This book provides a first basic introduction into the valuation of financial options via the
numerical solution of partial differential equations (PDEs). It provides readers with an easily
accessible text explaining main concepts models methods and results that arise in this
approach. In keeping with the series style emphasis is placed on intuition as opposed to full
rigor and a relatively basic understanding of mathematics is sufficient. The book provides a
wealth of examples and ample numerical experiments are givento illustrate the theory. The main
focus is on one-dimensional financial PDEs notably the Black-Scholes equation. The book
concludes with a detailed discussion of the important step towards two-dimensional PDEs in
finance.