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Détails
| Genre/forme : | Problems, exercises, etc |
|---|---|
| Format : | Livre |
| Tous les auteurs / collaborateurs : |
Paul J Nahin |
| ISBN : | 9780691126982 0691126984 |
| Numéro OCLC : | 164570975 |
| Description : | xi, 263 p. : ill. ; 25 cm. |
| Contenu : | The clumsy dishwasher problem -- Will Lil and Bill meet at the malt shop? -- A parallel parking question -- A curious coin-flipping game -- The Gamow-Stern elevator puzzle -- Steve's elevator problem -- The pipe smoker's discovery -- A toilet paper dilemma -- The forgetful burglar problem -- The umbrella quandary -- The case of the missing senators -- How many runners in a marathon? -- A police patrol problem -- Parrondo's paradox -- How long is the wait to get the potato salad? -- The appeals court paradox -- Waiting for buses -- Waiting for stoplights -- Electing emperors and popes -- An optimal stopping problem -- Chain reactions, branching processes, and baby boys -- Appendixes: 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. |
| Responsabilité : | Paul J. Nahin. |
Critiques
Synopsis de l’éditeur
The problems are accessible but still realistic enough to be engaging, and the solutions in the back of the book will get you through any sticky spots. Writing your own versions of a few of these programs will acquaint you with a useful approach to problem solving and a novel style of thinking. -- Brian Hayes, American Scientist [T]he book is targeted at teachers and students of probability theory or computer science, as well as aficionados of recreational mathematics, but anyone who is familiar with the basics of probability and is capable of writing simple computer programs will have no problem working their way through this interesting and rewarding book. -- Physics World [An] enjoyable read, as [Nahin] writes clearly, with humour and is not afraid to include equations where necessary. Nahin spices the book throughout with factual and anecdotal snippets. Digital Dice will appeal to all who like recreational mathematics. -- Alan Stevens, Mathematics Today Digital Dice will appeal to recreational mathematicians who have even a limited knowledge of computer programming, and even nonprogrammers will find most of the problems entertaining to ponder. -- Games Magazine After the appearance of the author's earlier book on probability problems, [Duelling Idiots And Other Probability Puzzlers], one has high expectations for this book, and one is not disappointed... The book will certainly have great appeal to all three of the targeted audiences. -- G A. Hewer, Mathematical Reviews This well-written entertaining collection of twenty-one probability problems presents their origin and history as well as their computer solutions... These problems could be used in a computer programming course or a probability course that includes Monte Carlo simulations. -- Thomas Sonnabend, Mathematics Teacher All of the books by Nahin and Havil are worth having, including others not listed here. I particularly recommend Digital Dice for the task of teaching undergraduates in mathematics the fundamentals of computation and simulation. -- James M. Cargal, The UMAP Journal Lire la suite...
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Sujets associés :(6)
- Probabilities -- Problems, exercises, etc.
- Probabilities -- Data processing.
- MATLAB.
- Algorithms.
- Computermathematik.
- Wahrscheinlichkeitsrechnung.
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