Electromagnetic Fields and Waves

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Courier Corporation, Mar 8, 2012 - Science - 464 pages
Intended for advanced undergraduate and graduate students, this well-known and popular textbook provides an introduction to the physical principles, mathematical apparatus, and typical applications of classical electromagnetic theory. Beginning with the notion of scalar fields, Professor Rojansky leads the student through vectors and vector fields, the laws of Ohm, Joule, Coulomb, and Faraday, static electricity, and continues all the way to Maxwell's equations for bodies at rest, and to examples of electromagnetic waves. A particularly useful feature of the book is the author's introduction and explanation of the necessary mathematics as he goes along, rather than presuming student understanding. Although an extensive background is not necessary, a general knowledge of physics and calculus is a prerequisite.
Throughout the book, the development of each topic is explicit and unhurried, an approach intended to avoid basic misconceptions that lead to major misunderstandings later on. Short exercises help the student test his grasp of the material, and the text is studded with diagrams and illustrations that supplement the content and elucidate many hard-to-visualize concepts. The book ends at a point where the use of Maxwell's equations in several important problems has been illustrated, and students are prepared to proceed to a variety of further topics.
Professor Rojansky brings many years of experience both as a teacher and a scientist (including ten years of advanced research at TRW Space Technologies Laboratories) to this lucid discussion of the fundamentals of electromagnetic fields and waves. His extensive pedagogical background enables him to communicate difficult concepts with great clarity.
 

Contents

Title Page Copyright Page Dedication Preface to the Dover Edition CHAPTER 1 Scalar Fields
Mathematical Notes
xx
Curves and Surfaces
14
Vectors
38
Current and Current Density
66
Vector Fields
87
The Flux Integral
87
Source Density and the Divergence CHAPTER 9 Cylindrical and Spherical Coordinates
94
Charged Conductors and Capacitors
157
Electric Energy Density and Displacement Current
176
Cross Products and Curls
188
Static Magnetic Fields in Nonmagnetic Mediums
238
Magnetomotive Force
159
Faradays Law of Induction
184
Maxwells Equations Wave Equations and the Flow of Energy
394
Radiation from a Short Antenna
94

Conservation of Charge
109
Electric Intensity and the Laws of Coulomb Ohm and Joule
112
Electromotive Force
116
Conservative Electric Fields
135
Coulombs Law in Rationalized Form
160
Integral and Differential Forms of Coulombs
192
Examples of Solutions of Laplaces Equation
265
Plane Electromagnetic Waves
109
Rectangular Waveguides with Perfectly Conducting
194
Magnetic Vector Potential
259
APPENDIX A Mathematical Formulas
264
APPENDIX B The MKSGiorgi Units of Measurement
285
Index
298
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