Statistics of Financial Markets: An Introduction (Universitext)
Jürgen Franke, Wolfgang K. Härdle, Christian Matthias Hafner
This book was such a relief after going through tens of books/lectures notes on stochastic calculus. Most math books give the theory behind Ito calculus (martingales, measure theory etc.), but fail to give the motivation and reasoning behind abstract definitions. This book does an excellent job in deriving many seemingly-complicated math formulas (or, theorems) using intuitive terms. It is an excellent read for people who have a reasonable background in probability theory, and are wishing to learn stochastic calculus (plus finance). I strongly recommend it to anyone who wants to learn the rudiments of Ito integral and see its applications in finance.
