This book is intended to give a survey of the whole field of nonlinear dynamics (or “chaos theory”) in compressed form. It covers quite a range of topics besides the standard ones, for example, pde dynamics and Galerkin approximations, critical phenomena and renormalization group approach to critical exponents. The many meanings or measures of “chaos” in the literature are summarized. A precise definition of chaos based on a carefully limited sensitive dependence is offered. An application to quantum chaos is made. The treatment does not emphasize mathematical rigor but insists that the crucial concepts and theorems be mathematically well-defined. Thus topology plays a basic role. This alone makes this book unique among short surveys, where the inquisitive reader must usually be satisfied with colorful similes, analogies, and hand-waving arguments.Richard Ingraham graduated with B.S. summa cum laude in mathematics from Harvard college and with M.A. and Ph.D in Physics from Harvard Graduate School. He was granted the Sheldon Prize Traveling Fellowship by Harvard College and was a member of the Institute for Advanced Study at Princeton for two years.Contents:Introductory RemarksFundamentals of Continuous Time SystemsDiscrete Time Systems: Iteration of MapsHamiltonian SystemsMeasures of ChaosRenormalization GroupPartial Differential EquationsExperimental Realizations of Nonlinear DynamicsReadership: Theoretical physicists, applied mathematicians, engineers and biologists in chaos research.Key Features:By being responsive to the needs of the TBL, enterprises have strived to find solutions to develop systematic plans for implementation. To guide policy and decision makers on choices to initiate sustainability management programs and projects, major innovative initiatives are reviewed in our handbook as follows: benchmarking, process change, sustainability report, designing for the environment, technology management, supplier development, the sustainable society, and green supply chain managementIn our handbook, qualitative (e.g. Cognitive Mapping) and quantitative (e.g. Analytic Hierarchy Process (AHP), Six Sigma) procedures and techniques are treated in the context of social development, environmental protection, and economic development. Using quantitative procedures such as Analytic Hierarchy Process (AHP), for example, policy and decision makers can prioritize the TBL continuous improvement initiatives. The application of quantitative tool is a highly effective way of allocating resources and raising awareness to problems at handTo understand the complexities of sustainability management, our handbook also promotes an awareness of the interrelationships among content, processes, and consequences. In many situations, a nonlinear view is adopted in the handbook. This is evident in a book chapter on system dynamics. To improve coordination between sustainable management implementation team and maintenance team, system dynamics, as discussed in our handbook, is one of the approaches to building understanding about a complex sustainable system