE-B1597)9783110521504 035 $a(Au-PeEL)EBL5625079 035 $a(EXLCZ)994100000006999675 100 $a20190115d2018 uy 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aGeometry and discrete mathematics $ea selection of highlights /$fBenjamin Fine, [and four others] 210 1$aBerlin ;$aBoston :$cDe Gruyter,$d[2018] 210 4$dİ2018 215 $a1 online resource (296 pages) 225 1 $aDe Gruyter textbook 311 $a3-11-052145-8 320 $aIncludes bibliographical references and index. 327 $aGeometry and geometric ideas -- Isometries in Euclidean vector spaces and their classication in Rn -- The conic sections -- Special groups of planar isometries -- Graph theory -- Linear fractional transformation and planar hyperbolic geometry -- Combinatorics and combinatorial problems -- Finite probability theory and Bayesian analysis -- Boolean lattices, boolean algebras and Stone's theorem. 330 $aThis two-volume set collects and presents many fundamentals of mathematics in an enjoyable and elaborating fashion. The idea behind the two books is to provide substantials for assessing more modern developments in mathematics and to present impressions which indicate that mathematics is a fascinating subject with many ties between the diverse mathematical disciplines. The present volume examines many of the most important basic results in geometry and discrete mathematics, along with their proofs, and also their history. ContentsGeometry and geometric ideasIsometries in Euclidean vector spaces and their classification in ?nThe conic sections in the Euclidean planeSpecial groups of planar isometriesGraph theory and platonic solidsLinear fractional transformation and planar hyperbolic geometryCombinatorics and combinatorial problemsFinite probability theory and Bayesian analysisBoolean lattices, Boolean algebras and Stone's theorem 410 0$aDe Gruyter textbook. 606 $aGeometry$vTextbooks 606 $aComputer science$xMathematics$vTextbooks 608 $aElectronic books. 615 0$aGeometry 615 0$aComputer science$xMathematics 676 $a516 700 $aFine$b Benjamin$f1948-$056763 702 $aGaglione$b Anthony, 702 $aMoldenhauer$b Anja, 702 $aRosenberger$b Gerhard, 702 $aSpellman$b Dennis, 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910466587503321 996 $aGeometry and discrete mathematics$92480921 997 $aUNINA