Emergence of new structures that reflect reality much more closely this second edition of nonlinear science covers several important areas of nonlinear science and places a strong emphasis on applications to realistic problems it includes numerous new topics such as empirical results in molecular dynamics solid state physics neuroscience fluid dynamics and biophysics numerous new . Models assuming nonlinear systems however lead to the emergence of new structures that reflect reality much more closely this second edit much mathematical modeling has involved the assumption that physical systems are approximately linear leading to the construction of equations which although relatively easy to solve are unrealistic and overlook significant phenomena. Nonlinear science emergence and dynamics of coherent structures second edition alwyn scott oxford texts in applied and engineering mathematics clear introductory discussions of underlying theories in nonlinear science includes physical and biological applications contains over 350 problems with hints for solutions more than thirty new . Stanford libraries official online search tool for books media journals databases government documents and more. When faced with a nonlinear equation today most students immediately race to solve the problem with a computer thereby missing the opportunity to ever observe new qualitative structures that emerge from the nonlinear mathematics to go past this bottleneck the author starts with a historical review of the experimental and theoretical developments in nonlinear science which often amazes the