Digital Dice Computational Solutions to Practical Probability Problems 2nd Edition by Paul Nahin ISBN 0691158211 978-0691158211

Digital Dice Computational Solutions to Practical Probability Problems 2nd  Edition by Paul J. Nahin- Ebook PDF Instant Download/Delivery:  0691158211,  978-0691158211
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Product details: 

ISBN 10:  0691158211  

ISBN 13: 978-0691158211

Author: Paul J. Nahin 

Some probability problems are so difficult that they stump the smartest mathematicians. But even the hardest of these problems can often be solved with a computer and a Monte Carlo simulation, in which a random-number generator simulates a physical process, such as a million rolls of a pair of dice. This is what Digital Dice is all about: how to get numerical answers to difficult probability problems without having to solve complicated mathematical equations.

Popular-math writer Paul Nahin challenges readers to solve twenty-one difficult but fun problems, from determining the odds of coin-flipping games to figuring out the behavior of elevators. Problems build from relatively easy (deciding whether a dishwasher who breaks most of the dishes at a restaurant during a given week is clumsy or just the victim of randomness) to the very difficult (tackling branching processes of the kind that had to be solved by Manhattan Project mathematician Stanislaw Ulam). In his characteristic style, Nahin brings the problems to life with interesting and odd historical anecdotes. Readers learn, for example, not just how to determine the optimal stopping point in any selection process but that astronomer Johannes Kepler selected his second wife by interviewing eleven women.

The book shows readers how to write elementary computer codes using any common programming language, and provides solutions and line-by-line walk-throughs of a MATLAB code for each problem.

Digital Dice will appeal to anyone who enjoys popular math or computer science. In a new preface, Nahin wittily addresses some of the responses he received to the first edition.

Table of contents: 

1. The Clumsy Dishwasher Problem

2. Will Lil and Bill Meet at the Malt Shop?

3. A Parallel Parking Question

4. A Curious Coin-Flipping Game

5. The Gamow-Stern Elevator Puzzle

6. Steve’s Elevator Problem

7. The Pipe Smoker’s Discovery

8. A Toilet Paper Dilemma

9. The Forgetful Burglar Problem

10. The Umbrella Quandary

11. The Case of the Missing Senators

12. How Many Runners in a Marathon?

13. A Police Patrol Problem

14. Parrondo’s Paradox

15. How Long Is the Wait to Get the Potato Salad?

16. The Appeals Court Paradox

17. Waiting for Buses

18. Waiting for Stoplights

19. Electing Emperors and Popes

20. An Optimal Stopping Problem

21. Chain Reactions, Branching Processes, and Baby Boys

MATLAB Solutions to the Problems

1. The Clumsy Dishwasher Problem

2. Will Lil and Bill Meet at the Malt Shop?

3. A Parallel Parking Question

4. A Curious Coin-Flipping Game

5. The Gamow-Stern Elevator Puzzle

6. Steve’s Elevator Problem

7. The Pipe Smoker’s Discovery

8. A Toilet Paper Dilemma

9. The Forgetful Burglar Problem

10. The Umbrella Quandary

11. The Case of the Missing Senators

12. How Many Runners in a Marathon?

13. A Police Patrol Problem

14. Parrondo’s Paradox

15. How Long Is the Wait to Get the Potato Salad?

16. The Appeals Court Paradox

17. Waiting for Buses

18. Waiting for Stoplights

19. Electing Emperors and Popes

20. An Optimal Stopping Problem

21. Chain Reactions, Branching Processes, and Baby Boys

Appendices

1. One Way to Guess on a Test

2. An Example of Variance-Reduction in the Monte Carlo Method

3. Random Harmonic Sums

4. Solving Montmort’s Problem by Recursion

5. An Illustration of the Inclusion-Exclusion Principle

6. Solutions to the Spin Game

7. How to Simulate Kelvin’s Fair Coin with a Biased Coin

8. How to Simulate an Exponential Random Variable

9. Index to Author-Created MATLAB m-Files in the Book

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Tags: Paul Nahin, Digital Dice, Computational Solutions