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The Mathematical Analysis Of Electrical And Optical Wave-Motion On The Basis Of Maxwell’s Equations (1915) - Tapa blanda

Bateman, H

 
9780548674079: The Mathematical Analysis Of Electrical And Optical Wave-Motion On The Basis Of Maxwell’s Equations (1915)

Sinopsis

This scarce antiquarian book is a facsimile reprint of the original. Due to its age, it may contain imperfections such as marks, notations, marginalia and flawed pages. 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 the original work.

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Reseña del editor

This scarce antiquarian book is a facsimile reprint of the original. Due to its age, it may contain imperfections such as marks, notations, marginalia and flawed pages. 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 the original work.

Reseña del editor

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;

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