Nonlinear Science: Emergence and Dynamics of Coherent Structures

A textbook for an advanced undergraduate course introducing nonlinear science. It explains the theory, methods, and consequences of current thinking that physical phenomena cannot always be broken down into a series of simple causes and effects, which are solved one by one; but in many cases are nonlinear, and the whole is greater than the sum of its parts, leading to the emergence of new structures that are spatially or temporally coherent. The 1991 first edition has been revised in light of ex…