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