A direct, stimulating approach to electromagnetic theory, this text employs matrices and matrix methods for the simple development of broad theorems. The author uses vector representation throughout the book, with numerous applications of Poisson’s equation and the Laplace equation (the latter occurring in both electronics and magnetic media). Contents include the electrostatics of point charges, distributions of charge, conductors and dielectrics, currents and circuits, and the Lorentz force and the magnetic field. Additional topics comprise the magnetic field of steady currents, induced electric fields, magnetic media, the Maxwell equations, radiation, and time-varying current circuits. Geared toward advanced undergraduate and first-year graduate students, this text features a large selection of problems. It also contains useful appendixes on vector analysis, matrices, elliptic functions, partial differential equations, Fourier series, and conformal transformations. 228 illustrations by the author. Appendixes. Problems. Index.
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Yes, you can access Introduction to Electromagnetic Theory by George E. Owen in PDF and/or ePUB format, as well as other popular books in Physical Sciences & Physics. We have over one million books available in our catalogue for you to explore.
In many standard texts on advanced calculus or vector analysis one can find a thorough treatment of vector analysis. It serves our purpose here merely to mention some important aspects of this subject. To make our review the more useful we will survey this material in terms of generalized coordinates.
The geometric vector is a mathematical quantity having both direction and magnitude. Vectors of equal length having the same direction are said to be equal. If two vectors have equal length but have opposite sense (or direction) one is called the negative of the other. A scalar m times a vector produces a vector m times as long, in the same direction if m is positive or in the opposite direction if m is negative.
A vector is defined at a point in space. Therefore six numbers are actually required to specify it: three numbers to specify the point and three numbers to specify the components of the vector at the point.
Vectors can be combined by addition or by multiplication. To be combined, two vectors must be defined at the same point in space. It does not make sense to attempt the combination of two vectors defined at different points. We shall observe later that this constraint is quite important when handling vector combinations in curvilinear coordinates.
Addition obeys the Commutative Law,
A + B = B + A.
Addition obeys the Associative Law,
(A + B) + C = A + (B+C).
Addition obeys the Distributive Law,
m(A + B) = mA + mB.
There are two products defined, the dot or scalar product and the cross or vector product. The dot product of two vectors A and B is defined as
where
is the cosine of the smallest angle between A and B. This product is a scalar quantity.
The vector product of two vectors A and B is a vector quantity, and it is written
