{"product_id":"statistical-independence-in-probability-analysis-mark-kac-9780486821580","title":"Statistical Independence in Probability, Analysis and Number Theory","description":"This concise monograph in probability by Mark Kac, a well-known mathematician, presumes a familiarity with Lebesgue's theory of measure and integration, the elementary theory of Fourier integrals, and the rudiments of number theory. Readers may then follow Dr. Kac's attempt to rescue statistical independence from the fate of abstract oblivion by showing how in its simplest form it arises in various contexts cutting across different mathematical disciplines. \u003cbr\u003eThe treatment begins with an examination of a formula of Vieta that extends to the notion of statistical independence. Subsequent chapters explore laws of large numbers and ﾉmile Borel's concept of normal numbers; the normal law, as expressed by Abraham de Moivre and Andrey Markov's method; and number theoretic functions as well as the normal law in number theory. The final chapter ranges in scope from kinetic theory to continued fractions. All five chapters are enhanced by problems.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e Mark Kac\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 0486821587\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9780486821580\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Dover Publications\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 08\/15\/2018\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 112\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Paperback\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 0.26lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 8.00h x 5.00w x 0.30d","brand":"Mark Kac","offers":[{"title":"Paperback","offer_id":43919920464127,"sku":"9780486821580","price":12.95,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/products\/img_3d680986-90a2-437e-a4b4-36133b48f7c4.jpg?v=1680812645","url":"https:\/\/www.whiterainbookhouse.com\/products\/statistical-independence-in-probability-analysis-mark-kac-9780486821580","provider":"WR Book House","version":"1.0","type":"link"}