Fourier Series and Spherical Harmonics by William Byerly
Fourier Series and Spherical Harmonics - Table of Contents
- 1. Theory of Sequences and Limits
- 2. Tests for Series of Positive Terms
- 3. Properties of Series in General
- 4. Principles of Absolute Convergence
- 5. Rearrangement of Double Series
- 6. Convergence of Infinite Products
- 7. Uniform Convergence of Series of Variable Terms
- 8. Properties and Radius of Power Series
- 9. Expansions of Trigonometrical Formulae
- 10. Theory of Complex Series and Products
- 11. Special Complex Series and Functions
- 12. Asymptotic & Non-Convergent Series
What You Will Learn in Fourier Series and Spherical Harmonics
An Elementary Treatise on Fourier's Series and Spherical Harmonics by William Byerly is a fundamental classic monograph for students of mathematical physics and applied analysis. Serving as an essential spherical harmonics textbook for physics students, this work systematically develops partial differential equations and orthogonal functions.
Byerly's clear exposition enables readers to learn spherical harmonics step-by-step. The text provides rigorous treatments of Dirichlet's conditions, Legendre polynomials, Bessel functions, cylindrical harmonics, and potential theory, making this a complete william byerly fourier series pdf study resource.
Ideal for university instruction and self-study, this historical reference offers a valuable free spherical harmonics textbook for beginners. Available as an open-access public domain monograph, it stands as an indispensable fourier series and harmonics study guide for self-learners mastering classical boundary value problems.
Book Details & Specifications
Title:
Fourier Series and Spherical Harmonics by William Byerly
Publisher:
Macmillan and Company, Limited
Year:
1893
Pages:
313
Type:
PDF
Language:
English
ISBN-10 #:
1144342589
ISBN-13 #:
978-1144342584
License:
Public Domain Work
Amazon:
Amazon
About the Author: William Elwood Byerly
The author William Elwood Byerly
(1849–1935) was a distinguished American mathematician and Perkins Professor of Mathematics at Harvard University, celebrated for establishing Harvard's graduate mathematics program and writing foundational textbooks on calculus and differential equations.
His famous treatise, Fourier's Series and Spherical Harmonics PDF by William Byerly, remains widely respected for its exceptional pedagogical clarity, physical applications, and detailed step-by-step examples.
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