The theory of probability
 Author/Creator
 Venkatesh, Santosh S.
 Language
 English.
 Imprint
 Cambridge, UK ; New York : Cambridge University Press, 2013.
 Physical description
 xxiv, 805 p. : ill. ; 26 cm.
Access
Available online

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QA273 .V46 2013

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QA273 .V46 2013
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Contents/Summary
 Bibliography
 Includes bibliographical references and index.
 Contents

 Part I. Elements: 1. Probability spaces 2. Conditional probability 3. A first look at independence 4. Probability sieves 5. Numbers play a game of chance 6. The normal law 7. Probabilities on the real line 8. The Bernoulli schema 9. The essence of randomness 10. The coda of the normal Part II. Foundations: 11. Distribution functions and measure 12. Random variables 13. Great expectations 14. Variations on a theme of integration 15. Laplace transforms 16. The law of large numbers 17. From inequalities to concentration 18. Poisson approximation 19. Convergence in law, selection theorems 20. Normal approximation Part III. Appendices: 21. Sequences, functions, spaces.
 (source: Nielsen Book Data)
 Publisher's Summary
 From classical foundations to advanced modern theory, this selfcontained and comprehensive guide to probability weaves together mathematical proofs, historical context and richly detailed illustrative applications. A theorem discovery approach is used throughout, setting each proof within its historical setting and is accompanied by a consistent emphasis on elementary methods of proof. Each topic is presented in a modular framework, combining fundamental concepts with worked examples, problems and digressions which, although mathematically rigorous, require no specialised or advanced mathematical background. Augmenting this core material are over 80 richly embellished practical applications of probability theory, drawn from a broad spectrum of areas both classical and modern, each tailormade to illustrate the magnificent scope of the formal results. Providing a solid grounding in practical probability, without sacrificing mathematical rigour or historical richness, this insightful book is a fascinating reference and essential resource, for all engineers, computer scientists and mathematicians.
(source: Nielsen Book Data)
Subjects
 Subject
 Probabilities.
 Probabilities > History.
Bibliographic information
 Publication date
 2013
 Responsibility
 Santosh S. Venkatesh.
 Title Variation
 Subtitle on cover: Explorations and applications
 ISBN
 9781107024472 (hbk.)
 1107024471 (hbk.)