{"product_id":"an-introduction-to-benfords-law-9780691163062","title":"An Introduction to Benford's Law","description":"\u003cp\u003eThis book provides the first comprehensive treatment of Benford's law, the surprising logarithmic distribution of significant digits discovered in the late nineteenth century. Establishing the mathematical and statistical principles that underpin this intriguing phenomenon, the text combines up-to-date theoretical results with overviews of the law's colorful history, rapidly growing body of empirical evidence, and wide range of applications. \u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003ci\u003eAn Introduction to Benford's Law\u003c\/i\u003e begins with basic facts about significant digits, Benford functions, sequences, and random variables, including tools from the theory of uniform distribution. After introducing the scale-, base-, and sum-invariance characterizations of the law, the book develops the significant-digit properties of both deterministic and stochastic processes, such as iterations of functions, powers of matrices, differential equations, and products, powers, and mixtures of random variables. Two concluding chapters survey the finitely additive theory and the flourishing applications of Benford's law. \u003cp\u003e\u003c\/p\u003eCarefully selected diagrams, tables, and close to 150 examples illuminate the main concepts throughout. The text includes many open problems, in addition to dozens of new basic theorems and all the main references. A distinguishing feature is the emphasis on the surprising ubiquity and robustness of the significant-digit law. This text can serve as both a primary reference and a basis for seminars and courses.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e Arno Berger, Theodore P. Hill\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Princeton University Press\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 05\/26\/2015\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 256\u003cbr\u003e\u003cb\u003eBinding Type:\u003c\/b\u003e Hardcover\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 1.50lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 9.30h x 6.40w x 0.80d\u003cbr\u003e\u003cb\u003eISBN:\u003c\/b\u003e 9780691163062\u003cbr\u003e\u003cbr\u003e\u003cb\u003eReview Citation(s): \u003c\/b\u003e\u003cbr\u003e\u003ci\u003eChoice\u003c\/i\u003e 01\/01\/2016\u003cbr\u003e\u003cp\u003e\u003cb\u003eAbout the Author\u003c\/b\u003e\u003cbr\u003e\u003cb\u003eArno Berger\u003c\/b\u003e is associate professor of mathematics at the University of Alberta. He is the author of \u003ci\u003eChaos and Chance: An Introduction to Stochastic Aspects of Dynamics\u003c\/i\u003e. \u003cb\u003eTheodore P. Hill\u003c\/b\u003e is professor emeritus of mathematics at the Georgia Institute of Technology and research scholar in residence at the California Polytechnic State University.\u003cbr\u003e\u003c\/p\u003e","brand":"Princeton University Press","offers":[{"title":"Hardcover","offer_id":40113782718579,"sku":"9.78E+12","price":88.0,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0555\/9255\/0515\/products\/img_dc5dec00-28b1-4046-bb53-0a6f65358840.jpg?v=1653488697","url":"https:\/\/bookstorenmore.com\/products\/an-introduction-to-benfords-law-9780691163062","provider":"Bookstore N More","version":"1.0","type":"link"}