Tremendously valuable book for its selection and excellent treatment of many rarely addressed aspects of financial derivatives and the care with which intuition for these aspects is developed.
Financial mathematics exists at the intersection of many different fields, yielding many possible perspectives from which to teach and learn about this discipline. Many of these perspectives bog down in the rigor of their respective fields. Such approaches render it difficult to absorb and apply core concepts without spending a great deal of time in first learning topics such as advanced probability theory and stochastic calculus.
Dr. Crack's approach seems to be to develop the intuition as a framework for understanding further advanced study, should it be warranted by the reader. At the same time, he includes many aspects of the underlying science to help bridge the gap between the academic world and the world of trading.
For example, his derivation of the solution to the Black-Scholes equation and subsequent analysis of the components of the solution leaves the reader fully prepared to quickly and intelligently grasp the impact of changes in assumptions. This is in contrast to many treatments that seem to stop at the solution, leaving the reader feeling as though the Black-Scholes solution is simply a black-box with no intuitive connection to the real world.