Fifty papers presented at the Tenth Annual International Conference of the Los Alamos National Laboratory Center for Nonlinear Studies, May 1990, are organized around three paradigms that have come to dominate the deterministic chaos and nonlinear dynamics, solutions and coherent structures, and patterns and turbulence. Reprinted from Physica D , v.51, nos.1-3, 1991. Annotation copyright Book News, Inc. Portland, Or.