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Singularity Theory, as a book category, brings together works that examine points where ordinary rules break down and systems change character—across mathematics, science, and technology. It includes rigorous texts on the mathematical theory of singularities (e.g., catastrophe and bifurcation theory, algebraic and differential singularities) and their applications in geometry, dynamical systems, optics, robotics, and materials. It also encompasses accessible overviews and interdisciplinary titles on physical singularities in cosmology (black holes, the early universe), critical phenomena in complex systems, and debates about the technological singularity in AI and futures studies. From graduate-level monographs to popular science and reflective essays, these books are united by a focus on understanding behavior at or near breakdown points and the profound insights such extremes provide.

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