Mao (statistics and modeling science, U. of Strathclyde) has thoroughly revised this advanced undergraduate and graduate text, in part to describe several popular stochastic models and applications in population systems and finance. He covers generalized Gronwall inequality and Bihari inequality, Brownian motions and stochastic intervals, analysis of Ito and Feynman-Kac formulas, the Ruzumikhin technique of the Lyapunov method, approximate solutions to stochastic differential equations according to Cauchy-Marayama and Carathedory methods. Appropriate for pure and applied mathematicians, statisticians, engineers in control and communications, information scientists, physicists and economists. Previously published under title Stochastic Differential Equations and their Applications in 1997. Distributed by ISBS. Annotation ©2009 Book News, Inc., Portland, OR (booknews.com)