Statistical Independence in Probability, Analysis and Number Theory (Carus Mathematical Monographs, 12, Band 12) - Softcover

Kac, Marc

Softcover

ISBN 10: 0883850257 ISBN 13: 9780883850251

Verlag: Mathematical Association of America, 1959

Inhaltsangabe

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.

Details zur Ausgabe

• Verlag: Mathematical Association of America
• Erscheinungsdatum: 1959
• Sprache: Englisch
• ISBN 10: 0883850257
• ISBN 13: 9780883850251
• Einband: Taschenbuch
• Anzahl der Seiten: 94
• Kontakt zum Hersteller: Nicht verfügbar
• Verantwortliche Person: Mare Nostrum Group B.V.; gpsr@mare-nostrum.co.uk; ; Doelen 72; Breda; 4831 GR; Niederlande