often in depth -- of modern themes in statistical mathematical physics. Its overall theme is the intimate connection between concepts of quantum fluctuations, expressed via Fisher information, diffusion processes, etc., on one hand, to the so-called "quantum potential" of Bohm on the other. A tremendous range of modern physical theory is presented, of which but a tiny subset can be mentioned in this review. The concept of the quantum potential was championed based version of elementary quantum mechanics (the trajectories existing at least as a handy "illusion," according to the author.). The Bohm potential has lately been used for similar purposes and Fisher- varieties) and entropy are widely used throughout. The Bohm potential is also used in the duality theory of Faraggi and Matone and in many other concepts of modern quantum theory. The view of physics afforded level theoretical physicist or mathematician, and the writing style is informal and (as a result) informative. There is a wealth of expository material on the aims and accomplishments of the theories. I heartily recommend the book to any physicist or mathematician who wants an in-depth view of today's statistical physics, particularly its tie-ins to the Bohm potential.