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Digital Dice : Computational Solutions to Practical Probability Problems / / Paul J. Nahin
| Digital Dice : Computational Solutions to Practical Probability Problems / / Paul J. Nahin |
| Autore | Nahin Paul J. |
| Edizione | [With a New preface by the author] |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2013] |
| Descrizione fisica | 1 online resource (289 p.) |
| Disciplina | 519.2076 |
| Collana | Princeton Puzzlers |
| Soggetto topico |
Mathematics
Physical Sciences & Mathematics Mathematical Statistics |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-4008-4611-0
1-299-13927-2 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Preface to the Paperback Edition -- ntroduction -- 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 -- The Solutions -- 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 theWait 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 -- Appendix 1. One Way to Guess on a Test -- Appendix 2. An Example of Variance Reduction in the Monte Carlo Method -- Appendix 3. Random Harmonic Series -- Appendix 4. Solving Montmort's Problem by Recursion -- Appendix 5. An Illustration of the Inclusion-Exclusion Principle -- Appendix 6. Solutions to the Spin Game -- Appendix 7. How to Simulate Kelvin's Fair Coin with a Biased Coin -- Appendix 8. How to Simulate an Exponential Random Variable -- Appendix 9. Author-Created MATLAB m-files and Their Location in the Book -- Glossary -- Acknowledgments -- Index -- Also by Paul J. Nahin |
| Record Nr. | UNINA-9910452383003321 |
Nahin Paul J.
|
||
| Princeton, NJ : , : Princeton University Press, , [2013] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Digital Dice : Computational Solutions to Practical Probability Problems / / Paul J. Nahin
| Digital Dice : Computational Solutions to Practical Probability Problems / / Paul J. Nahin |
| Autore | Nahin Paul J. |
| Edizione | [With a New preface by the author] |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2013] |
| Descrizione fisica | 1 online resource (289 p.) |
| Disciplina | 519.2076 |
| Collana | Princeton Puzzlers |
| Soggetto topico |
Mathematics
Physical Sciences & Mathematics Mathematical Statistics |
| ISBN |
1-4008-4611-0
1-299-13927-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Preface to the Paperback Edition -- Introduction -- 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 -- The Solutions -- 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 -- Appendix 1. One Way to Guess on a Test -- Appendix 2. An Example of Variance Reduction in the Monte Carlo Method -- Appendix 3. Random Harmonic Series -- Appendix 4. Solving Montmort's Problem by Recursion -- Appendix 5. An Illustration of the Inclusion-Exclusion Principle -- Appendix 6. Solutions to the Spin Game -- Appendix 7. How to Simulate Kelvin's Fair Coin with a Biased Coin -- Appendix 8. How to Simulate an Exponential Random Variable -- Appendix 9. Author-Created MATLAB m-files and Their Location in the Book -- Glossary -- Acknowledgments -- Index -- Also by Paul J. Nahin |
| Record Nr. | UNINA-9910779321403321 |
|
Nahin Paul J.
|
||
| Princeton, NJ : , : Princeton University Press, , [2013] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
An Imaginary Tale : The Story of √-1 / / Paul J. Nahin
| An Imaginary Tale : The Story of √-1 / / Paul J. Nahin |
| Autore | Nahin Paul J. |
| Edizione | [With a New preface by the author] |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2010] |
| Descrizione fisica | 1 online resource (294 p.) |
| Disciplina | 515.9 |
| Collana | Princeton Science Library |
| Soggetto topico | Numbers, Complex |
| Soggetto genere / forma | Electronic books. |
| ISBN |
0-691-02795-1
1-282-56922-8 1-4008-3389-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- A Note to the Reader -- Contents -- Illustrations -- Preface to the Paperback Edition -- Preface -- Introduction -- CHAPTER ONE The Puzzles of Imaginary Numbers -- CHAPTER TWO. A First Try at Understanding the Geometry of √-1 -- CHAPTER THREE. The Puzzles Start to Clear -- CHAPTER FOUR. Using Complex Numbers -- CHAPTER FIVE. More Uses of Complex Numbers -- CHAPTER SIX. Wizard Mathematics -- CHAPTER SEVEN. The Nineteenth Century, Cauchy, and the Beginning of Complex Function Theory -- APPENDIX A. The Fundamental Theorem of Algebra -- APPENDIX B. The Complex Roots of a Transcendental Equation -- APPENDIX C. (√-1)(√-1) to 135 Decimal Places, and How It Was Computed -- APPENDIX D. Solving Clausen's Puzzle -- APPENDIX E. Deriving the Differential Equation for the Phase-Shift Oscillator -- APPENDIX F. The Value of the Gamma Function on the Critical Line -- Notes -- Name Index -- Subject Index -- Acknowledgments |
| Record Nr. | UNINA-9910460109603321 |
|
Nahin Paul J.
