The life and times of the central limit theorem /
About the First Edition: The study of any topic becomes more meaningful if one also studies the historical development that resulted in the final theorem. …This is an excellent book on mathematics in the making. -Philip Peak, The Mathematics Teacher, May, 1975 I find the book very interesting. It co...
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| Format: | Book |
| Language: | English |
| Published: |
Providence, Rhode Island ; London, England :
American Mathematical Society : The London Mathematical Society,
2009
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| Edition: | Second edition |
| Series: | History of mathematics ;
Volume 35 |
| Subjects: |
Table of Contents:
- Cover
- Title page
- Contents
- Preface to the second edition
- Preface to the first edition
- Part I. Early life and middle years
- A seed is sown
- Approximation by integrals of ^{- ²}
- Impetus provided by the theory of errors of observation
- Impetus provided by mathematical astronomy
- The flowering of the central limit theorem begins
- The development of the hypothesis of elementary errors
- The emergence of an abstract central limit theorem
- Chebyshev's pupils: A. A. Markov and A. M. Lyapunov
- Bibliography
- Part II. The modern era
- W. Feller, The fundamental limit theorems in probability
- L. Le Cam, The central limit theorem around 1935
- H. F. Trotter, J. L. Doob, David Pollard, and L. Le Cam, Comments and rejoinder
- Part III. Appendix
- A. M. Lyapunov, On a theorem in probability theory
- A. M. Lyapunov, On a theorem in probability theory
- A. M. Lyapunov, A general proposition in probability theory
- A. M. Lyapunov, A new form of a theorem on the limit of a probability
- Index
- Back Cover