Preface; 1. Probability space; 2. Probability distributions and random variables; 3. Product measure and independence; 4. Conditional expectation; 5. Sequences of random variables; Index.
A rigorous, unfussy introduction to modern probability theory that focuses squarely on applications in finance.
Ekkehard Kopp is Emeritus Professor of Mathematics at the University of Hull, where he taught courses at all levels in analysis, measure and probability, stochastic processes and mathematical finance between 1970 and 2007. His editorial experience includes service as founding member of the Springer Finance series (1998-2008) and the Cambridge University Press AIMS Library Series. He has taught in the UK, Canada and South Africa and he has authored more than 50 research publications and five books. Jan Malczak has published over 20 research papers. He has taught courses in analysis, differential equations, measure and probability, and in the theory of stochastic differential processes, mainly at the Jagiellonian University in Krakow. He has supervised about 60 MSc dissertations, mostly in mathematical finance. He is now Professor of Mathematics in the Faculty of Applied Mathematics at AGH University of Science and Technology in Krakow, Poland. Tomasz Zastawniak holds the Chair of Mathematical Finance at the University of York. He has authored about 50 research publications and four books. He has supervised four PhD dissertations and around 80 MSc dissertations in mathematical finance.