{"product_id":"modern-discrete-probability-sbastien-roch-9781009305112","title":"Modern Discrete Probability: An Essential Toolkit","description":"Providing a graduate-level introduction to discrete probability and its applications, this book develops a toolkit of essential techniques for analysing stochastic processes on graphs, other random discrete structures, and algorithms. Topics covered include the first and second moment methods, concentration inequalities, coupling and stochastic domination, martingales and potential theory, spectral methods, and branching processes. Each chapter expands on a fundamental technique, outlining common uses and showing them in action on simple examples and more substantial classical results. The focus is predominantly on non-asymptotic methods and results. All chapters provide a detailed background review section, plus exercises and signposts to the wider literature. Readers are assumed to have undergraduate-level linear algebra and basic real analysis, while prior exposure to graduate-level probability is recommended. This much-needed broad overview of discrete probability could serve as a textbook or as a reference for researchers in mathematics, statistics, data science, computer science and engineering.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e S饕astien Roch\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 1009305115\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9781009305112\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Cambridge University Press\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 01\/18\/2024\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 452\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Hardcover\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 2.20lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 10.00h x 7.00w x 1.00d","brand":"S饕astien Roch","offers":[{"title":"Hardcover","offer_id":44716628082943,"sku":"9781009305112","price":64.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/files\/img_7935c259-b285-473c-b1ca-476ff60a254b.jpg?v=1705683077","url":"https:\/\/www.whiterainbookhouse.com\/products\/modern-discrete-probability-sbastien-roch-9781009305112","provider":"WR Book House","version":"1.0","type":"link"}