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.
Maxwell’s equations are some of the most important things that you will learn if you are taking physics and/or working on an electrical engineering degree. They basically describe the concepts of electricity and magnetism, which apply to things like the power to our homes to semiconductor chips that are in every single device we own. Unfortunately, a lot of the textbooks (both physics and EM engineering textbooks) give them a bit of short shrift, giving a basic explanation and maybe deriving one or two of them, but do not give a good explanation of why they are useful and, thus, what they represent can be lost on students.
This is a small book (about 130 pages) that covers all four equations, one per chapter. That breaks down what each equation represents, what the variables in the equation mean, and provides both the integral form of the equations and the differential form. I think the best way to use this guide is to supplement your textbook material so that when you get to the point in the textbook where one of the equations is discussed, use this to flesh out the theory behind the equations that your textbook may not cover (or cover in as much detail). To be clear, this is not something like “Maxwell’s Equations for Dummies” or something like that, which assumes you have little to no background going in. You do need to have some understanding of calculus (if you have taken multivariable calculus, that will definitely help because there is a lot of discussion of surface integrals and vectors), and know some of the physics concepts you will learn before getting to the electricity and magnetism topics (which is covered in the second semester of physics). So, if you are taking calculus-based physics and/or have to take an electricity and magnetism class (electric and magnetic fields) as a part of an engineering program, this will be very useful. It is probably overkill for those who just have to take algebra-based physics because it will go way beyond what you will be exposed to in class or expected to learn.
Since my engineering undergraduate years in the mid-1970’s, I have seen many books and textbooks that have attempted to describe Maxwell’s equations: this is the best. This is also true of “A Student’s Guide to Waves” and “A Student’s Guide to the Schrödinger Equation” by the same author, which I also have. The time and effort saved by the engineering or physics student is worth many times the purchase price of these books. I recommend starting with “Waves”, which provides the clearest explanation of vectors, phasors, and the Euler identity that you are likely to come across.
Intriguing and promising, but the website mentioned in the text is a dead link.
If you’re looking for one of the simplest explanations of Maxwell’s equations, I highly recommend this book. The author breaks the material down into the most basic elements for people who may need to brush up on their calculus.
Excellent resource for undergrads about to take or already enrolled into E&M. The book is well thought out and written in a logical fashion. It is not hard to understand and there are no trick problems. They do a great job of explaining the concepts of divergence and curl and this really helps to give you a true sense of the physics that Maxwell’s equations are describing. This would save a student going into E&M a lot of headache.