Another great vintage math textbook from Gutenberg. This math text by William Elwood Byerly, a professor at Harvard University, is full of well-explained examples. Despite the age, this text uses plain language to explain terms and would probably make a great supplement to a more modern text on the same subject.

Students will need to be familiar with differential and integral calculus.

## Table of Contents

- 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
- Miscellaneous Problems
- I. Logarithmic Potential. Polar Coordinates
- II. Potential Function in Space
- III. Conduction of Heat in a Plane
- IV. Conduction of Heat in Space
- Chapter V: Zonal Harmonics
- Chapter VI: Spherical Harmonics
- Chapter VII: Cylindrical Harmonics (Bessel’s Functions)
- Chapter VIII: Laplace’s Equation in Curvilinear Coordinates. Ellipsoidal Harmonics
- Chapter IX: Historical Summary
- Appendix

View this Free Online Material at the source:

An Elementary Treatise on Fourier’s Series and Spherical, Cylindrical, and Ellipsoidal Harmonics With Applications to Problems in Mathematical Physics