Understanding nonlinear dynamics

Mathematics is increasingly vital in the physical and biological sciences, leading to a convergence of scientific disciplines and a renewed interest in both modern and classical applied mathematics techniques. This revival has prompted the creation of the Texts in Applied Mathematics (TAM) series, designed to respond to the excitement surrounding cutting-edge research and the development of new courses. As innovative methods like numerical and symbolic computer systems, dynamical systems, and chaos theory integrate with traditional applied mathematics, TAM aims to address the evolving educational needs. The series will publish textbooks appropriate for advanced undergraduate and beginning graduate courses, complementing the Applied Mathematical Sciences (AMS) series, which focuses on advanced textbooks and research-level monographs. Daniel Kaplan, one of the authors, specializes in data analysis using techniques inspired by nonlinear dynamics. His main interest lies in interpreting irregular physiological rhythms, although his methods have applications in geophysics, economics, marine ecology, and more. Kaplan joined McGill University in 1991 after earning his Ph.D. from Harvard and working at MIT, having completed his undergraduate studies at Swarthmore College. He has collaborated with various instrumentation companies to create innovative medical monitoring devices.