{"product_id":"mathematical-models-of-information-and-philipp-kornreich-9781420058833","title":"Mathematical Models of Information and Stochastic Systems","description":"\u003cp\u003eFrom ancient soothsayers and astrologists to today's pollsters and economists, probability theory has long been used to predict the future on the basis of past and present knowledge.\u003cstrong\u003e Mathematical Models of Information and Stochastic Systems\u003c\/strong\u003e shows that the amount of knowledge about a system plays an important role in the mathematical models used to foretell the future of the system. It explains how this known quantity of information is used to derive a system's probabilistic properties.\u003c\/p\u003e\u003cp\u003eAfter an introduction, the book presents several basic principles that are employed in the remainder of the text to develop useful examples of probability theory. It examines both discrete and continuous distribution functions and random variables, followed by a chapter on the average values, correlations, and covariances of functions of variables as well as the probabilistic mathematical model of quantum mechanics. The author then explores the concepts of randomness and entropy and derives various discrete probabilities and continuous probability density functions from what is known about a particular stochastic system. The final chapters discuss information of discrete and continuous systems, time-dependent stochastic processes, data analysis, and chaotic systems and fractals. \u003c\/p\u003e\u003cp\u003eBy building a range of probability distributions based on prior knowledge of the problem, this classroom-tested text illustrates how to predict the behavior of diverse systems. A solutions manual is available for qualifying instructors.\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e Philipp Kornreich\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 1420058835\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9781420058833\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e CRC Press\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 05\/13\/2008\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 376\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Hardcover\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 1.44lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 9.21h x 6.48w x 1.01d","brand":"Philipp Kornreich","offers":[{"title":"Hardcover","offer_id":48065554841855,"sku":"9781420058833","price":150.0,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/files\/img_d76dfa92-2a7c-413d-a2cc-ebae5e63ff9c.jpg?v=1768675739","url":"https:\/\/www.whiterainbookhouse.com\/products\/mathematical-models-of-information-and-philipp-kornreich-9781420058833","provider":"WR Book House","version":"1.0","type":"link"}