Abstract. This book analyzes stochastic dynamic systems across a broad spectrum of economics and finance. The major unifying theme is a coherent and rigorous treatment of uncertainty and its implications for describing stochastic processes by the stochastic differential equations of fundamental models. The book consists of three parts: 1. Developments in Stochastic Dynamics; 2. Stochastic Dynamics in Basic Economic Growth Models; 3. Intertemporal Optimization in Consumption, Finance and Growth. This authoritative collection is an important resource for scholars in this vital area of economic research.