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.
General
Imprint: |
Mathematical Association of America
|
Country of origin: |
United States |
Series: |
Carus Mathematical Monographs |
Release date: |
December 1959 |
Authors: |
Mark Kac
|
Dimensions: |
229 x 152mm (L x W) |
Format: |
Paperback
|
Pages: |
94 |
ISBN-13: |
978-0-88385-025-1 |
Categories: |
Books
|
LSN: |
0-88385-025-7 |
Barcode: |
9780883850251 |
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