An Elementary Treatise On Fourier's Series And Spherical, Cylindrical, And Ellipsoidal Harmonics

An Elementary Treatise On Fourier's Series And Spherical, Cylindrical, And Ellipsoidal Harmonics: With Applications To Problems In Mathematical Physics (1893) is a comprehensive guide to the mathematical concepts of Fourier's series and spherical, cylindrical, and ellipsoidal harmonics. Written by William Elwood Byerly, the book provides a detailed and accessible introduction to these complex topics, with a focus on their applications in the field of mathematical physics.The book begins with an overview of Fourier's series, including the theory of Fourier coefficients and the convergence of Fourier series. From there, it delves into the study of spherical harmonics, including their properties and applications in the solution of Laplace's equation. The book also covers cylindrical and ellipsoidal harmonics, exploring their properties and applications in the solution of partial differential equations.Throughout the book, Byerly provides numerous examples and applications of these mathematical concepts, making the material accessible to readers with a range of backgrounds and levels of mathematical expertise. The book is written in a clear and engaging style, with numerous diagrams and illustrations to aid in understanding.Overall, An Elementary Treatise On Fourier's Series And Spherical, Cylindrical, And Ellipsoidal Harmonics: With Applications To Problems In Mathematical Physics (1893) is an essential resource for anyone interested in the study of mathematical physics, providing a detailed and accessible introduction to these important mathematical concepts.This scarce antiquarian book is a facsimile reprint of the old original and may contain some imperfections such as library marks and notations. Because we believe this work is culturally important, we have made it available as part of our commitment for protecting, preserving, and promoting the world's literature in affordable, high quality, modern editions, that are true to their original work.