Structural Stability And Morphogenesis

René Thom, professor at I.H.E.S., Bures-sur-Yvette since 1963, he was born in Montbéliard, France on September 2, 1923. Professor Thom studied at the Ecole Normale Supérieure of Paris from 1943-46, and obtained his Ph.D. in Mathematical Sciences in 1951. After a year spent at a graduate college of Princeton University, he was professor at the faculty of sciences of Strasbourg University from 1954-1963. In 1954 Professor Thom invented and developed the theory of cobordism in algebraic topology. This classification of manifolds used homotopy theory in a fundamental way and became a prime example of a general cohomology theory. For this work, Professor Thom received the Field Medal in 1958. Later on at I.H.E.S., he originated, with E. C. Zeeman, the celebrated Catastrophe Theory. Professor Thom is a member of the American Academy of Arts and Sciences, Académie des Sciences de Paris, Deutsche Akademie der Naturforscher Leopoldina (DRG), and the Academy of Sciences of Brazil.

* Introduction * Form and Structural Stability * Structural Stability in Mathematics * Kinematic of Forms; Catastrophes * Elementary Catastrophes on R4 Associated with Conflicts of Regimes * General Morphology * The Dynamic of Forms * Biology and Topology * Local Models in Embryology * Global Models for a Living Being (Metazoa) * Models in Ultrastructure * The Basic Problems of Biology * From Animal to Man: Thought and Language