Now a vital part of modern economies, the rapid growth of the finance industry in recent decades is largely due to the development of mathematical methods such

The aim of this volume is to explain the differences between research-level mathematics and the maths taught at school. Most differences are philosophical and t

This sequel to Brownian Motion and Stochastic Calculus by the same authors develops contingent claim pricing and optimal consumption/investment in both complete

Mathematics is playing an increasing important role in society and the sciences, enhancing our ability to use models and handle data. While pure mathematics is

This textbook aims to fill the gap between those that offer a theoretical treatment without many applications and those that present and apply formulas without