The Mathematical Analysis of Electrical and Optical Wave-Motion on the Basis of Maxwell's Equations (Classic Reprint)

 
9781440089138: The Mathematical Analysis of Electrical and Optical Wave-Motion on the Basis of Maxwell's Equations (Classic Reprint)

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;

"synopsis" may belong to another edition of this title.

Book Description:

Originally published in 1915, this textbook 'is intended as an introduction to some recent developments of Maxwell's electromagnetic theory which are directly connected with the solution of the partial differential equation of wave-motion'. An extensive knowledge and understanding of mathematics is considered a pre-requisite, as is knowledge on the existing theorems surrounding such study.

"About this title" may belong to another edition of this title.

Top Search Results from the AbeBooks Marketplace

1.

Harry Bateman
Published by Forgotten Books (2010)
ISBN 10: 1440089132 ISBN 13: 9781440089138
New Paperback Quantity Available: 1
Seller:
Irish Booksellers
(Rumford, ME, U.S.A.)
Rating
[?]

Book Description Forgotten Books, 2010. Paperback. Book Condition: New. book. Bookseller Inventory # M1440089132

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 31.07
Convert Currency

Add to Basket

Shipping: FREE
Within U.S.A.
Destination, Rates & Speeds

2.

Harry Bateman
Published by Forgotten Books (2010)
ISBN 10: 1440089132 ISBN 13: 9781440089138
New Paperback Quantity Available: 1
Print on Demand
Seller:
Revaluation Books
(Exeter, United Kingdom)
Rating
[?]

Book Description Forgotten Books, 2010. Paperback. Book Condition: Brand New. 176 pages. 9.00x6.00x0.40 inches. This item is printed on demand. Bookseller Inventory # zk1440089132

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 23.63
Convert Currency

Add to Basket

Shipping: US$ 7.93
From United Kingdom to U.S.A.
Destination, Rates & Speeds

3.

Bateman, Harry
Published by Forgotten Books (2010)
ISBN 10: 1440089132 ISBN 13: 9781440089138
New Paperback Quantity Available: 1
Seller:
Murray Media
(North Miami Beach, FL, U.S.A.)
Rating
[?]

Book Description Forgotten Books, 2010. Paperback. Book Condition: New. Never used!. Bookseller Inventory # P111440089132

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 43.07
Convert Currency

Add to Basket

Shipping: US$ 1.99
Within U.S.A.
Destination, Rates & Speeds