TY - BOOK AU - Löffler,Andreas AU - Kruschwitz,Lutz ED - SpringerLink (Online service) TI - The Brownian Motion: A Rigorous but Gentle Introduction for Economists T2 - Springer Texts in Business and Economics, SN - 9783030201036 AV - HG1-9999 U1 - 332 23 PY - 2019/// CY - Cham PB - Springer International Publishing, Imprint: Springer KW - Finance KW - Economic theory KW - Business enterprises—Finance KW - Economics, Mathematical  KW - Statistics  KW - Finance, general KW - Economic Theory/Quantitative Economics/Mathematical Methods KW - Business Finance KW - Quantitative Finance KW - Statistics for Business, Management, Economics, Finance, Insurance N1 - Introduction -- Set Theory -- Measures and Probabilities -- Random Variables -- Expectation and Lebesque Integral -- Wiener's Construction of the Brownian motion -- Supplements -- References -- Index; Open Access N2 - This 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. UR - https://doi.org/10.1007/978-3-030-20103-6 ER -