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Excerpt from The Messenger of Mathematics, Vol. 7: May, 1877-April, 1878
The quantity Y, is in general a function of the two polar coordinates 0 and d), it is the quantity we want to determine.
Yide Phil. Mag., October, 1876. Note on Spherical Harmonics, by Professor Sylvester.
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The Messenger of Mathematics, Vol. 7: May, 1877-April, 1878 (Classic Reprint)
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The Messenger of Mathematics, Vol. 7: May, 1877-April, 1878 (Classic Reprint)
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The Messenger of Mathematics, Vol. 7: May, 1877-April, 1878 (Classic Reprint)
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Paperback. Zustand: New. Print on Demand. This book explores the origins of spherical harmonics from zonal harmonics, and offers a method for deducing the higher transcendents in certain mechanical problems. The author first defines spherical harmonics and zonal harmonics, then proceeds to prove a theorem that forms the basis for their relationship. Using this theorem, the author provides a general expression for a harmonic referred to its poles as axes, and shows its application to other types of harmonics. The book also includes a sketch of Professor Maxwell's proof of Laplace's expansion and concludes with a discussion of using the general harmonic expression to find the potential of an infinitely thin shell of matter. This book will be of interest to mathematicians, physicists, and engineers working in the fields of applied mathematics, theoretical physics, and mechanics. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. Bestandsnummer des Verkäufers 9780282740733_0
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