Book contents
- Frontmatter
- Contents
- Preface to the Second Edition
- 0 Introduction
- 1 Probability
- 2 Conditional Probability and Independence
- 3 Counting
- 4 Random Variables: Distribution and Expectation
- 5 Random Vectors: Independence and Dependence
- 6 Generating Functions and Their Applications
- 7 Continuous Random Variables
- 8 Jointly Continuous Random Variables
- 9 Markov Chains
- Appendix: Solutions and Hints for Selected Exercises and Problems
- Further Reading
- Index of Notation
- Index
Preface to the Second Edition
Published online by Cambridge University Press: 05 September 2012
- Frontmatter
- Contents
- Preface to the Second Edition
- 0 Introduction
- 1 Probability
- 2 Conditional Probability and Independence
- 3 Counting
- 4 Random Variables: Distribution and Expectation
- 5 Random Vectors: Independence and Dependence
- 6 Generating Functions and Their Applications
- 7 Continuous Random Variables
- 8 Jointly Continuous Random Variables
- 9 Markov Chains
- Appendix: Solutions and Hints for Selected Exercises and Problems
- Further Reading
- Index of Notation
- Index
Summary
The calculus of probabilities, in an appropriate form, should interest equally the mathematician, the experimentalist, and the statesman. … It is under its influence that lotteries and other disgraceful traps cunningly laid for greed and ignorance have finally disappeared.
Francois Arago, Eulogy on Laplace, 1827Lastly, one of the principal uses to which this Doctrine of Chances may be applied, is the discovering of some truths, which cannot fail of pleasing the mind, by their generality and simplicity; the admirable connexion of its consequences will increase the pleasure of the discovery; and the seeming paradoxes wherewith it abounds, will afford very great matter of surprize and entertainment to the inquisitive.
Abraham de Moivre, The Doctrine of Chances, 1756This book provides an introduction to elementary probability and some of its simple applications. In particular, a principal purpose of the book is to help the student to solve problems. Probability is now being taught to an ever wider audience, not all of whom can be assumed to have a high level of problem-solving skills and mathematical background. It is also characteristic of probability that, even at an elementary level, few problems are entirely routine. Successful problem solving requires flexibility and imagination on the part of the student. Commonly, these skills are developed by observation of examples and practice at exercises, both of which this text aims to supply.
With these targets in mind, in each chapter of the book, the theoretical exposition is accompanied by a large number of examples and is followed by worked examples incorporating a cluster of exercises.
- Type
- Chapter
- Information
- Elementary Probability , pp. xi - xiiPublisher: Cambridge University PressPrint publication year: 2003