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Physics / An Introduction to Thermal Physics 1 / Chapter B / Problem 18P

An Introduction to Thermal Physics | 1st Edition | ISBN: 9780201380279 | Authors: Daniel V. Schroeder

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QUESTION:

Problem 18P

Use a computer to plot the sum of sine waves on the right-hand side of equation B.41, terminating the sum first at k = 1, then at k = 3, 5, 15, and 25. Notice how the series does converge to the square-wave function that we started with, but the convergence is not particularly fast.

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QUESTION:

Problem 18P

Use a computer to plot the sum of sine waves on the right-hand side of equation B.41, terminating the sum first at k = 1, then at k = 3, 5, 15, and 25. Notice how the series does converge to the square-wave function that we started with, but the convergence is not particularly fast.

ANSWER:

Step 1

As stated in equation (B.41), the square wave can be written as

Now we have to use this formula for different values of $k$ and then we have to show that the sum converges to the square wave.

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