Harmonic Functions (Classic Reprint) - Couverture souple

Webb, Sidney

9781330097571: Harmonic Functions (Classic Reprint)

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ISBN 10 : 1330097572 ISBN 13 : 9781330097571

Editeur : Forgotten Books, 2018

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Explore the math behind waves, heat, and electric fields with Harmonic Functions.
This classic introduction explains how partial differential equations describe physical problems, from vibrating strings to heat flow. It focuses on Laplace’s equation and its key role in engineering and physics, using accessible examples and practical tables to connect theory with real-world problems.

Written for students with a solid math background, this edition presents the origins of harmonic analysis, the use of trigonometric series, and the extension of these ideas to zonal and spherical harmonics and Bessel functions. It also demonstrates how these tools solve concrete problems in heat conduction, vibrations, and electrostatic or magnetic fields.

Foundational explanations of Laplace’s equation and its applications in physics and engineering

Step-by-step treatment of Fourier series and their extensions to broader problems

Practical problem sets and numerical tables to support real-world calculations

Introductions to related topics like zonal harmonics and Bessel functions for deeper study

Ideal for readers seeking a solid, hands-on introduction to mathematical physics and applied analysis.

Les informations fournies dans la section � Synopsis � peuvent faire r�f�rence � une autre �dition de ce titre.

�diteur: Forgotten Books
Date d'�dition: 2018
Langue: anglais
ISBN 10: 1330097572
ISBN 13: 9781330097571
Reliure: Broch�
Nombre de pages: 72
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Harmonic Functions (Classic Reprint)

William Elwood Byerly

Edit� par Forgotten Books, 2018

ISBN 10 : 1330097572 ISBN 13 : 9781330097571

Neuf Paperback

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Vendeur : Forgotten Books, London, Royaume-Uni

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Paperback. Etat : New. Print on Demand. This book delves into the fascinating realm of harmonic functions and their profound applications in mathematical physics. Emerging from the study of real-world problems like heat conduction, fluid motion, and electromagnetism, harmonic analysis has evolved into a cornerstone of modern physics and engineering. The author embarks on a captivating journey through the historical development of this field, highlighting the contributions of mathematicians such as Bernoulli, Bessel, Legendre, Laplace, and Fourier. The book explores diverse mathematical tools, including Fourier series, zonal harmonics, and Bessel functions, providing a comprehensive understanding of their properties and practical applications. Through a series of engaging problems and illustrative examples, readers are guided in applying these tools to solve problems in heat conduction, potential theory, and wave propagation. The book delves into the intricacies of harmonic functions, exploring their mathematical elegance and their ability to unravel the complexities of the physical world. In essence, this book illuminates the profound connection between mathematics and the physical universe, demonstrating how abstract mathematical concepts can elegantly explain and predict natural phenomena. 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. N� de r�f. du vendeur 9781330097571_0

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