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First published in 1893, Byerly's classic treatise on Fourier's series and spherical, cylindrical, and ellipsoidal harmonics has been used in classrooms for well over a century. This practical exposition acts as a primer for fields such as wave mechanics, advanced engineering, and mathematical physics. Topics covered include: . development in trigonometric series . convergence on Fourier's series . solution of problems in physics by the ...

This is a pre-1923 historical reproduction that was curated for quality. Quality assurance was conducted on each of these books in an attempt to remove books with imperfections introduced by the digitization process. Though we have made best efforts - the books may have occasional errors that do not impede the reading experience. We believe this work is culturally important and have elected to bring the book back into print as part of our cont...

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Excerpt from Elements of the Integral Calculus: With a Key to the Solution of Differential Equations, and a Short Table of Integrals The following volume is a sequel to my treatise on the Differential Calculus, and, like that, is written as a text-hook. The last chapter, however, a Key to the Solution of Differential Equations, may prove of service to working mathematicians. I have used freely the works of Bertrand, Benjamin Peirce, Todhunte...

Excerpt from Introduction to the Calculus of Variations In our new problems, to speak in geometrical language, we have to find the form of a curve for which our integral, I, is greater or less than for any neighboring curve having the same end-points. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work....

Excerpt from Harmonic Functions The use of Trigonometric Series was first suggested by Daniel Bernouilli in 1753 in his researches on the musical vibrations Of stretched elastic strings, although Bessel's Func tions had been already (1732) employed by him and by Euler in dealing with the-vibrations of a heavy string suspended from one end, and Zonal and Spherical Harmonics were introduced by Legendre and Laplace in 1782 in dealing with the at...

Excerpt from An Introduction to the Use of Generalized Coördinates in Mechanics and Physics Obviously these coordinates must be numerous enough to fix the position without ambiguity and not so numerous as to render it impossible to change any one at pleasure without changing any of the others and without violating the restrictions of the problem. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. ...

An elementary treatise on Fourier's series and spherical, cylindrical, and ellipsoidal harmonics is an unchanged, high-quality reprint of the original edition of 1893. Hansebooks is editor of the literature on different topic areas such as research and science, travel and expeditions, cooking and nutrition, medicine, and other genres.As a publisher we focus on the preservation of historical literature.Many works of historical writers and scien...

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Excerpt from Elements of the Integral Calculus: With a Key to the Solution of Differential EquationsThe following volume is a sequel to my treatise on the Differential Calculus, and, like that, is written as a text-book. The last chapter, however, a Key to the Solution of Differential Equations, may prove of service to working mathematicians.I have used freely the works of Bertrand, Benjamin Peirce, Todhunter, 'and Boole, and I am much indebte...

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Excerpt from Syllabus of a Course in Plane Analytic Geometry Define the locus of an equation, the equation of a curve. If a curve is given by its equation and a point by its coordinates, show how it can be ascertained whether the point does or does not lie on the curve. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an importa...

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This is a pre-1923 historical reproduction that was curated for quality. Quality assurance was conducted on each of these books in an attempt to remove books with imperfections introduced by the digitization process. Though we have made best efforts - the books may have occasional errors that do not impede the reading experience. We believe this work is culturally important and have elected to bring the book back into print as part of our cont...