{PDF} An introduction to continuous-time stochastic processes: theory, models, and applications to finance, biology, and medicine Vincenzo Capasso, David Bakstein

Here is an introduction to the theory of continuous-time stochastic processes. A balance of theory and applications, the work features concrete examples of modeling real-world problems from engineering, biomathematics, industrial mathematics, and finance using stochastic methods.? Key topics include:

??Interacting particles, from polymers to ants

??Population dynamics: birth and death processes

??Financial market models: the non-arbitrage principle

? Option pricing: the risk-neutral valuation theory

An Introduction to Continuous-Time Stochastic Processes will be of interest to a broad audience of students, pure and applied mathematicians, and researchers or practitioners in mathematical finance, biomathematics, biotechnology, and engineering.? Suitable as a textbook for graduate or advanced undergraduate courses, the work may also be used for self-study or as a reference.