One Hundred Physics Visualizations Using Matlab (With Dvd-Rom).

This book provides visualizations of many topics in general physics. The aim is to have an interactive MATLAB script wherein the user can vary parameters in a specific problem and then immediately see the outcome by way of dynamic "movies" of the response of the system in question. MATLAB...

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Bibliographic Details
Main Author: Green, Dan
Format: eBook
Language:English
Published: Singapore : World Scientific Publishing Company, 2013.
Subjects:
Online Access:Click for online access
Table of Contents:
  • Preface; Contents; 1. Symbolic Mathematics and Math Tools; 1.1 MATLAB Functions; 1.2 Symbolic Differentiation; 1.3 Symbolic Integration; 1.4 Taylor Expansion; 1.5 Series Summation; 1.6 Polynomial Factorization; 1.7 Equation Solving; 1.8 Inverse Functions; 1.9 Matrix Inversion; 1.10 Matrix Eigenvalues; 1.11 Ordinary Differential Equations; 1.12 Fourier Series; 1.13 Data Fitting; 1.14 MATLAB Utilities; 2. Classical Mechanics; 2.1 Simple Harmonic Oscillator; 2.2 Coupled Pendulums; 2.3 Triatomic Molecule; 2.4 Scattering Angle and Force Laws; 2.5 Classical Hard Sphere Scattering
  • 2.6 Ballistics and Air Resistance 2.7 Rocket Motion
  • Symbolic and Numerical; 2.8 Taking the Free Subway; 2.9 Large Angle Oscillations
  • Pendulum; 2.10 Double Pendulum; 2.11 Coriolis Force; 2.12 Kepler Orbits-Numerical; 2.13 Analytic Kepler Orbits
  • Energy Considerations; 2.14 Stable Orbits and Perihelion Advance; 3. Electromagnetism; 3.1 Electric Potential for Point Charges; 3.2 Image Charge for a Grounded Sphere; 3.3 Magnetic Current Loop; 3.4 Helmholtz Coil; 3.5 Magnetic Shielding; 3.6 Potentials and Complex Variables; 3.7 Numerical Solution-Laplace Equation
  • 3.8 Numerical Solution-Poisson Equation 3.9 Light Pressure and Solar Sailing; 3.10 Motion in Electric and Magnetic Fields; 3.11 The Cyclotron; 3.12 Dipole Radiation; 4. Waves and Optics; 4.1 Adding Waves; 4.2 Damped and Driven Oscillations; 4.3 A Plucked String; 4.4 A Circular Drum; 4.5 Diffraction by Slits and Apertures; 4.6 Edge Diffraction; 4.7 Doppler Shift and Cerenkov Radiation; 4.8 Reflection and Transmission at an Interface; 4.9 A Spherical Mirror; 4.10 A Spherical Lens; 4.11 A Magnetic Quadrupole Lens System; 5. Gases and Fluid Flow; 5.1 The Atmosphere
  • 5.2 An Ideal Gas Model in Two Dimensions 5.3 Maxwell-Boltzmann Distributions; 5.4 Fermi-Dirac and Bose-Einstein Distributions; 5.5 Chemical Potential, Bosons; 5.6 Chemical Potential, Fermions; 5.7 Critical Temperature for He; 5.8 Exact Fermion Chemical Potential; 5.9 Complex Variables and Flow; 5.10 Complex Variables and Airfoils; 5.11 Complex Variables and Sources of Flow; 5.12 Viscosity Model; 5.13 Transport and Viscosity; 5.14 Fluid Flow in a Pipe; 5.15 Heat and Diffusion; 6. Quantum Mechanics; 6.1 Preliminaries-Planck Distribution; 6.2 Bound States
  • Oscillating or Damped
  • 6.3 Hydrogen Atom 6.4 Periodic Table
  • Ionization Potential and Atomic Radius; 6.5 Simple Harmonic Oscillator; 6.6 Other Force Laws; 6.7 Deep Square Well; 6.8 Shallow Square Well; 6.9 Wave Packets; 6.10 Numerical Solution for Bound States; 6.11 Scattering off a Potential Step; 6.12 Scattering Off a Potential Well or Barrier; 6.13 Wave Packet Scattering on a Well or Barrier; 6.14 Born Approximation
  • Scattering and Force Laws; 6.15 Spherical Harmonics
  • 3D; 6.16 Free Particle in 3D; 6.17 Radioactive Decay-Fitting; 7. Special and General Relativity; 7.1 Time Dilation; 7.2 Relativistic Travel