1. Casti J. L. (1992a) Reality rules I: Picturing the World in Mathematics—The Fundamentals. Wiley Interscience, New York. This volume is a delightful introduction to the intellectual approach to modeling. This chapter has used Casti’s approach in a simplified fashion, and his book is the logical next step to expand your horizons.
2. Casti J. L. (1992b) Reality rules II: Picturing the World in Mathematics—The Frontier. Wiley Interscience, New York. Going beyond the first volume, this exposition is just as much fun and intellectually satisfying as the first volume.
3. Feynman R. P., Leighton R. B., and Sands M. (1963) Atoms in Motion, Lecture #1 in The Feynman Lectures on Physics, vol. 1. Addison-Wesley Publishing Co., Reading, MA. In classic Feynman style, he explains the approach to theory, experiment, observable, and abstraction.
4. Russell B. (1945) A History of Western Philosophy. Touchstone/Simon and Schuster, New York. Fun to read and accessible discourse on philosophy for the nonprofessional philosopher. Bertrand Russell was a mathematician, and his scientific tilt makes the scientist at ease with the subject.
5. Murray J. D. (1991) Mathematical Biology, 2d ed. Springer Verlag, New York/Berlin/Heidelberg. This textbook devotes a detailed chapter to a selection of 20 fundamental processes of biological interest. Each chapter describes and explores these models. Included are models important to our study such as waves of diffusion, population growth, reaction mechanisms, enzyme kinetics, biological oscillators, and so on. Detailed and from the mathematician’s point of view.