Smale’s publications include Differential Equations, Dynamical Systems, and Linear Algebra (1974; with Morris W. Hirsch), The Mathematics of Time: Essays on Dynamical Systems, Economic Processes, and Related Topics (1980), and The Collected Papers of Stephen Smale (2000).
In addition to math, Smale's strongest interests concern learning, intelligence, and the evolution of language.
During his residency, Dr. Smale gave two public lectures. The first was titled "Creativity and Its Obstructions." This talk described how new ideas are repressed by the leaders of science and the arts. The second lecture was "What is Chaos, the New Science of Unpredictability?" Smale was a featured speaker at the college's 1990 Nobel Conference on "Chaos" theory.