Mathematics for Finance: An Introduction to Financial Engineering

This text is an excellent introduction to Mathematical Finance. Armed with a knowledge of basic calculus and probability a student can use this book to learn about derivatives, interest rates and their term structure and portfolio management. The text serves as an easily understood introduction to the economic concepts but also manages to cover the topics in a mathematically rigorous manner.

It presents three major areas of mathematical finance, namely Option pricing based on the no-arbitrage principle in discrete and continuous time setting, Markowitz portfolio optimisation and Capital Asset Pricing Model, and basic stochastic interest rate models in discrete setting.