Mathematicians survey various aspects of stochastic partial differential equations and their applications in stochastic control theory and physics. Viewing stochastic partial differential equations as stochastic evolution equations in Hilbert spaces and Banach spaces, they draw on modern techniques in the theory of functional analysis, probability, partial differential equations, optimization, random dynamical systems, numerical approximation, and mathematical physics. The material could interest graduate students in mathematics and physics, and researchers in physical applications of the theory of stochastic processes. Annotation ©2020 Ringgold, Inc., Portland, OR (protoview.com)