## Physics with MAPLE: The Computer Algebra Resource for Mathematical Methods in PhysicsWritten by an experienced physicist who is active in applying computer algebra to relativistic astrophysics and education, this is the resource for mathematical methods in physics using MapleTM and MathematicaTM. Through in-depth problems from core courses in the physics curriculum, the author guides students to apply analytical and numerical techniques in mathematical physics, and present the results in interactive graphics. Around 180 simulating exercises are included to facilitate learning by examples. This book is a must-have for students of physics, electrical and mechanical engineering, materials scientists, lecturers in physics, and university libraries. * Free online MapleTM material at http://www.wiley-vch.de/templates/pdf/maplephysics.zip * Free online MathematicaTM material at http://www.wiley-vch.de/templates/pdf/physicswithmathematica.zip * Solutions manual for lecturers available at www.wiley-vch.de/supplements/ |

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### Contents

Oscillatory Motion | 41 |

Calculus of Variations | 71 |

The Computer Algebra Resource for Mathematical Methods in Physics Frank Y Wang | 101 |

Copyright | |

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according amplitude angle angular momentum atom axis Bessel functions calculations Cartesian chapter circuit classical coefficients complex numbers components constant corresponds Coulomb's law defined denoted derivation differential equation diffraction dipole discuss dsolve command electric field electromagnetic electron end proc Epr2 Epr3 Epr4 Eprl Eprll Eql4 equations of motion equipotential Euler-Lagrange equation evaluate example expansion express Figure force formula four-vector Fourier series frequency Friedmann equation Gaussian initial conditions integral kinetic energy Lagrangian Laplace equation Legendre polynomials linear magnetic field Maple Maple's mass method metric name changecoords notation obtain orbit parameter particle phase physical plane plot polar potential energy problem quantum mechanics r2vec radiation radius redefined result RLC circuit scalar scaling=constrained Schrodinger equation Section sin2 Solnl solve space spherical coordinates spherical harmonics symbols symmetry tensor trajectory values var2 variable velocity verify wave function wave packet with(LinearAlgebra with(plots zero