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001 | on1053623326 | ||
003 | OCoLC | ||
005 | 20220908100148.0 | ||
006 | m o d | ||
007 | cr cnu|||unuuu | ||
008 | 180920s2018 nju o 001 0 eng d | ||
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_a510.76 _223 |
049 | _aMAIN | ||
100 | 1 |
_aNahin, Paul J., _eauthor. _965221 |
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245 | 1 | 0 |
_aHow to Fall Slower Than Gravity : _bAnd Other Everyday (and Not So Everyday) Uses of Mathematics and Physical Reasoning / _cPaul J. Nahin. |
264 | 1 |
_aPrinceton : _bPrinceton University Press, _c[2018] |
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300 | _a1 online resource | ||
336 |
_atext _btxt _2rdacontent |
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_acomputer _bc _2rdamedia |
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_aonline resource _bcr _2rdacarrier |
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500 | _aIncludes index. | ||
588 | 0 | _aVendor-supplied metadata. | |
505 | 0 |
_6880-01 _aCover; 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. |
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505 | 8 | _aProblem 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. | |
505 | 8 | _aProblem 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. | |
505 | 8 | _aAppendix 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. | |
520 | _aAn 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 entertaining, the problems range from ancient catapult conundrums to the puzzling physics of a very peculiar kind of glass called NASTYGLASS--and from dodging trucks to why raindrops fall slower than the rate of gravity. The questions raised may seem impossible to answer at first and may require an unexpected twist in reasoning, but sometimes their solutions are surprisingly simple. Nahin's goal, however, is always to guide readers--who will need only to have studied advanced high school math and physics--in expanding their mathematical thinking to make sense of the curiosities of the physical world. The problems are in the first part of the book and the solutions are in the second, so that readers may challenge themselves to solve the questions on their own before looking at the explanations. The problems show how mathematics--including algebra, trigonometry, geometry, and calculus--can be united with physical laws to solve both real and theoretical problems. Historical anecdotes woven throughout the book bring alive the circumstances and people involved in some amazing discoveries and achievements. More than a puzzle book, this work will immerse you in the delights of scientific history while honing your math skills. | ||
590 |
_aIEEE _bIEEE Xplore Princeton University Press eBooks Library |
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650 | 0 |
_aMathematics _vProblems, exercises, etc. _965222 |
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650 | 0 |
_aReasoning. _922773 |
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650 | 7 |
_aMATHEMATICS _xEssays. _2bisacsh _964120 |
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650 | 7 |
_aMATHEMATICS _xPre-Calculus. _2bisacsh _964121 |
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650 | 7 |
_aMATHEMATICS _xReference. _2bisacsh _964122 |
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650 | 7 |
_aMATHEMATICS _xAlgebra _xGeneral. _2bisacsh _964223 |
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_aMathematics. _2fast _0(OCoLC)fst01012163 _911584 |
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650 | 7 |
_aReasoning. _2fast _0(OCoLC)fst01091282 _922773 |
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655 | 2 |
_aProblems and Exercises _97271 |
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655 | 4 |
_aElectronic books. _93294 |
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655 | 7 |
_aexercise books. _2aat _965223 |
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655 | 7 |
_aProblems and exercises. _2fast _0(OCoLC)fst01423783 _97271 |
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655 | 7 |
_aProblems and exercises. _2lcgft _97271 |
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655 | 7 |
_aProbl�emes et exercices. _2rvmgf _965224 |
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776 | 0 | 8 |
_iPrint version: _aNahin, Paul J. _tHow to Fall Slower Than Gravity. _dPrinceton : Princeton University Press, [2018] _w(DLC) 2018936898 |
856 | 4 | 0 | _uhttps://ieeexplore.ieee.org/servlet/opac?bknumber=9452333 |
880 | 8 |
_6505-01/(S _aProblem 22. Escaping an Atomic Explosion: Why the Enola Gay SurvivedProblem 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/(Ss(B. |
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