另外再推荐几本书:Brownian motion and stochastc calculus Kanratzas&Shreve
Stochastic calculus for finance I,II Shreve
Statistics of Random Processes(I General theory) Lipster, Shiryaev (此书绝对经典,几乎包括在所有asset pricing paper的references中)
Continuous-time finance Merton
Pricing and hedging of derivative securities Nielson
Markov Processes-characterization and convergence Ethier&Kurtz