For students and researchers in applied mathematics who are interested in science and engineering, E, Li, and Vanden-Eijnden provide a mathematically solid introduction to the basic ideas and tools in probability theory and stochastic analysis. They begin with the basics of random variables and probability theory, then go on to limit theorems, Markov chains, diffusion processes, and random fields. Because they assume readers to have some background in differential equations, they put more weight on the differential equation approach, and neglect martingale theory entirely, even though it is a very important part of stochastic analysis. Annotation ©2019 Ringgold, Inc., Portland, OR (protoview.com)
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Weinan E, Princeton University, NJ.
Tiejun Li, Peking University, Beijing, China.
Eric Vanden-Eijnden, Courant Institute of Mathematical Sciences, New York, NY.
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