{"product_id":"statistical-independence-in-probability-analysis-and-number-theory-paperback","title":"Statistical Independence in Probability, Analysis and Number Theory - Paperback","description":"\u003cp\u003eby \u003cb\u003eMark Kac\u003c\/b\u003e (Author)\u003c\/p\u003e\u003cp\u003eThis 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 Émile 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.\u003c\/p\u003e\u003ch3\u003eAuthor Biography\u003c\/h3\u003e\u003cp\u003eMark Kac (1914-1984) was born in Poland and came to the United States in the 1930s. He taught at Cornell and later served on the faculties of Rockefeller University in New York and the University of Southern California. His main focus was probability theory, and Dover also publishes his \u003ci\u003eMathematics and Logic, \u003c\/i\u003eco-written with S. M. Ulam.\u003c\/p\u003e\u003cdiv\u003e\n\u003cstrong\u003eNumber of Pages:\u003c\/strong\u003e 112\u003c\/div\u003e\u003cdiv\u003e\n\u003cstrong\u003eDimensions:\u003c\/strong\u003e 0.3 x 8 x 5 IN\u003c\/div\u003e\u003cdiv\u003e\n\u003cstrong\u003ePublication Date:\u003c\/strong\u003e August 15, 2018\u003c\/div\u003e","brand":"Books by splitShops","offers":[{"title":"Default Title","offer_id":51756271304992,"sku":"9780486821580","price":12.95,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0974\/9764\/5344\/files\/ef530177fb906d4b70c7af44c1f0a0a4.webp?v=1780078002","url":"https:\/\/ebocreations.com\/products\/statistical-independence-in-probability-analysis-and-number-theory-paperback","provider":"The E-Book Oasis LLC","version":"1.0","type":"link"}