|
||
| Princeton, NJ : , : Princeton University Press, , [2010] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
An Imaginary Tale : The Story of √-1 / / Paul J. Nahin
| An Imaginary Tale : The Story of √-1 / / Paul J. Nahin |
| Autore | Nahin Paul J. |
| Edizione | [With a New preface by the author] |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2010] |
| Descrizione fisica | 1 online resource (294 p.) |
| Disciplina | 515.9 |
| Collana | Princeton Science Library |
| Soggetto topico | Numbers, Complex |
| ISBN |
0-691-02795-1
1-282-56922-8 1-4008-3389-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- A Note to the Reader -- Contents -- Illustrations -- Preface to the Paperback Edition -- Preface -- Introduction -- CHAPTER ONE The Puzzles of Imaginary Numbers -- CHAPTER TWO. A First Try at Understanding the Geometry of √-1 -- CHAPTER THREE. The Puzzles Start to Clear -- CHAPTER FOUR. Using Complex Numbers -- CHAPTER FIVE. More Uses of Complex Numbers -- CHAPTER SIX. Wizard Mathematics -- CHAPTER SEVEN. The Nineteenth Century, Cauchy, and the Beginning of Complex Function Theory -- APPENDIX A. The Fundamental Theorem of Algebra -- APPENDIX B. The Complex Roots of a Transcendental Equation -- APPENDIX C. (√-1)(√-1) to 135 Decimal Places, and How It Was Computed -- APPENDIX D. Solving Clausen's Puzzle -- APPENDIX E. Deriving the Differential Equation for the Phase-Shift Oscillator -- APPENDIX F. The Value of the Gamma Function on the Critical Line -- Notes -- Name Index -- Subject Index -- Acknowledgments |
| Record Nr. | UNINA-9910785594203321 |
|
Nahin Paul J.
|
||
| Princeton, NJ : , : Princeton University Press, , [2010] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
In pursuit of zeta-3 : the world's most mysterious unsolved math problem / / Paul J. Nahin
| In pursuit of zeta-3 : the world's most mysterious unsolved math problem / / Paul J. Nahin |
| Autore | Nahin Paul J. |
| Pubbl/distr/stampa | Princeton, New Jersey : , : Princeton University Press, , [2021] |
| Descrizione fisica | 1 online resource |
| Disciplina | 510.1 |
| Soggetto topico | Mathematics - Philosophy |
| ISBN |
9780691227597
0-691-22759-4 9780691206073 |
| Classificazione | MAT015000TEC000000 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Cover -- Contents -- Preface -- 1. Euler's Problem -- 1.1. Introducing Euler -- 1.2. The Harmonic Series and the Riemann Zeta Function -- 1.3. Euler's Constant, the Zeta Function, and Primes -- 1.4. Euler's Gamma Function, the Reflection Formula, and the Zeta Function -- 1.5. Ramanujan's Master Theorem -- 1.6. Integral Forms for the Harmonic Series and Euler's Constant -- 1.7. Euler's Constant and the Zeta Function Redux (and the Digamma Function, Too) -- 1.8. Calculating ζ(3) -- 2. More Wizard Math and the Zeta Function ζ(s) -- 2.1. Euler's Infinite Series for ζ(2) -- 2.2. The Beta Function and the Duplication Formula -- 2.3. Euler Almost Computes ζ(3) -- 2.4. Integral Forms of ζ(2) and ζ(3) -- 2.5. Zeta Near s = 1 -- 2.6. Zeta Prime at s = 0 -- 2.7. Interlude -- 3. Periodic Functions, Fourier Series, and the Zeta Function -- 3.1. The Concept of a Function -- 3.2. Periodic Functions and Their Fourier Series -- 3.3. Complex Fourier Series and Parseval's Power Formula -- 3.4. Calculating ζ(2n) with Fourier Series -- 3.5. How Fourier Series Fail to Compute ζ(3) -- 3.6. Fourier Transforms and Poisson Summation -- 3.7. The Functional Equation of the Zeta Function -- 4. Euler Sums, the Harmonic Series, and the Zeta Function -- 4.1. Euler's Original Sums -- 4.2. The Algebra of Euler Sums -- 4.3. Euler's Double Sums -- 4.4. Euler Sums after Euler -- Epilogue -- Appendix 1: Solving the Impossible by Changing the Rules -- Appendix 2: Evaluating -- Appendix 3: Proof That Equals Zero -- Appendix 4: Double Integration Reversal Isn't Always Legal -- Appendix 5: Impossibility Results from Computer Science -- Challenge Problem Solutions -- Acknowledgments -- Index. |
| Record Nr. | UNINA-9910554222603321 |
|
Nahin Paul J.
|
||
| Princeton, New Jersey : , : Princeton University Press, , [2021] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||