The theory of stochastic integration, also called the Ito calculus, has a large spectrum of applications in virtually every scientific area involving random functions. This introductory textbook on stochastic integration provides a concise introduction to the Ito calculus, and covers the constructions of Brownian motion, stochastic integrals for Brownian motion and martingales, the Ito formula, multiple Wiener-Ito integrals, stochastic differential...