The Mathematical Analysis Of Electrical And Optical Wave-Motion On The Basis Of Maxwell's Equations - Couverture souple

Bateman, H

 
9780548674079: The Mathematical Analysis Of Electrical And Optical Wave-Motion On The Basis Of Maxwell's Equations

Synopsis

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Présentation de l'éditeur

CHAPTER I FUNDAMENTAL IDEAS § 1. The fundamental equations for free aether. In Maxwell's electromagnetic theory the state of the aether in the vicinity of a point (x, y, z) at time t is specified by means of two vectors E and H which satisfy the circuital relations * Cc***' idE .„ dH ... TOiH=s-c-dt> rotE = '~c^t and the solenoidal or sourceless conditions divE=0, div#=0. If right-handed rectangular axes are used the symbolf rot H denotes the vector whose components are of type dHt dffy dy dz ' the three components of H being Hx, Hy, H2 respectively. The symbol div H denotes the divergence of H, i.e. the quantity dx dy dz The vector E is called the electric displacement or electric force and H the magnetic force. The quantity c represents the * The equations are written In the symmetrical form in which they were presented by 0. Heavisjde, Electrical Papers, Vol. 1, § 30, and H. Hertz, Electric Waves, p. 138. Sir Joseph Larmor points

Table of Contents

CONTENTS; chap page; I Fundamental ideas1; ADDITIONS AND CORRECTIONS; p 28 Formula (30) iB due to Lame Cf A E H Love, The Mathematical; Theory of Elasticity, 2nd edition, p 55 p 101 An asymptotic expression for Tnn (s) when n is a large positive integer; can be derived from a formula given by L Fejer in 1909 This; formula is accessible in a paper by O Perron, Arkiv der Mat u; Phys (1914); p 118 The factor c in front of the double integrals should be omitted; p 120 Delete the minus sign in the second of equations (277); p 127 Line 8 This statement is incorrect, the equations are poristic, the; special case is the only one which can occur, p 132 Line 20 On account of the porism just mentioned, the hope may be; abandoned; p 150 Ex 13 For equations (10) of § 5 read equations (2) of § 2 p 154 Ex 24 The equation should read; 3 r i , dv , en a r , bv-; _ C03 (? _ e) __ + , sm (o _ e) _J + _ y[t - r) g-j; + _^sm(a-e)^ + (t-r)g--(r(t-r)cos(a-e)wJ = 0,; CONTENTS;

Présentation de l'éditeur

This book was originally published prior to 1923, and represents a reproduction of an important historical work, maintaining the same format as the original work. While some publishers have opted to apply OCR (optical character recognition) technology to the process, we believe this leads to sub-optimal results (frequent typographical errors, strange characters and confusing formatting) and does not adequately preserve the historical character of the original artifact. We believe this work is culturally important in its original archival form. While we strive to adequately clean and digitally enhance the original work, there are occasionally instances where imperfections such as blurred or missing pages, poor pictures or errant marks may have been introduced due to either the quality of the original work or the scanning process itself. Despite these occasional imperfections, we have brought it back into print as part of our ongoing global book preservation commitment, providing customers with access to the best possible historical reprints. We appreciate your understanding of these occasional imperfections, and sincerely hope you enjoy seeing the book in a format as close as possible to that intended by the original publisher.

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