Problems in Electrodynamics, Second Edition

This book presents in a concise and accessible way, as well as in a common setting, various tools and methods arising from spectral theory, ergodic theory and stochastic processes theory, which form the basis of and contribute interactively a great deal to the current research on almost-everywhere convergence problems. Researchers working in dynamical systems and at the crossroads of spectral theory, ergodic theory and stochastic processes will find the tools, methods, and results presented in this book of great interest. It is written in a style accessible to graduate students Front Cover......Page 1 Front Inside Cover......Page 2 Back Cover......Page 3 Preface to the first Russian edition......Page 9 Contents......Page 11 Problems......Page 13 1. Vector and tensor calculus......Page 15 2. Electrostatics in vacuo......Page 30 3. Electrostatics of conductors and dielectrics......Page 42 4. Steady currents......Page 62 5. Magnetostatics......Page 68 6. Electrical and magnetic properties of matter......Page 80 7. Quasi-stationary electromagnetic fields......Page 95 8. Propagation of electromagnetic waves......Page 105 9. Electromagnetic oscillations in finite bodies......Page 136 10. Special theory of relativity......Page 145 11. Relativistic mechanics......Page 163 12. Emission of electromagnetic waves......Page 184 13. The radiation emitted during the interaction of charged particles with matter......Page 206 14. Plasma physics......Page 211 Solutions......Page 223 1.......Page 225 2.......Page 235 3.......Page 249 4.......Page 282 5.......Page 289 6.......Page 308 7.......Page 330 8.......Page 355 9.......Page 407 10.......Page 431 11.......Page 455 12.......Page 494 13.......Page 536 14.......Page 552 Appendices......Page 569 Appendix 1. The delta-function......Page 571 Appendix 2. Spherical Legendre functions......Page 575 Appendix 3. Cylindrical functions......Page 578 References......Page 581 Index......Page 583 V.v. Batygin, I.n. Toptygin ; [translated By S. Chomet]. Translation Of Sbornik Zadach Po Elektrodinamike. Includes Bibliographical References (p. [569]-570) And Index.