Based on a Brown University course in applied mathematics, this text is designed to prepare readers for the study of differential equations and to show them how to conduct effective literature searche
By focusing on ordinary differential equations that contain a small parameter, this concise graduate-level introduction to the theory of nonlinear oscillations provides a unified approach to obtaining
Validated and proven effective by a Harvard Medical School study and results from tens of thousands of people throughout the world for over a quarter of a century, The Sedona Method is a quick, easy,
Textbook for undergraduate or beginning graduate students in mathematics, science, or engineering presents ideas and examples about the geometry of dynamics and bifurcations of ordinary differential a
Perturbation of the boundary is a rather neglected topic in the study of PDEs for two main reasons. First, on the surface it appears trivial, merely a change of variables and an application of the cha
Builds on an earlier work by J. Hale, Theory of Functional Differential Equations , 1977. Approximately one-third of the material is left intact. A completely new presentation of linear systems for r
This book presents an introduction to the geometric theory of infinite dimensional dynamical systems. Many of the fundamental results are presented for asymptotically smooth dynamical systems that hav
