This book is a self-contained account of the theory of viscosity
solutions for first-order partial differential equations of
Hamilton-Jacobi type and its interplay with Bellman's dynamic
programming approach to optimal control and differential games. This is
an affordable new softcover edition of a bestselling text replete with
exercises. It will be of interest to scientists involved in the theory
of optimal control of deterministic linear and nonlinear systems. The
work may be used by graduate students and researchers in control theory
both as an introductory textbook and as an up-to-date reference book.