LEADER 03107nam 2200613Ia 450 001 9910817453703321 005 20230331010913.0 010 $a0-19-772721-2 010 $a1-283-09795-8 010 $a9786613097958 010 $a0-19-977048-4 035 $a(CKB)2670000000078316 035 $a(EBL)679623 035 $a(OCoLC)712015986 035 $a(SSID)ssj0000538991 035 $a(PQKBManifestationID)11360936 035 $a(PQKBTitleCode)TC0000538991 035 $a(PQKBWorkID)10560706 035 $a(PQKB)11562771 035 $a(Au-PeEL)EBL679623 035 $a(CaPaEBR)ebr10465690 035 $a(Au-PeEL)EBL4786938 035 $a(CaONFJC)MIL309795 035 $a(OCoLC)1024276407 035 $a(MiAaPQ)EBC679623 035 $a(EXLCZ)992670000000078316 100 $a19950113h19901972 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aMathematical thought from ancient to modern times$hVolume 3$b[electronic resource] /$fMorris Kline 210 $aNew York $cOxford University Press$d1990, c1972 215 $a1 online resource (439 p.) 300 $aDescription based upon print version of record. 311 $a0-19-506137-3 320 $aIncludes bibliographical references and index. 327 $aCover; Contents; 34. The Theory of Numbers in the Nineteenth Century; 35. The Revival of Projective Geometry; 36. Non-Euclidean Geometry; 37. The Differential Geometry of Gauss and Riemann; 38. Projective and Metric Geometry; 39. Algebraic Geometry; 40. The Instillation of Rigor in Analysis; 41. The Foundations of the Real and Transfinite Numbers; 42. The Foundations of Geometry; 43. Mathematics as of 1900; 44. The Theory of Functions of Real Variables; 45. Integral Equations; 46. Functional Analysis; 47. Divergent Series; 48. Tensor Analysis and Differential Geometry 327 $a49. The Emergence of Abstract Algebra50. The Beginnings of Topology; 51. The Foundations of Mathematics; List of Abbreviations; Index 330 $aThis comprehensive history traces the development of mathematical ideas and the careers of the men responsible for them. Volume 1 looks at the discipline's origins in Babylon and Egypt, the creation of geometry and trigonometry by the Greeks, and the role of mathematics in the medieval and early modern periods. Volume 2 focuses on calculus, the rise of analysis in the 19th century, and the number theories of Dedekind and Dirichlet. The concluding volume covers the revival of projective geometry, the emergence of abstract algebra, the beginnings of topology, and the influence of Godel on recent 606 $aMathematics$xHistory 606 $aMathematical analysis$xHistory 615 0$aMathematics$xHistory. 615 0$aMathematical analysis$xHistory. 676 $a510.9 700 $aKline$b Morris$f1908-1992.$01118 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910817453703321 996 $aMathematical thought from ancient to modern times$9348596 997 $aUNINA