The Classical Theory of Fields: Electromagnetism

ISBN-13: 9783642442384 / Angielski / Miękka / 2014 / 446 str.

Carl S. Helrich

Opis

The study of classical electromagnetic fields is an adventure. The theory is complete mathematically and we are able to present it as an example of classical Newtonian experimental and mathematical philosophy. There is a set of foundational experiments, on which most of the theory is constructed. And then there is the bold theoretical proposal of a field-field interaction from James Clerk Maxwell. This textbook presents the theory of classical fields as a mathematical structure based solidly on laboratory experiments. Here the student is introduced to the beauty of classical field theory as a gem of theoretical physics. To keep the discussion fluid, the history is placed in a beginning chapter and some of the mathematical proofs in the appendices. Chapters on Green's Functions and Laplace's Equation and a discussion of Faraday's Experiment further deepen the understanding. The chapter on Einstein's relativity is an integral necessity to the text. Finally, chapters on particle motion and waves in a dispersive medium complete the picture. High quality diagrams and detailed end-of-chapter questions enhance the learning experience.

Recenzje

"This is a clearly written book covering wide domains of essential phenomena in electromagnetism offering detailed explanations of theoretical derivations and possible practical applications, which makes it a useful literature not only for graduate students but also for professional researchers in the field." (Vladimir Cadez, zbMATH 1334.78003, 2016)

 "This book is a worthy attempt at explaining electromagnetism. It is recommended to students studying classical electrodynamics. A physicist who is a specialist in field theory will enjoy the discussions on subtle points of Maxwell-Lorentz electrodynamics. The book will certainly attract the interest of historians of physics." (Yurij H. Yaremko, Mathematical Reviews, January, 2014)

Spis treści

Origins and Concepts.- Mathematical Background.- Electrostatics.- The Scalar Potential.- Magnetostatics.- Applications of Magnetostatics.- Particle Motion.- Green’s Functions.- Laplace’ Equation.- Time Dependence.- Electromagnetic Waves.- Energy and Momentum.- Special Relativity.- Radiation.- Fields in Matter.- Waves in Dispersive Media.- Appendix.

O autorze

Carl S. Helrich Goshen College, USA