A Student's Guide to Maxwell's Equations (Paperback)

~ Daniel Fleisch (Author)
Key Phrases: changing electric flux, circulating magnetic field, law for electric fields, Maxwell's Equations, Ampere Maxwell, James Clerk Maxwell (more...)

Editorial Reviews

Review

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Product Description

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.

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Product Details

• Paperback: 144 pages
• Publisher: Cambridge University Press; 1 edition (January 28, 2008)
• Language: English
• ISBN-10: 0521701473
• ISBN-13: 978-0521701471
• Product Dimensions: 8.9 x 5.9 x 0.3 inches
• Shipping Weight: 3.2 ounces (View shipping rates and policies)
• Average Customer Review: 4.7 out of 5 stars  See all reviews (44 customer reviews)
• Amazon.com Sales Rank: #10,921 in Books (See Bestsellers in Books)

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Customer Reviews

Most Helpful Customer Reviews

97 of 98 people found the following review helpful:

5.0 out of 5 stars See the Forest Through the Trees, March 24, 2008

By	R. Markham "roninsf" (CA) - See all my reviews (REAL NAME)

This is the best overview of Maxwell's equations I have ever come across. I cannot praise it enough for it's brilliant clarity.

If you have taken or are taking an electromagnetism or vector calculus course, you may have run into the classic problem of not being able to see the forest through the trees. These courses can be very dense, and anything that can help give a sense of perspective can be very helpful. Daniel Fleisch's book is just such a tool. It provides a thorough overview of Maxwell's equations with stunning clarity. Each equation is broken down into it's component parts, and the physical significance of each part is thoroughly explained. In this way, not only are the core concepts of Maxwell's equations made clear, but many concepts from vector calculus are also brought out in crystal clarity, (I got much more out of this book than I did the often recommended "Div, Grad, Curl"). It will help you see the "forest through the trees".

Also of note are the problem sets at the end of each chapter. The problems work very well to reinforce the concepts from each chapter. They are not overly difficult or too simplistic. They are geared specifically at reinforcing concepts. The author has also posted on his web site a set of solutions for every problem, and each of the problems is thoroughly worked out with clear explanations. This is a HUGE plus for anyone picking up this book for self-study.

In my mind this book is a perfect compliment to an electromagnetism or a vector calculus class (or as a review after having taken such a class). Although the writing is clear enough that one could probably get a lot even without having had a vector calculus class, ideally one would have had at least some minimal exposure to vector calculus. It's not that you need to be an expert in vector calculus; all the concepts are explained very well in the book and the actual calculus you need for solving the problems is minimal, but in my mind the book will work best for those with some exposure to vector calculus.

My only suggestion to the author would be to include a table summarizing Maxwell's equations, (and perhaps a table of some basic constants). Other than that, this is a perfect book. It is THE standard by which other self-study books ought to be compared.

Update: When I wrote the above review I was half way through chapter 4 (of five chapters). Having completed the book, I do want to point out that the beginning of chapter 5 ('From Maxwell's Equations to the Wave Equation) does include a summary of Maxwell's equations. It would have been nice to have such a table at the front or back of the book for quick reference, but the summary is there, contrary to what I had originally thought. Chapter five also has a nice summary of the del operator and its use in finding the gradient, divergence, and curl. And finally, chapter five provides a very good physical description of the Divergence Theorem and Stokes' Theorem. So all in all, there is really little one can fault in this book. It's the book to get if you want to see the forest through the trees.


[Side note to author (written before the above update, and answered by the author in the comments): I believe the solution to problem 2.3 for surfaces 'A' and 'B' should include a factor of 1/2 since the area is a triangle; I did not see a feedback form on the website, or I would have posted there.]

48 of 51 people found the following review helpful:

5.0 out of 5 stars Epiphany of clarity!, March 2, 2008

By	Richard A. Myers "RickChemist" (Bountiful, UT USA) - See all my reviews (REAL NAME)

Maxwell's equations represent a comprehensive and descriptive condensation of (once believed to be disparate) electromagnetic phenomena, into a gloriously concise set of self-consistent (albeit arcane) mathematical statements. Daniel Fleisch has lucidly crafted explanations both of Maxwell's equations that describe EM phenomena, while simultaneously employing the latter to motivate, justify, and describe the vector calculus of the former with great clarity--the perfect synthesis. The author addresses chapters to each of the four equations in turn: (1) Gauss's law for electric fields, (2) Gauss's law for magnetic fields, (3) Faraday's law, and (4) the Ampere-Maxwell law; describing each first in its integral then differential forms, with brief expansion of the utilities for each form. The final chapter concludes elaborating the true nature of light as part of the greater EM spectrum, culminating in motivation of the wave equation and determination of c, the speed of light. I wish I had a shelf full of similar pithy, fun-reading, and revelatory books on other like topics!

35 of 36 people found the following review helpful:

5.0 out of 5 stars Maxwells Equations Simplified, April 16, 2008

By	John Peek (Indianapolis) - See all my reviews (REAL NAME)

The best book clearly I have read in the last year; it combines simple calculus and EM physics into a readable book. Because I already knew Stokes theory, the divergence theorem and all the other math, I was able to read this book in about a week. You get the solutions to the problems on the website and great podcasts also. I would like to see more from this author on other subjects like quantum physics in this format; the technology is out there to provide podcasts, and maybe even do videos of some experiments to clarify the results.