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Field Analysis and Potential Theory

✍ Scribed by Robert Steel Edgar (auth.)


Publisher
Springer-Verlag Berlin Heidelberg
Year
1989
Tongue
English
Leaves
708
Series
Lecture Notes in Engineering 44
Edition
1
Category
Library

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✦ Synopsis


"Electromagnetic theory is a peculiar subject. The peculiarity resides not so much in the stratification - superposed layers of electrostatics. magnetostatics. steady currents and time-varying fields - as in the failure that has attended all attempts to weld these layers into a logical whole. The lowest layer. electrostatics. defines certain concepts. such as E. D, ~, in a way that is generally satisfactory only for the static case. Yet the attempt is made to force these specialised definitions into the higher strata, with ad hoc modifications when necessary. The student, in looking through his text books on electromagnetics, can find general definitions only with difficulty. if at all; and even the most advanced treatises fail to present a rigorously logical development of the subject". 1 So wrote Moon and Spencer some 30 years ago; and their criticism continues to be pertinent today. 2 More recently. a senior physicist of the National Bureau of Standards has expressed his concern in similar terms: "A logically consistent set of definitions of the electromagnetic field quantities is extremely difficult to find in the literature. Most text books either evade the problem or present definitions that are applicable only to special cases".

✦ Table of Contents


Front Matter....Pages i-xii
The Differential and Integral Calculus of Vectors....Pages 1-108
Curvilinear Coordinate Systems....Pages 109-167
Green’s Theorem and Allied Topics....Pages 169-216
Unretarded Potential Theory....Pages 217-394
Retarded Potential Theory....Pages 395-573
Helmholtz’s Formula and Allied Topics....Pages 575-606
Exponential Potential Theory....Pages 607-664
Back Matter....Pages 665-700

✦ Subjects


Elementary Particles, Quantum Field Theory;Appl.Mathematics/Computational Methods of Engineering;Engineering, general;Communications Engineering, Networks


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