Master the intricacies of continuous-time stochastic processes with this essential guide. Delve into the foundational theory of stochastic calculus, exploring martingales and Itô calculus. Discover crucial models and their vital applications across finance, biology, and medicine, from option pricing to population dynamics. This text is an indispensable resource for graduate students, researchers, and professionals in quantitative finance, applied mathematics, and scientific modeling seeking to understand complex dynamic systems. Enhance your analytical toolkit for critical research and development in India and beyond.