LEADER 04370nam 22006375 450 001 9910257424803321 005 20200705035023.0 010 $a3-540-47058-1 024 7 $a10.1007/3-540-55408-4 035 $a(CKB)1000000000233807 035 $a(SSID)ssj0000320742 035 $a(PQKBManifestationID)12087862 035 $a(PQKBTitleCode)TC0000320742 035 $a(PQKBWorkID)10249717 035 $a(PQKB)11269795 035 $a(DE-He213)978-3-540-47058-8 035 $a(PPN)155228838 035 $a(EXLCZ)991000000000233807 100 $a20121227d1992 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$a1830?1930: A Century of Geometry$b[electronic resource] $eEpistemology, History and Mathematics /$fedited by Luciano Boi, Dominique Flament, Jean-Michel Salanskis 205 $a1st ed. 1992. 210 1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d1992. 215 $a1 online resource (VIII, 304 p. 1 illus.) 225 1 $aLecture Notes in Physics,$x0075-8450 ;$v402 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a3-540-55408-4 327 $aThe birth of non-Euclidean geometry -- Riemann's vision of a new approach to geometry -- Poincaré and Klein ? groups and geometries -- Klein, Lie, and the ?Erlanger programm? -- Apparent contours from Monge to Todd -- L'Espace : Concept abstrait et/ou physique ; la géométrie entre formalisation mathématique et etude de la nature -- Geometrie und Erfahrung -- The geometric challenge of Riemann and Clifford -- Poincaré et Enriques : deux points de vue différents sur les relations entre géométrie, mécanique et physique -- Physical geometry and special relativity. Einstein et Poincaré -- Transport parallèle et connexions en Géométrie et en Physique -- De la Géométrie Formelle à l'Algèbre Abstraite -- Le Principe de Dualité : sa Signification Historique et Epistémologique -- The formal and the transcendental in mathematics -- Un Panorama des Mathématiques -- Mathematical progress as synthesis of intuition and calculus -- What is space? -- La ?lineale ausdehnungslehre? (1844) de Hermann Günther Grassmann -- La capture de l'extension comme dialectique géométrique : Dimension et puissance selon l'ausdehnung de Grassmann (1844) -- Helmholtz and Poincaré's considerations on the genesis of geometry -- Le continu contre l'espace -- Geometrical concepts in quantum physics -- Physics and differential geometry -- Actuality of transcendental æsthetics for modern physics. 330 $aIn the first half of the 19th century geometry changed radically, and withina century it helped to revolutionize both mathematics and physics. It also put the epistemology and the philosophy of science on a new footing. In this volume a sound overview of this development is given by leading mathematicians, physicists, philosophers, and historians of science. This interdisciplinary approach gives this collection a unique character. It can be used by scientists and students, but it also addresses a general readership. 410 0$aLecture Notes in Physics,$x0075-8450 ;$v402 606 $aMathematical physics 606 $aGeometry 606 $aMathematical analysis 606 $aAnalysis (Mathematics) 606 $aTheoretical, Mathematical and Computational Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/P19005 606 $aGeometry$3https://scigraph.springernature.com/ontologies/product-market-codes/M21006 606 $aAnalysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M12007 615 0$aMathematical physics. 615 0$aGeometry. 615 0$aMathematical analysis. 615 0$aAnalysis (Mathematics). 615 14$aTheoretical, Mathematical and Computational Physics. 615 24$aGeometry. 615 24$aAnalysis. 676 $a516/.009/034 702 $aBoi$b Luciano$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aFlament$b Dominique$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aSalanskis$b Jean-Michel$4edt$4http://id.loc.gov/vocabulary/relators/edt 906 $aBOOK 912 $a9910257424803321 996 $a1830?1930: A Century of Geometry$92525591 997 $aUNINA