This course examines electric and magnetic quasistatic forms of Maxwell's equations applied to dielectric, conduction, and magnetization boundary value problems. Topics covered include: electromagnetic forces, force densities, and stress tensors, including magnetization and polarization; thermodynamics of electromagnetic fields, equations of motion, and energy conservation; applications to synchronous, induction, and commutator machines; sensors and transducers; microelectromechanical systems; propagation and stability of electromechanical waves; and charge transport phenomena. Acknowledgments The instructor would like to thank Thomas Larsen and Matthew Pegler for transcribing into LaTeX the homework problems, homework solutions, and exam solutions.
R. O'Donnell. (2021)cite arxiv:2105.10386Comment: First edition originally published April 2014, in hardcover book format by Cambridge University Press, and electronically on the author's website. This arXiv version corrects 100+ typos and errors, but is otherwise essentially the same.
A. Slivkins. (2019)cite arxiv:1904.07272Comment: The manuscript is complete, but comments are very welcome! To be published with Foundations and Trends in Machine Learning.
G. Peyré, and M. Cuturi. (2018)cite arxiv:1803.00567Comment: new version with corrected typo in Eq. 4.43 and 4.44 (minus sign in front of f, g now changed to +).