{"product_id":"emergence-as-harmony-venkat-venkatasubramanian-9780231224574","title":"Emergence as Harmony: Mathematical Principles of Self-Organization, Complexity, and Collective Behavior","description":"\u003cp\u003eEmergent 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? \u003c\/p\u003e\u003cp\u003e\u003c\/p\u003eVenkat 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. \u003ci\u003eEmergence as Harmony\u003c\/i\u003e offers new answers to fundamental questions on topics ranging from income inequality to large language models and neural networks.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e Venkat Venkatasubramanian\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 0231224575\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9780231224574\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Columbia University Press\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 09\/29\/2026\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 320\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Hardcover","brand":"Venkat Venkatasubramanian","offers":[{"title":"Hardcover","offer_id":49084130754815,"sku":"9780231224574","price":200.0,"currency_code":"USD","in_stock":false}],"url":"https:\/\/www.whiterainbookhouse.com\/products\/emergence-as-harmony-venkat-venkatasubramanian-9780231224574","provider":"WR Book House","version":"1.0","type":"link"}