A Student's Guide to Maxwell's Equations / Edition 1by Daniel Fleisch
Pub. Date: 01/28/2008
Publisher: Cambridge University Press
Gauss's law for electric fields, Gauss's law for magnetic fields, Faraday's law, and the Ampere-Maxwell law are four of the most influential equations in science. In this guide for students, each equation is the subject of an entire chapter, with detailed, plain-language explanations of the physical meaning of each symbol in the equation, for both the integral and… See more details below
Gauss's law for electric fields, Gauss's law for magnetic fields, Faraday's law, and the Ampere-Maxwell law are four of the most influential equations in science. In this guide for students, each equation is the subject of an entire chapter, with detailed, plain-language explanations of the physical meaning of each symbol in the equation, for both the integral and differential forms. The final chapter shows how Maxwell’s equations may be combined to produce the wave equation, the basis for the electromagnetic theory of light. This book is a wonderful resource for undergraduate and graduate courses in electromagnetism and electromagnetics. A website hosted by the author at www.cambridge.org/9780521701471 contains interactive solutions to every problem in the text as well as audio podcasts to walk students through each chapter.
- Cambridge University Press
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- Edition description:
- New Edition
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- Product dimensions:
- 6.08(w) x 8.90(h) x 0.27(d)
Table of ContentsPreface; 1. Gauss's law for electric fields; 2. Gauss's law for magnetic fields; 3. Faraday's law; 4. The Ampere–Maxwell law; 5. From Maxwell's equations to the wave equation; Appendix; Further reading; Index.
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This book is an excellent review of Maxwell's equations. It lays out each one in a different section, subdivided into sections for the differential and integral forms, included a section on how to get from the integral to the differential. At the end, it explains how to derive the wave equation. Each equation is given in an expanded view, and EVERY part is fully explained. So it serves not only to teach about Maxwell's equations, but also gives a great review of the different operators (del, grad, curl, etc). I used the book to help with Maxwell's equations in my Waves class (physics major), and also to review the operators and Stokes' Thm and the Divergence Thm for my Math class. There are numerous diagrams and worked examples. The book is quite small, but wonderfully efficient in how everything is laid out. It's more understandable, and explained more succinctly, than many textbooks I've used.
Most E&M textbooks just present these equations briefly and expect you to intuitively understand and use them. This one is devoted entirely to those two goals. Each term in the equations is described in both the integral and differential forms, to give you an understanding of what the whole equation MEANS. There are many diagrams and illustrations. Then practice problems are presented, with step-by-step solutions available, to help you learn how to USE each form of the equations. The author even provides an audio podcast with highlights and an overview of every chapter! Really, I've never seen such a practical guide. Would be a great crash course for those new to Maxwell's eqs, or a refresher for those who learned them the old school 'opaque' way, or a clear review for a comprehensive exam, or *definitely* a perfect guide and/or companion text for current E&M students, no matter which textbook you're using.