How to Fall Slower Than Gravity

Name: How to Fall Slower Than Gravity | And Other Everyday (and Not So Everyday) Uses of Mathematics and Physical Reasoning
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And Other Everyday (and Not So Everyday) Uses of Mathematics and Physical Reasoning

Paul J. Nahin(Autor*in)

Princeton University Press

1. Auflage

Erschienen am 27. November 2018

320 Seiten

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978-0-691-18502-6 (ISBN)

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Inhalt

Cover
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 Paris
Problem 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't
Problem 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
Problem 22. Escaping an Atomic Explosion: Why the Enola Gay Survived
Problem 23. "Impossible'' Math Made Easy: Gauss's Congruence Arithmetic
Problem 24. Wizard Math: Fourier's Series, Dirac's Impulse, and Euler's Zeta Function
Problem 25. The Euclidean Algorithm: The Zeta Function and Computer Science
Problem 26. One Last Quadratic: Heaviside Locates an Underwater Fish Bite!
PART II. THE SOLUTIONS
Appendix 1. MATLAB, Primes, Irrationals, and Continued Fractions
Appendix 2. A Derivation of Brouncker's Continued Fraction for 4/p
Appendix 3. Landen's Calculus Solution to the Depressed Cubic Equation
Appendix 4. Solution to Lord Rayleigh's Rotating-Ring Problem of 1876
Acknowledgments
Index
Also by Paul J. Nahin
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