Statistical Independence in Probability Analysis and Number Theory (Carus Mathematical Monographs) - Softcover
Synopsis
Professor Kac's monograph is designed to illustrate how simple observations can be made the starting point of rich and fruitful theories and how the same theme recurs in seemingly unrelated disciplines. An elementary but thorough discussion of the game of ""heads or tails,"" including the normal law and the laws of large numbers, is presented in a setting in which a variety of purely analytic results appear natural and inevitable. The chapter ""Primes Play a Game of Chance"" uses the same setting in dealing with problems of the distribution of values of arithmetic functions. The final chapter ""From Kinetic Theory to Continued Fractions"" deals with a spectacular application of the ergodic theorems to continued fractions. Mark Kac conveyed his infectious enthusiasm for mathematics and its applications in his lectures, papers, and books. Two of his papers won Chauvenet awards for expository excellence.
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Review
Terrific, friendly and profound."" - Persi Diaconis ""This is a splendid book. It ranges from the primitive idea of statistical independence to applications of the most diverse sort: coin-tossing, anharmonic oscillations, prime numbers, and continued fractions. And it does all that with Kac.s customary clarity and charm. Every friend of probability should have it."" - Henry McKeon
About the Author
Mark 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 Mathematics and Logic, co-written with S. M. Ulam.
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Statistical Independence in Probability, Analysis and Number Theory (Carus Mathematical Monographs)
Published by
Mathematical Assn of Amer, 1959
ISBN 10: 0883850257
ISBN 13: 9780883850251
New
Paperback
Seller: Sequitur Books, Boonsboro, MD, U.S.A.
Seller rating 5 out of 5 stars
Paperback. Condition: New. Brand new. Clean, unmarked pages. Fine binding and cover. Softcover. Ships daily. Seller Inventory # 1603230123
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Statistical independence in probability, analysis and number theory. The Carus mathematical monographs 12; Carus mathematical monographs 12.
Published by
The Mathematical Association of America, 1959
ISBN 10: 0883850257
ISBN 13: 9780883850251
Used
Hardcover
Seller: Antiquariat Bookfarm, Löbnitz, Germany
Seller rating 5 out of 5 stars
Hardcover. Ex-library with stamp and library-signature. GOOD condition, some traces of use. Ancien Exemplaire de bibliothèque avec signature et cachet. BON état, quelques traces d'usure. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. 60 KAC 9780883850251 Sprache: Englisch Gewicht in Gramm: 550. Seller Inventory # 2501424
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Statistical Independence in Probability, Analysis and Number Theory (Carus Mathematical Monographs, Band 12)
Published by
Mathematical Association of America 01.06.1959., 1959
ISBN 10: 0883850257
ISBN 13: 9780883850251
Used
Softcover
Seller: Berliner Büchertisch eG, Berlin, Germany
Seller rating 5 out of 5 stars
Softcover. Condition: Gut. 94 Seiten Gutes Exemplar, geringe Gebrauchsspuren, Cover/SU berieben/bestoßen, Schnitt/Papier nachgedunkelt, innen alles in Ordnung; Good copy, light signs of previous use, cover/dust jacket shows some rubbing/wear, edges/text pages show yellowing/darkening, interior in good condition A221222ah56 ISBN: 9780883850251 Sprache: Englisch Gewicht in Gramm: 130. Seller Inventory # 642877