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How to Fall Slower Than Gravity : And Other Everyday (and Not So Everyday) Uses of Mathematics and Physical Reasoning /
An engaging collection of intriguing problems that shows you how to think like a mathematical physicistPaul Nahin is a master at explaining odd phenomena through straightforward mathematics. In this collection of twenty-six intriguing problems, he explores how mathematical physicists think. Always e...
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Princeton :
Princeton University Press,
[2018]
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| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Cover; Title; Copyright; Dedication; Contents; Preface; PART I. THE PROBLEMS; Problem 1. A Military Question: Catapult Warfare; Problem 2. A Seemingly Impossible Question: A Shocking Snow Conundrum; Problem 3. Two Math Problems: Algebra and Differential Equations Save the Day; Problem 4. An Escape Problem: Dodge the Truck; Problem 5. The Catapult Again: Where Dead Cows Can't Go!; Problem 6. Another Math Problem: This One Requires Calculus; Problem 7. If Theory Fails: Monte Carlo Simulation; Problem 8. Monte Carlo and Theory: The Drunkard's One-Dimensional Random Walk.
- Problem 9. More Monte Carlo: A Two-Dimensional Random Walk in ParisProblem 10. Flying with (and against) the Wind: Math for the Modern Traveler; Problem 11. A Combinatorial Problem with Physics Implications: Particles, Energy Levels, and Pauli Exclusion; Problem 12. Mathematical Analysis: By Physical Reasoning; Problem 13. When an Integral Blows Up: Can a Physical Quantity Really Be Infinite?; Problem 14. Is This Easier Than Falling Off a Log? Well, Maybe Not; Problem 15. When the Computer Fails: When Every Day Is a Birthday.
- Problem 16. When Intuition Fails: Sometimes What Feels Right, Just Isn'tProblem 17. Computer Simulation of the Physics of NASTYGLASS: Is This Serious? ... Maybe; Problem 18. The Falling-Raindrop, Variable-Mass Problem: Falling Slower Than Gravity; Problem 19. Beyond the Quadratic: A Cubic Equation and Discontinuous Behavior in a Physical System; Problem 20. Another Cubic Equation: This One Inspired by Jules Verne; Problem 21. Beyond the Cubic: Quartic Equations, Crossed Ladders, Undersea Rocket Launches, and Quintic Equations.
- Appendix 3. Landen's Calculus Solution to the Depressed Cubic EquationAppendix 4. Solution to Lord Rayleigh's Rotating-Ring Problem of 1876; Acknowledgments; Index; Also by Paul J. Nahin.