This is a nicely written book aimed at anyone who has had at least one
semester of calculus. The range of topics addressed is quite impressive.
We see an introduction to mathematical modeling (including a nice
differential equation describing the melting of a snowball), Fermi problems, the
experimental value of dimensional analysis and the Buckingham $\\pi$ Theorem, phyllotaxis and the Fibonacci
sequence, waves, optics, Lyapunov stability, Bessel functions, random walks, and diffusion—all given
through applications appearing in nature!
Every mathematics major should be required to read this book.
The author is Professor of Mathematics at Old Dominion University in
Virginia.