Emergence as Harmony

Mathematical Principles of Self-Organization, Complexity, and Collective Behavior

AvVenkat Venkatasubramanian

Inbunden, Engelska, 2026

2 088 kr

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Emergent phenomena arise when complex systems exhibit properties that are absent in their constituent parts. They span scales and disciplines, from the collective intelligence of bird flocks in biology to the patterns of inequality and segregation in economics and sociology. Do these disparate examples share unifying principles? How do order and collective behavior emerge from chaos through self-organization?Venkat Venkatasubramanian shows that a novel paradigm—statistical teleodynamics—can explain emergence. This unified theory represents a transdisciplinary synthesis integrating concepts from various fields. Venkatasubramanian formulates a mathematical framework for understanding emergent phenomena across domains, spanning physics, biology, ecology, economics, sociology, and artificial intelligence. He demonstrates that the organizational principle of emergent systems is maximizing harmony, which he examines various ways to measure. Emergence as Harmony offers new answers to fundamental questions on topics ranging from income inequality to large language models and neural networks.

Produktinformation

Utgivningsdatum:2026-09-15
Mått:152 x 229 x undefined mm
Format:Inbunden
Språk:Engelska
Antal sidor:320
Förlag:Columbia University Press
ISBN:9780231224574

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Venkat Venkatasubramanian is the Samuel Ruben–Peter G. Viele Professor of Engineering at Columbia University. He is the author of How Much Inequality Is Fair? Mathematical Principles of a Moral, Optimal, and Stable Capitalist Society (Columbia, 2017). He is an elected member of the US National Academy of Engineering.

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Emergence has long resisted unified explanation. In Emergence as Harmony, Venkatasubramanian delivers exactly that—a transdisciplinary mathematical framework spanning biology, economics, sociology, and AI. A rare synthesis: technically deep, conceptually original, and ultimately pointing toward something as elusive as harmony itself.

Innehållsförteckning

Preface1. Organized Is Different2. Teleological Systems and Game Theory3. Statistical Teleodynamics4. Entropic Economics: Income Inequality5. Entropic Economics: Income Inequality in the Real World6. Emergence in Biology: Bacteria, Ants, and Mussels7. Emergence in Ecology: Bird Swarms8. Emergence in Sociology: Social Segregation9. Emergence in Artificial Intelligence: Universal Microstructure of Large Language Models10. On the Organization of SpeciesReferencesIndex