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AuthorTiersten, Harry F. author
TitleA Development of the Equations of Electromagnetism in Material Continua [electronic resource] / by Harry F. Tiersten
ImprintNew York, NY : Springer US, 1990
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Descript XI, 158 p. online resource


This tract is based on lecture notes for a course in mechanics that has been offered at Rensselaer Polytechnic Institute on and off for the past twenty years. The course is intended to provide graduate students in mechanics with an understanding of electromagnetism and prepare them for studies on the interaction of the electric and magnetic fields with deformable solid continua. As such, it is imperative that the distinction between particle and continuum descriptions of matter be carefully made and that the distinction between that which is inherently linear and that which is intrinsically nonlinear be clearly delineated. Every possible effort has been made on my part to achieve these ends. I wish to acknowledge the contributions of a number of students and faculty who attended the lectures over the years and who, by their questions and suggestions, significantly improved some of the sections. This preface would not be complete if I did not point out that my interest in electromagnetism was initiated and my attitude towards the development of the equations was influenced by lectures given by the late Professor R.D. Mindlin at Columbia University in the late nineteen fifties. I would like to thank Professor C. Truesdell for his helpful suggestions, which I feel significantly improved the clarity and readability of the Introduction, and Dr. M.G. Ancona for his comment concerning the clarity of an important point in Sec. 1.1


1. Introduction -- 1.1 General -- 1.2 Electrostatics -- 1.3 Magnetostatics -- 1.4 Electromagnetics -- I. Electrostatics -- 2. Electric Field Equations in Charged Regions -- 3. Electric Field Equations in Charged and Polarized Regions -- 4. Forces and Torques Exerted by the Electric Field on Charged and Polarized Matter -- 5. Electrostatic Energy -- II. Magnetostatics -- 6. Magnetic Field Equations in Regions Carrying Steady Currents -- 7. Magnetic Field Equations in Magnetized Regions Carrying Steady Current -- 8. Forces and Torques Exerted by the Magnetic Induction Field on Magnetized Matter Carrying Current -- 9. Magnetostatic Energy -- III. Electromagnetics -- 10. The Electromagnetic Field Equations -- 11. Energy and Momentum in the Electromagnetic Field -- 12. The Influence of Motion on the Electromagnetic Field Equations -- 13. The Electromagnetic Potentials -- 14. Linear Circuit Equations from Maxwellโ{128}{153}s Equations -- Footnotes and References -- Author Index

Physics Optics Electrodynamics Magnetism Magnetic materials Physics Optics and Electrodynamics Magnetism Magnetic Materials Mathematical Methods in Physics Numerical and Computational Physics


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