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CHAPTER I. Introduction
CHAPTER II. Development in Trigonometric Series
CHAPTER III. Convergence of Fourier's Series
CHAPTER IV. Solution of Problems in Physics by the Aid of Fourier's Integrals and Fourier's Series
CHAPTER V. Zonal Harmonics
CHAPTER VI. Spherical Harmonics
CHAPTER VII. Cylindrical Harmonics (Bessel's Functions)
CHAPTER VIII. Laplace's Equation in Curvilinear Co]ordinates. Ellipsoidal Harmonic
CHAPTER IX. Historical Summary