MATH 3733 - Stochastic Financial Modelling Books recommended: Baxter, Martin, Rennie, Andrew Financial Calculus Cambridge University Press 1996 Neftci, Salih N. An Introduction to the Mathematics of Financial Derivatives Harcourt Publishers Ltd, 1996 Capinski, M. and Zastawniak, T. Mathematics for finance: an introduction to financial engineering London: Springer, 2003. Shiryaev, Albert N. Essentials of Stochastic Finance: Facts, Models, Theory World Scientific Publishing Company 1999 Wilmott, Paul, Dewyne, Jeff, Howison, Sam The Mathematics of Financial Derivatives Cambridge University Press 1995 Additional reading: Shreve, S.E., Stochastic calculus for finance 1, The Binomial asset pricing model Springer, 2005 Some textbooks in German, Chinese, French [no guarantee about links!] Stanley R. Pliska: "Introduction to Mathematical Finance - Discrete Time Models", Blackwell Publishers, 1997. A Chinese edition of this book is available: Economic Science Press, www.esp.com.cn, ISBN: 7-5058-2995-5. Einführung in die Stochastik der Finanzmärkte, Klaus Sandmann http://www.amazon.de/gp/product/3540679545/303-5957656-3850656?v=glance&n=29 9956 Introduction to Stochastic Calculus Applied to Finance, D Lamberton, B Lapeyre, 1996, Chapman & Hall & Introduction au calcul stochastique appliqué à la finance, D Lamberton, B Lapeyre - 1997 - Ellipses The first three books are MOST useful. The fifth one is more special and technical; it is good for studying the notion of American options and approximation methods, topics suitable for projects. The fourth one is rather good for reading some sections with a minimum of formulas. There also exists later editions of some of the books; all of them are equally useful. The textbook by Shreve may be considered as advanced, despite its easier level of discrete time settings. The three last textbooks are just to help our students with some other native languages.