LEADER 03779nam0 22006853i 450 001 VAN00269151 005 20260703022118.438 017 70$2N$a9781475738315 035 40$a860421074 100 $a20240103d1989 |0itac50 ba 101 $aeng 102 $aUS 105 $a|||| ||||| 181 $ai$b e 182 $ab 183 $acr 200 1 $aˆA ‰course in modern geometries$fJudith N. Cederberg 210 $aNew York$cSpringer$d1989 215 $axii, 232 p.$d24 cm 327 $aA Course in Modern Geometries is designed for a junior-senior level course for mathematics majors, including those who plan to teach in secondary school. Chapter 1 presents several finite geometries in an axiomatic framework. Chapter 2 introduces Euclid's geometry and the basic ideas of non-Euclidean geometry. The synthetic approach of Chapters 1 - 2 is followed by the analytic treatment of transformations of the Euclidean plane in Chapter 3. Chapter 4 presents plane projective geometry both synthetically and analytically. The extensive use of matrix representations of groups of transformations in Chapters 3 - 4 reinforces ideas from linear algebra and serves as excellent preparation for a course in abstract algebra. Each chapter includes a list of suggested sources for applications and/or related topics. 410 1$1001VAN00024019$12001 $aUndergraduate texts in mathematics$1210 $aBerlin [etc.]$cSpringer$d1958- 500 1$3VAN00305356$aˆA ‰course in modern geometries$983044 606 $a51-XX$xGeometry [MSC 2020]$3VANC019810$2MF 606 $a51A05$xGeneral theory of linear incidence geometry and projective geometries [MSC 2020]$3VANC023611$2MF 606 $a51A30$xDesarguesian and Pappian geometries [MSC 2020]$3VANC023672$2MF 606 $a51E15$xFinite affine and projective planes (geometric aspects) [MSC 2020]$3VANC021265$2MF 606 $a51M05$xEuclidean geometries (general) and generalizations [MSC 2020]$3VANC023698$2MF 606 $a51M10$xHyperbolic and elliptic geometries (general) and generalizations [MSC 2020]$3VANC020835$2MF 606 $a51N10$xAffine analytic geometry [MSC 2020]$3VANC023706$2MF 606 $a51N15$xProjective analytic geometry [MSC 2020]$3VANC019818$2MF 606 $a51N20$xEuclidean analytic geometry [MSC 2020]$3VANC023720$2MF 606 $a94B05$xLinear codes, general [MSC 2020]$3VANC025233$2MF 610 $aAbstract Algebra$9KW:K 610 $aAlgebra$9KW:K 610 $aDesign$9KW:K 610 $aFinite$9KW:K 610 $aForms$9KW:K 610 $aFrameworks$9KW:K 610 $aGeometry$9KW:K 610 $aLinear algebra$9KW:K 610 $aMathematics$9KW:K 610 $aMatrix$9KW:K 610 $aNon-Euclidean Geometry$9KW:K 610 $aPresentations$9KW:K 610 $aProjective geometry$9KW:K 610 $aTransformations$9KW:K 620 $aUS$dNew York$3VANL000011 700 1$aCederberg$bJudith N.$3VANV043715$055381 712 $aSpringer $3VANV108073$4650 790 1$aCederberg, J. N.$zCederberg, Judith N.$3VANV264753 790 1$aCederberg, J.N.$zCederberg, Judith N.$3VANV264754 790 1$aCederberg, Judith Nancy$zCederberg, Judith N.$3VANV264752 801 $aIT$bSOL$c20260911$gRICA 856 4 $uhttps://doi.org/10.1007/978-1-4757-3831-5$zE-book ? Accesso al full-text attraverso riconoscimento IP di Ateneo, proxy e/o Shibboleth 899 $aBIBLIOTECA DEL DIPARTIMENTO DI MATEMATICA E FISICA$1IT-CE0120$2VAN08 912 $fN 912 $aVAN00269151 950 $aBIBLIOTECA DEL DIPARTIMENTO DI MATEMATICA E FISICA$d08DLOAD e-book 7929 $e08eMF7929 20240202 996 $aCourse in modern geometries$983044 997 $aUNICAMPANIA