Explains catastrophe theory, which uses geometric shapes to transform abstract concepts into concrete visual pictures, and cites numerous examples to show its usefulness in dealing with problems in economics, psychology, biology, politics, and history.
The revolutionary new way of understanding how things change. The book serves to explain a fraction of the phenomena to which Thom has suggested its application, the theory's reach will be extraordinary, the development of the ego, the origin of life, evolution, death, and langu…
The revolutionary new way of understanding how things change. The book serves to explain a fraction of the phenomena to which Thom has suggested its application, the theory's reach will be extraordinary, the development of the ego, the origin of life, evolution, death, and langu…
The French mathematician René Thom (Fields medal 1958) died in 2002. In this volume his contributions to biology, semiotics and linguistics are discussed by a group of scholars who have continued his work and have shaped the new paradigm of dynamic semiotics and linguistics. Tho…
These notes give a fairly elementary introduction to the local theory of differentiable mappings. Sard's Theorem and the Preparation Theorem of Malgrange and Mather are the basic tools and these are proved first. There follows a number of illustrations including: the local part …