This introduction to nonlinear physics is designed around Maple's ability to perform symbolic computations, plot, animate, and permit readers to investigate nonlinear models. The primary focus is the problem of dealing with physical phenomena described by nonlinear ordinary or partial differential equations. Previously published in two volumes, this new edition has been combined into one comprehensive volume, including a disk containing Maple code. Along with expansions of the theoretical part, this second edition also features many new and improved examples, Maple experiments and files, and all Maple code has been updated to Release 5.