Encounters with Chaos and Fractals, Second Edition

Presenting a wide range of topics, Encounters with Chaos and Fractals explores the relationship between these two concepts. The book provides applications from chaos that have ties to disciplines in the physical sciences and engineering. It emphasizes a geometric, one-dimensional approach that makes complex concepts more accessible to students. The text covers the dynamics for functions on the line and on a plane, iterated functions such as fractal pictures, the dynamics of differential equation systems including the Lorenz attractor, and complicated sets such as Julia and Mandelbrot. Requiring only one year of calculus, this text is ideal for advanced undergraduate students.