© 2012

The Classical Theory of Fields


  • Gives a thorough and logical exposition of the theory of electromagnetism, enriched with historical details

  • High quality diagrams and end of chapter questions support fast learning progress

  • Course tested and approved for many years

  • Rich text book features include end-of-chapter questions, problems and solutions, separate complete solutions manual available


Part of the Graduate Texts in Physics book series (GTP)

Table of contents

  1. Front Matter
    Pages i-xiii
  2. Carl S. Helrich
    Pages 1-31
  3. Carl S. Helrich
    Pages 33-78
  4. Carl S. Helrich
    Pages 79-97
  5. Carl S. Helrich
    Pages 99-122
  6. Carl S. Helrich
    Pages 123-148
  7. Carl S. Helrich
    Pages 149-163
  8. Carl S. Helrich
    Pages 165-185
  9. Carl S. Helrich
    Pages 187-203
  10. Carl S. Helrich
    Pages 205-220
  11. Carl S. Helrich
    Pages 221-237
  12. Carl S. Helrich
    Pages 239-260
  13. Carl S. Helrich
    Pages 261-271
  14. Carl S. Helrich
    Pages 273-315
  15. Carl S. Helrich
    Pages 317-333
  16. Carl S. Helrich
    Pages 335-372
  17. Carl S. Helrich
    Pages 373-392
  18. Back Matter
    Pages 393-446

About this book


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.


Einstein Special Relativity Electromagnetic Waves Electromagnetic Waves Dispersive Media Textbook Electrodynamics Textbook Electrostatics Textbook Field Theory Textbook Helrich Textbook Magnetostatics

Authors and affiliations

  1. 1.Goshen CollegeGoshenUSA

About the authors

Carl S. Helrich Goshen College, USA

Bibliographic information

Industry Sectors
Energy, Utilities & Environment


“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 Čadež, 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)