Introduction to Stochastic Calculus (Hardbound - 2018)

About the Book
Defines quadratic variation of a square integrable martingale
Demonstrates pathwise formulae for the stochastic integral
Uses the technique of random time change to study the solution of a stochastic differential equation
Studies the predictable increasing process to introduce predictable stopping times and prove the Doob Meyer decomposition theorem
Is useful for a two-semester graduate level course on measure theory and probability