Writing for mathematicians working in the theory of dynamical systems and related areas, as well as for scientists interested in applying the theory in their fields, Anashin (Institute for Information Security, Moscow State U., Russia) and Khremikov (International Center for Mathematical Modeling, Vaxjo U., Sweden) develop methods of algebraic dynamics and apply them to problems from computer science, cryptology, theoretical physics, cognitive science, psychology, neurophysiology, and genetics. They cover both commutative and non-commutative non-Archimedean dynamics. Applications involve pseudorandom numbers, stream ciphers, structure of trajectories, p-adic probability theory, p-adic valued quantization, m-adic modeling in cognitive science and psychology, neuronal hierarchy behind the ultrametic mental space, gene expression from dynamics in the 2-adic space, and genetic code on the diadic plane. Annotation ©2009 Book News, Inc., Portland, OR (booknews.com)