Vector Spaces in Physics
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Chapter 7. The Wave Equation
The vector spaces that we have described so far were finite dimensional. Describing position in
the space we live in requires an infinit
Vector Spaces in Physics
8/12/2013
Chapter 10. Fourier Transforms and the Dirac Delta Function
A. The Fourier transform.
The Fourier-series expansions which we have discussed are valid for functions e
Vector Spaces in Physics
8/12/2013
Chapter 9. Fourier Series
A. The Fourier Sine Series
The general solution. In Chapter 8 we found solutions to the wave equation for a string fixed at
both ends, of l
Vector Spaces in Physics
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Chapter 8. Standing Waves on a String
The superposition principle for solutions of the wave equation guarantees that a sum of waves, each satisfying the wave equatio
Vector Spaces in Physics
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Chapter 6a. Space-time four-vectors.
The preceding chapters have focused on a description of space in terms of three
independent, equivalent coordinates. Here we dis
Vector Spaces in Physics
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Chapter 6. Rotations and Tensors
There is a special kind of linear transformation which is used to transforms coordinates from one set of axes to another set of axes
Vector Spaces in Physics
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Chapter 5. The Inverse; Numerical Methods
In the Chapter 3 we discussed the solution of systems of simultaneous linear algebraic equations which could be written in
Vector Spaces in Physics
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Chapter 4. Practical Examples.
In this chapter we will discuss solutions to two physics problems where we make use of techniques discussed in this book. In both case
Vector Spaces in Physics
8/14/2012
Chapter 3. Linear Equations and Matrices
A wide variety of physical problems involve solving systems of simultaneous linear equations. These systems of linear equati
Vector Spaces in Physics
8/12/2013
Chapter 2. The Special Symbols ij and ijk , the Einstein
Summation Convention, and some Group Theory
Working with vector components and other numbered objects can be
Vector Spaces in Physics
8/12/2013
Chapter 1. Vectors
We are all familiar with the distinction between things which have a direction and those
which don't. The velocity of the wind (see figure 1.1) is
San Francisco State University
Department of Physics and Astronomy
August 12, 2013
Vector Spaces in Physics
Notes
for
Ph 385: Introduction to
Theoretical Physics I
R. Bland
TABLE OF CONTENTS
Chapter I