LEADER 03694nam 22006375 450 001 9910349317903321 005 20200705043949.0 010 $a3-030-13609-4 024 7 $a10.1007/978-3-030-13609-3 035 $a(CKB)4100000009606169 035 $a(MiAaPQ)EBC5963185 035 $a(DE-He213)978-3-030-13609-3 035 $a(PPN)258306718 035 $a(EXLCZ)994100000009606169 100 $a20191018d2019 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aGeometry in History /$fedited by S. G. Dani, Athanase Papadopoulos 205 $a1st ed. 2019. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2019. 215 $a1 online resource (759 pages) 311 $a3-030-13608-6 327 $aPlato on Geometry and the Geometers -- Topology and Biology: From Aristotle to Thom -- Time and eriodicity from Ptolemy to Schrödinger: Paradigm Shifts vs Continuity in History of Mathematics -- Convexity in Greek Antiquity -- On the Concept of Curve: Geometry and Algebra, fromMathematicalModernity to MathematicalModernism -- From Euclid to Riemann and Beyond: How to Describe the Shape of the Universe -- A Path in History, from Curvature to Convexity -- The Axiomatic Destiny of the Theorems of Pappus and Desargues -- Projective Configuration Theorems: Old Wine into New Wineskins -- Poincaré?s GeometricWorldview and Philosophy -- Perturbing a Planar Rotation: Normal Hyperbolicity and Angular Twist -- René Thom and an Anticipated h-Principle -- Rigid and Flexible Facets of Symplectic Topology -- Flat Affine, Projective and Conformal Structures on Manifolds: A Historical Perspective -- Basic Aspects of Differential Geometry -- The Global Study of Riemannian-Finsler Geometry -- The Poincaré Conjecture and Related Statements -- A Glimpse into the Problems of the Fourth Dimension -- Memories fromMy Former Life: The Making of a Mathematician -- Index. 330 $aThis is a collection of surveys on important mathematical ideas, their origin, their evolution and their impact in current research. The authors are mathematicians who are leading experts in their fields. The book is addressed to all mathematicians, from undergraduate students to senior researchers, regardless of the specialty. 606 $aProjective geometry 606 $aMathematics 606 $aHistory 606 $aTopology 606 $aFunctions of complex variables 606 $aProjective Geometry$3https://scigraph.springernature.com/ontologies/product-market-codes/M21050 606 $aHistory of Mathematical Sciences$3https://scigraph.springernature.com/ontologies/product-market-codes/M23009 606 $aTopology$3https://scigraph.springernature.com/ontologies/product-market-codes/M28000 606 $aFunctions of a Complex Variable$3https://scigraph.springernature.com/ontologies/product-market-codes/M12074 615 0$aProjective geometry. 615 0$aMathematics. 615 0$aHistory. 615 0$aTopology. 615 0$aFunctions of complex variables. 615 14$aProjective Geometry. 615 24$aHistory of Mathematical Sciences. 615 24$aTopology. 615 24$aFunctions of a Complex Variable. 676 $a516.009 676 $a516.009 702 $aDani$b S. G$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aPapadopoulos$b Athanase$4edt$4http://id.loc.gov/vocabulary/relators/edt 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910349317903321 996 $aGeometry in History$91732490 997 $aUNINA