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Catastrophe Theory as a book category encompasses works on the mathematics of abrupt qualitative change in systems—an area of singularity and bifurcation theory originated by René Thom and popularized by E. C. Zeeman. Titles in this category include foundational and advanced texts on stability, potential functions, and the canonical catastrophes (fold, cusp, swallowtail, butterfly, and umbilics); accessible introductions and historical/philosophical overviews; and applications showing how small, continuous parameter shifts can cause sudden transitions in biology, ecology, psychology, economics and finance, engineering, and the social sciences. Books may also connect catastrophe theory to nonlinear dynamics, tipping points, and phase transitions, emphasizing modeling and empirical case studies. The focus is on the theory and practice of discontinuous outcomes in continuous systems, rather than fictional or disaster-themed narratives.

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