Probability and information An integrated approach 2nd Edition by David Applebaum – Ebook PDF Instant Download/Delivery:0521899044, 978-0521899048
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Product details:
ISBN 10: 0521899044
ISBN 13: 978-0521899048
Author: David Applebaum
This new and updated textbook is an excellent way to introduce probability and information theory to students new to mathematics, computer science, engineering, statistics, economics, or business studies. Only requiring knowledge of basic calculus, it begins by building a clear and systematic foundation to probability and information. Classic topics covered include discrete and continuous random variables, entropy and mutual information, maximum entropy methods, the central limit theorem and the coding and transmission of information. Newly covered for this edition is modern material on Markov chains and their entropy. Examples and exercises are included to illustrate how to use the theory in a wide range of applications, with detailed solutions to most exercises available online for instructors.
Table of contents:
Preface to the first edition
Preface to the second edition
1. Introduction
2. Combinatorics
3. Sets and measures
4. Probability
5. Discrete random variables
6. Information and entropy
7. Communication
8. Random variables with probability density functions
9. Random vectors
10. Markov chains and their entropy
Exploring further
Appendix 1. Proof by mathematical induction
Appendix 2. Lagrange multipliers
Appendix 3. Integration of exp (-½x²)
Appendix 4. Table of probabilities associated with the standard normal distribution
Appendix 5. A rapid review of Matrix algebra
Selected solutions
Index.
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Tags: David Applebaum, Probability and information, integrated approach


