Drawing examples from mathematics, physics, chemistry, biology,
engineering, economics, medicine, politics, and sports, this book
illustrates how nonlinear dynamics plays a vital role in our world.
Examples cover a wide range from the spread and possible control of
communicable diseases, to the lack of predictability in long-range
weather forecasting, to competition between political groups and
nations.
After an introductory chapter that explores what it means to be
nonlinear, the book covers the mathematical concepts such as limit
cycles, fractals, chaos, bifurcations, and solitons, that will be
applied throughout the book. Numerous computer simulations and exercises
allow students to explore topics in greater depth using the Maple
computer algebra system. The mathematical level of the text assumes
prior exposure to ordinary differential equations and familiarity with
the wave and diffusion equations. No prior knowledge of Maple is
assumed.
The book may be used at the undergraduate or graduate level to prepare
science and engineering students for problems in the "real world", or
for self-study by practicing scientists and engineers.