{"product_id":"9783030041489","title":"Understanding Complex Systems: Thermodynamics of Probability Distributions and Stochastic Processes","description":"\u003ch1\u003eUnderstanding Complex Systems: Thermodynamics of Probability Distributions and Stochastic Processes\u003c\/h1\u003e \u003ch2\u003eMatsoukas, Themis\u003c\/h2\u003e \u003cp\u003e\u003c\/p\u003e\u003cp\u003eThis book gives the definitive mathematical answer to what thermodynamics really is: a variational calculus applied to probability distributions. Extending Gibbs's notion of ensemble, the Author imagines the ensemble of all possible probability distributions and assigns probabilities to them by selection rules that are fairly general. The calculus of the most probable distribution in the ensemble produces the entire network of mathematical relationships we recognize as thermodynamics. \u003c\/p\u003e\n\n\u003cp\u003eThe first part of the book develops the theory for discrete and continuous distributions while the second part applies this thermodynamic calculus to problems in population balance theory and shows how the emergence of a giant component in aggregation, and the shattering transition in fragmentation may be treated as formal phase transitions.\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\n\n\u003cp\u003eWhile the book is intended as a research monograph, the material is self-contained and the style sufficiently tutorial to be accessible forself-paced study by an advanced graduate student in such fields as physics, chemistry, and engineering.\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e \u003ch3\u003eDetails\u003c\/h3\u003e \u003cp\u003ePublished by: Springer\u003c\/p\u003e \u003cp\u003ePublication Date: 2019-05-20\u003c\/p\u003e \u003cp\u003eFormat: Hardcover\u003c\/p\u003e \u003cp\u003eISBN-13: 9783030041489\u003c\/p\u003e \u003cp\u003eDOI: 10.1007\/978-3-030-04149-6\u003c\/p\u003e \u003cp\u003eDimensions: 235cm x155cm\u003c\/p\u003e \u003cp\u003ePages: 363\u003c\/p\u003e ","brand":"Springer International Publishing","offers":[{"title":"Default Title","offer_id":45382488817804,"sku":"9783030041489","price":179.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9783030041489.jpg?v=1774496641","url":"https:\/\/fh90cf-fv.myshopify.com\/products\/9783030041489","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}