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An Elementary Treatise On Fourier's Series and Spherical, Cylindrical, and Ellipsoidal Harmonics, With Applications To Problems In Mathematical Physics. By William Elwood Byerly, Ph.D., Professor Of Mathematics In Harvard University~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~A Fourier series... Read Full Overview

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... Read Full Overview

An exploration of the mathematical principles underlying the study of harmonic functions on the sphere, cylinder, and ellipsoid, this comprehensive textbook is an essential resource for anyone interested in the frontiers of applied mathematics.

This work has been selected... Read Full Overview

An exploration of the mathematical principles underlying the study of harmonic functions on the sphere, cylinder, and ellipsoid, this comprehensive textbook is an essential resource for anyone interested in the frontiers of applied mathematics.

This work has been selected... Read Full Overview

This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it.

This work is in the "public domain in the United States of America, and possibly other nations. Within the United States, you may freely... Read Full Overview

Excerpt from An Elementary Treatise on Series Spherical

This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original... Read Full Overview

About ten years ago I gave a course of lectures on Trigonometric Series, following closely the treatment of that subject in Riemann's \Partielle Differentialgleichungen," to accompany a short course on The Potential Function, given by Professor B. O. Peirce.My course has been... Read Full Overview

About ten years ago I gave a course of lectures on Trigonometric Series, following closely the treatment of that subject in Riemann's \Partielle Differentialgleichungen," to accompany a short course on The Potential Function, given by Professor B. O. Peirce.My course has been... Read Full Overview

About ten years ago I gave a course of lectures on Trigonometric Series, following closely the treatment of that subject in Riemann's \Partielle Differentialgleichungen," to accompany a short course on The Potential Function, given by Professor B. O. Peirce.My course has been... Read Full Overview

About ten years ago I gave a course of lectures on Trigonometric Series, following closely the treatment of that subject in Riemann's \Partielle Differentialgleichungen," to accompany a short course on The Potential Function, given by Professor B. O. Peirce.My course has been... Read Full Overview