From Measures to It Integrals gives a clear account of measure theory, leading via L2-theory to Brownian motion, It integrals and a brief look at martingale calculus. Modern probability theory and the applications of stochastic processes rely heavily on an understanding of basic measure theory. This text is ideal preparation for graduate-level courses in mathematical finance and perfect for any reader seeking a basic understanding of the mathematics underpinning the various applications of It calculus.
Preface; 1. Probability and measure; 2. Measures and distribution functions; 3. Measurable functions/random variables; 4. Integration and expectation; 5. Lp-spaces and conditional expectation; 6. Discrete-time martingales; 7. Brownian motion; 8. Stochastic integrals; Bibliography; Index.
Accessing your eBook through Kortext
Once purchased, you can view your eBook through the Kortext app, available to download for Windows, Android and iOS devices. Once you have downloaded the app, your eBook will be available on your Kortext digital bookshelf and can even be downloaded to view offline anytime, anywhere, helping you learn without limits.
In addition, you'll have access to Kortext's smart study tools including highlighting, notetaking, copy and paste, and easy reference export.
To download the Kortext app, head to your device's app store or visit https://app.kortext.com to sign up and read through your browser.
NB: eBook is only available for a single-user licence (i.e. not for multiple / networked users).