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by William Elwood Byerly
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ISBN: 0486495469 Dover Publications Price: $52.50 |
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One of the most useful and practical expositions of Fourier's series, and spherical, cylindrical, and ellipsoidal harmonics, this classic offers a basic but thorough treatment of material that is assumed in many other studies but rarely available in concise form. Includes 190 problems, approximately half with answers. 1893 edition.
Unabridged republication of the 1893 edition.
Table of Contents for An Elementary Treatise on Fourier's Series: and Spherical, Cylindrical, and Ellipsoidal Harmonics, with Applications to Problems in Mathematical Physics
| 1. Introduction | |||||||
| 2. Development in Trigonometric Series | |||||||
| 3. Convergence of Fourier's Series | |||||||
| 4. Solution of Problems in Physics by the Aid of Fourier's Integrals and Fourier's Series | |||||||
| 5. Zonal Harmonics | |||||||
| 6. Spherical Harmonics | |||||||
| 7. Cylindrical Harmonics (Bessel's Functions) | |||||||
| 8. Laplace's Equation in Curvilinear Coordinates. Ellipsoidal Harmonics | |||||||
| 9. Historical Summary |