The role of chaos in science and mathematics is examined in detail by the essays that comprise this work. Distinguished scholars specializing in mathematics, physics, and chemistry discuss the following subjects: Fractals, by Benoit Mandelbrot; The Causality Principle, Deterministic Laws and Chaos, by Heinz-Otto Peitgen; The Transition to Chaos, by Mitchell Feigenbaum; Time, Dynamics and Chaos: Integrating Poincare's 'Non-Integrable Systems', by Ilya Prigogine; What Is Chaos, by Steve Smale; Chaos and Cosmos: A Theological Approach, by John Polkinghorne; and Chaos and Beyond, by James Gleick. Introduction by John Holte. This volume is number 26 in the Nobel Conference Series. Co-published with the Nobel Conference.