One hundred physics visualizations using MATLAB / Dan Green.

Format:

Book

Author/Creator:

Green, Dan, author.

Contributor:

World Scientific (Firm)

Language:

English

Subjects (All):

Physics--Data processing.

Physics.

Numerical analysis--Computer programs.

Numerical analysis.

MATLAB.

Physical Description:

1 online resource (312 p.)

Edition:

1st ed.

Place of Publication:

Singapore : World Scientific Publishing, 2014.

Language Note:

English

Summary:

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 tools are used throughout and the software scripts accompany the text in Symbolic Mathematics, Classical Mechanics, Electromagnetism, Waves and Optics, Gases and Fluid Flow, Quantum Mechanics, Special and General Relativity, and Astrophysics and Cosmology. The emphasis is on building up an intuition by runnin

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

7.3 The Relativistic Rocket

Notes:

Description based upon print version of record.

Includes bibliographical references and index.

Description based on online resource; title from PDF title page (ebrary, viewed March 31, 2014).

ISBN:

9789814518451

981451845X

OCLC:

879025593