Measure, Integral and Probability is a gentle introduction that makes measure and integration theory accessible to the average third-year undergraduate student. The ideas are developed at an easy pace in a form that is suitable for self-study, with an emphasis on clear explanations and concrete exam[...]
This volume aims to provide students with a thorough understanding of the subject as it is covered on first year courses. The focus is on real functions, and examines the concepts of continuity, differentiability and integrability in particular.[...]
Recent years have seen a number of introductory texts which focus on the applications of modern stochastic calculus to the theory of finance, and on the pricing models for derivative securities in particular. Some of these books develop the mathematics very quickly, making substantial demands on the[...]
Master the essential mathematical tools required for option pricing within the context of a specific, yet fundamental, pricing model.[...]
A rigorous, unfussy introduction to modern probability theory that focuses squarely on applications in finance.[...]
This book explains in simple settings the fundamental ideas of financial market modelling and derivative pricing, using the no-arbitrage principle. Relatively elementary mathematics leads to powerful notions and techniques - such as viability, completeness, self-financing and replicating strategies,[...]
Introduces key results essential for financial practitioners by means of concrete examples and a fully rigorous exposition.[...]
Master the essential mathematical tools required for option pricing within the context of a specific, yet fundamental, pricing model.[...]
A rigorous, unfussy introduction to modern probability theory that focuses squarely on applications in finance.[...]
An excellent basis for further study. Suitable even for readers with no mathematical background.