文档介绍：Physics with Maple™
puter Algebra Resource for Mathematical Methods
in Physics
Frank Y. Wang
WILEY-VCH Verlag GmbH & Co. KGaA
December 11, 2005
Contents
Preface XI
Guide for Users XVII
Bibliography..................................... XIX
1 Introduction 1
.................................... 1
..................... 10
..................................... 14
.............................. 17
ExactSolutions............................. 18
SpecialFunctions............................ 19
NumericalSolutions.......................... 21
.............................. 24
.................................... 36
2 Oscillatory Motion 41
Simple Harmonic Oscillator . . . . ...................... 41
Damped Oscillation . . ............................. 45
Overdamping.............................. 46
Underdamping............................. 48
CriticalDamping............................ 49
Sinusoidally Driven Oscillation . . . ...................... 50
................................... 60
3 Calculus of Variations 71
–LagrangeEquation............................ 71
............................. 72
.............................. 80
............................ 82
.................... 86
............................... 89
Physics with Maple™: puter Algebra Resource for Mathematical Methods in Physics. Frank Y. Wang
Copyright © 2006 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim
ISBN: 3-527-40640-9
VI Contents
4 Integration of Equations of Motion 101
........................... 101
Double Pendulum . . . . ............................ 102
-forceProblem..........................