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The Classical Theory of Fields Carl S. Helrich

The Classical Theory of Fields By Carl S. Helrich

The Classical Theory of Fields by Carl S. Helrich


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Summary

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.

This textbook presents the theory of classical fields as a mathematical structure based solidly on laboratory experiments.

The Classical Theory of Fields Summary

The Classical Theory of Fields: Electromagnetism by Carl S. Helrich

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.

The Classical Theory of Fields Reviews

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)

About Carl S. Helrich

Carl S. Helrich Goshen College, USA

Table of Contents

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.

Additional information

NLS9783642442384
9783642442384
3642442382
The Classical Theory of Fields: Electromagnetism by Carl S. Helrich
New
Paperback
Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
2014-02-22
446
N/A
Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
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