Statistical independence in probability, analysis and number theory. The Carus mathematical monographs 12; Carus mathematical monographs 12.

Kac, Mark:

ISBN 10: 0883850257 / ISBN 13: 9780883850251

Published by The Mathematical Association of America, 1959

About this Item

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

Bibliographic Details

• Title: Statistical independence in probability, analysis and number theory. The Carus mathematical monographs 12; Carus mathematical monographs 12.
• Publisher: The Mathematical Association of America
• Publication Date: 1959
• Language: English
• ISBN 10: 0883850257
• ISBN 13: 9780883850251
• Binding: Hardcover
• Weight: 550 grams
• Seller catalogs:
  • SA MATHEMATIK

About this title

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.

About the Author

Marc Kac, born in Poland, studied with Hugo Steinhaus at Lwow earning his doctorate in 1936. He had a long and productive career in the United States, serving on the faculities, of Cornell University, Rockefeller University, and he University of Southern California.