Mathematical Methods in the Physical Sciences

3rd Edition

ISBN: 9780471198260

Author: Mary L. Boas

Publisher: Wiley, John & Sons, Incorporated

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Chapter 7.9, Problem 9P

Each of the functions in Problems 5 to 12 is given over one period. For each function, sketch several periods and decide whether it is even or odd. Then use (9.4) or (9.5) to expand it in an appropriate Fourier series.

f ( x ) = x 2 , − 1 2 < x < 1 2 .

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Chapter 7.9, Problem 8P

Chapter 7.9, Problem 10P

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Mathematical Methods in the Physical Sciences

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Each of the functions in Problems 5 to 12 is given over one period. For each function, sketch several periods and decide whether it is even or odd. Then use (9.4) or (9.5) to expand it in an appropriate Fourier series. f ( x ) = x 2 , − 1 2 &lt; x &lt; 1 2 .

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Chapter 7 Solutions

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Each of the functions in Problems 5 to 12 is given over one period. For each function, sketch several periods and decide whether it is even or odd. Then use (9.4) or (9.5) to expand it in an appropriate Fourier series. f ( x ) = x 2 , − 1 2 < x < 1 2 .