CHAPTER I. IntroductionCHAPTER II. Development in Trigonometric SeriesCHAPTER III. Convergence of Fourier’s SeriesCHAPTER IV. Solution of Problems in Physics by the Aid of Fourier’s Integrals and Fourier’s SeriesCHAPTER V. Zonal HarmonicsCHAPTER VI. Spherical HarmonicsCHAPTER VII. Cylindrical Harmonics (Bessel’s Functions)CHAPTER VIII. Laplace’s Equation in Curvilinear Co¨ordinates. Ellipsoidal HarmonicCHAPTER IX. Historical Summary 3