This textbook offers an accessible yet rigorous development of many of the fields of mathematics necessary for success in investment and quantitative finance, covering topics applicable to portfolio theory, investment banking, option pricing, investment and insurance risk management.

Each chapter covers an area of mathematics, from mathematical logic to probability theory to calculus, focuses on the most important and relevant topics for quantitative finance, and then develops finance applications for the materials presented. The objective is to teach undergraduate finance students how to “think in mathematics” rather than simply to do mathematics by rote.

The student solutions manual provides solutions to the book’s Practice Exercises; an instructor’s manual offers solutions to the Assignment Exercises as well as other materials.