René Thom
French mathematician noted for foundational work in differential topology, including cobordism theory (Fields Medal, 1958), and for developing catastrophe theory; associated with IHÉS and the University of Strasbourg.
Books
This list of books are ONLY the books that have been ranked on the lists that are aggregated on this site. This is not a comprehensive list of all books by this author.
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1. Parábolas Y Catástrofes
Entretiens sur les mathématiques, la science et la philosophie
A collection of essays and parables that uses catastrophe theory and topology to explain how continuous processes can lead to sudden qualitative changes. Through vivid metaphors and case studies from biology, linguistics, and the social sciences, it explores morphogenesis, structural stability, and singularities while arguing for an interdisciplinary science of form. It also challenges reductionism, reflecting on meaning, causality, and the limits of mathematical modeling.
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2. Structural Stability And Morphogenesis
An Outline of a General Theory of Models
A foundational exposition of catastrophe theory, showing how structural stability and singularity theory explain abrupt qualitative changes that emerge from smooth parameter variation. It classifies the elementary catastrophes and uses geometric and topological models to account for bifurcations and the formation of stable forms, with examples spanning biology, physics, and the social sciences. It also probes the methodological and philosophical stakes of modeling morphogenesis through generic structures robust under perturbation.
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