Electrodynamics for the Precision Era: A Modern Course in Classical Electromagnetism - Maxwell's Equations, Radiation, and Computational Methods with
Electrodynamics for the Precision Era is a graduate-level guide to classical electromagnetism designed for students who want complete derivations, worked examples, solved problems, and computational practice in one volume.
The book develops classical electrodynamics from the mathematical foundations through advanced applications. Topics begin with vector and index notation, Green's functions, electrostatics, and magnetostatics, then progress through Maxwell's equations, electromagnetic waves, radiation, relativistic electrodynamics, and computational electromagnetics.
Each major derivation is developed in full, with intermediate algebra and reasoning included. This makes the text suitable for graduate students, advanced undergraduates, independent learners, and engineers who want a detailed reference rather than a compressed presentation.
Throughout the book, analytical theory is reinforced with runnable Python examples using NumPy, SciPy, and Matplotlib. These computational sections verify theoretical results numerically and lead to the construction of a finite-difference time-domain electromagnetic solver from first principles.
The book includes:
- Electrostatics, boundary-value problems, Green's functions, and multipole expansions
- Magnetostatics, magnetic materials, vector potentials, and boundary conditions
- Maxwell's equations developed as a complete field theory
- Conservation laws, Poynting's theorem, electromagnetic momentum, and the Maxwell stress tensor
- Electromagnetic waves in vacuum and matter
- Reflection, refraction, dispersion, waveguides, and resonant cavities
- Multipole radiation, antenna theory, scattering, and diffraction
- Special relativity and the covariant electromagnetic field tensor
- Electromagnetic fields produced by moving and accelerated charges
- Numerical electromagnetics and finite-difference time-domain methods
- Python-based computational examples integrated throughout the text
- Applications to precision measurement, including the quantum Hall effect, Josephson voltage standards, atomic clocks, and gravitational-wave interferometry
Across sixteen chapters, the book provides 112 worked examples, 160 fully solved end-of-chapter problems, and 96 original figures. Solutions include complete derivations rather than short answer keys, giving students a reliable way to check both their methods and final results.
SI units are used throughout, with supporting discussion of Gaussian-unit conventions encountered in older electrodynamics literature.
Electrodynamics for the Precision Era is suitable for:
- Graduate students taking classical electrodynamics
- Advanced undergraduate physics students
- Electrical engineering and applied physics students
- Students studying antenna theory and electromagnetic waves
- Independent learners working through advanced electromagnetism
- Researchers and engineers reviewing classical field theory
- Readers learning computational electromagnetics with Python
For readers who want rigorous classical electrodynamics with complete mathematical development, computational verification, and extensive solved problems, this book provides a structured path from fundamental field equations to modern precision-measurement applications.
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