LEADER 03210nam 22007095 450 001 9910349363003321 005 20230810164821.0 010 $a3-030-20103-1 024 7 $a10.1007/978-3-030-20103-6 035 $a(CKB)4100000008618317 035 $a(DE-He213)978-3-030-20103-6 035 $a(MiAaPQ)EBC5917773 035 $a(Au-PeEL)EBL5917773 035 $a(OCoLC)1110741362 035 $a(oapen)https://directory.doabooks.org/handle/20.500.12854/29952 035 $a(EXLCZ)994100000008618317 100 $a20190702d2019 u| 0 101 0 $aeng 135 $aurnn#008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 14$aThe Brownian Motion $eA Rigorous but Gentle Introduction for Economists /$fby Andreas Löffler, Lutz Kruschwitz 205 $a1st ed. 2019. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2019. 215 $a1 online resource (X, 125 p. 49 illus., 15 illus. in color.) 225 1 $aSpringer Texts in Business and Economics,$x2192-4341 311 $a3-030-20102-3 327 $aIntroduction -- Set Theory -- Measures and Probabilities -- Random Variables -- Expectation and Lebesque Integral -- Wiener's Construction of the Brownian motion -- Supplements -- References -- Index. 330 $aThis open access textbook is the first to provide Business and Economics Ph.D. students with a precise and intuitive introduction to the formal backgrounds of modern financial theory. It explains Brownian motion, random processes, measures, and Lebesgue integrals intuitively, but without sacrificing the necessary mathematical formalism, making them accessible for readers with little or no previous knowledge of the field. It also includes mathematical definitions and the hidden stories behind the terms discussing why the theories are presented in specific ways. . 410 0$aSpringer Texts in Business and Economics,$x2192-4341 606 $aFinance 606 $aEconometrics 606 $aBusiness enterprises$xFinance 606 $aSocial sciences$xMathematics 606 $aStatistics 606 $aFinancial Economics 606 $aQuantitative Economics 606 $aCorporate Finance 606 $aMathematics in Business, Economics and Finance 606 $aStatistics in Business, Management, Economics, Finance, Insurance 615 0$aFinance. 615 0$aEconometrics. 615 0$aBusiness enterprises$xFinance. 615 0$aSocial sciences$xMathematics. 615 0$aStatistics. 615 14$aFinancial Economics. 615 24$aQuantitative Economics. 615 24$aCorporate Finance. 615 24$aMathematics in Business, Economics and Finance. 615 24$aStatistics in Business, Management, Economics, Finance, Insurance. 676 $a332 676 $a332 700 $aLöffler$b Andreas$4aut$4http://id.loc.gov/vocabulary/relators/aut$0883120 702 $aKruschwitz$b Lutz$4aut$4http://id.loc.gov/vocabulary/relators/aut 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910349363003321 996 $aThe Brownian Motion$92169565 997 $aUNINA