A Student’s Guide to Maxwell’s Equations (Student’s Guides) 1st Edition by Daniel Fleisch (PDF)

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.

User’s Reviews

Editorial Reviews: Review ‘Professor Fleisch is a great scientific communicator.”Good examples and problems are given so the student can practice the skills being taught.’ IEEE Microwave Magazine’Its virtue is to address, through judicious selection of material and masterful repetition of important facts, the needs of a student who finds lectures and textbooks hard to understand, too complex, and besides the point of doing the assigned problems. Students who are struggling with the material will love the Guide. The Guide is a well-written, concise, honest tool that delivers just what it promises.’ American Journal of Physics Book Description A guide for undergraduate and graduate courses in electromagnetism and electromagnetics. Book Description Maxwell’s equations are four of the most influential equations in science. In this book, each equation is the subject of an entire chapter, making it a wonderful resource for undergraduate and graduate courses in electromagnetism and electromagnetics. About the Author Daniel Fleisch is Associate Professor in the Department of Physics at Wittenberg University, Ohio. His research interests include radar cross-section measurement, radar system analysis, and ground-penetrating radar. He is a member of the American Physical Society (APS), the American Association of Physics Teachers (AAPT), and the Institute of Electronic and Electrical Engineers (IEEE). Read more

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐Concise, clear, and thorough, this little book illuminates all the meanings and proper interpretation of Maxwell’s equations. It covers all the details as well- from what exactly all the notation is trying to say, to curl, to ‘which path’ is meant in the line integrals in circulation definitions, to subtle points on flux and all the geometry and vector operator math that goes into it. It describes everything in “plain english” and provides you with a final and comprehensive intuitive understanding of the physics behind these equations. I have read dozens and dozens of electromagnetics books, and NONE have ever delivered as well as this book has when it comes to explaining what the heck these equations are really trying to say and showing you all the slight ‘catches’ and pitfalls involved in trying to interpret them. I recommend you buy a copy and keep it alongside your favorite fields and waves texts, at any level.

⭐I teach Math and was looking for a book that presented EM with good physical intuition that I could recommend to my Calc 3 students (to answer the ubiquitous question ‘why are we learning this stuff?’) – this is that book! I’ve read through ‘Div, Grad, Curl and all That’, which presents similar material, but from a more pure math standpoint. This book makes a great counterpart to that one – it focuses more on the physics side of things and shows how vector calc is actually used.

⭐This is a must-have book for your Electric fields and Magnetic fields (E&M) class. You need this book! Get it! Stop reading this, and get it! If you’re still reading this, here’s some more aspects that will make you want this book. If you’ve already gone through an E&M class, but you want better understanding or just a review for whatever reason, get this book! If you’ve never taken an E&M class, but you have taken at least calc 1 and know about vectors, and you want to learn about E&M, get this book! It is BY FAR the best resource for getting started in E&M. It walks you through all of Maxwell’s equations so expertly you’ll have a sound foundation from which to build to even harder problems. I guarantee this book is the best investment you’ll make. It’s like reading an illustrated transcript of a lecture from a professor who makes no mistakes, is exceptionally clear on his explanations, and who will guide you several times through the “boring” stuff to make sure you understand it from the context of each of Maxwell’s equations. It’s a short, small book, too. So, it won’t be heavy to carry or take up too much space. It pulls together all of the relevant topics to understanding each of Maxwell’s equations, fully, that you’d have to thumb through many, many pages of a giant textbook to see. It will open your eyes to the true meaning of each of Maxwell’s equations and how to use them. So, stop thinking about it, and GET THIS BOOK, NOW!!!

⭐This book is a magnificent synopsis of Maxwell’s equations!!!The 4 equations are not derived but simply stated both in words and also written out mathematically. (The assumption is that the student knows vector calculus.) The author then explains what each of the 4 equations is saying and analyzes each item in the equations. After doing this in a simple and direct way, examples are given of their use.As stated in the book there is a website that gives all the answers to the practice problems along with complete solutions showing how the answers are derived.It doesn’t seem right to “complain” about anything in this book but I wish the author had shown gradient, divergence, and curl in all three coordinate systems (cartesian, cylindrical, and spherical) on the inside cover so a person wouldn’t have to page thru the book to find it. Also, the Divergence Theorem and Stokes’ Theorem. One other thing is that I wish the author had given some practice problems at the end of Chapter 5 (the chapter relating Maxwell’s equations to the Wave Equation) and the Appendix (which dealt with Maxwell’s equations in matter).I wish all physics books had an author with the heart of a teacher like Daniel Fleisch.

⭐This series from Cambridge is really good (except the Fourier one), and the books by this author are among the best. Just check him out on youtube, you will get a feel for the talents of this professor. This one book here succeeds in making this difficult subject intuitive and understandable without being a grad/curl/div wiz from the start: he explains it masterfully too. If you need to understand this topic, just read this book and the more advanced ones (like Jackson etc) will become more accessible. By the way, also get his book on vector and tensors in the same series: fantastic pedagogy. TOTALLY RECOMMENDED.

⭐I had been struggling with this stuff for a year at uni and found every book on this subject to be confusing and big. I only realised what maxwells equations actually were when I got this book. people kept talking about them but despite using them i didnt even know which ones were, which ones weren’t etc. I find it amazing that noone has put them down in this way before and im grateful this guy did. The equations themselves are actually explained properly which I found a revelation as all other texts seem to think I understand all the notation without even referencing it. No problems with that here. He also uses the normal unit vector operator which many texts like to hide which in the past caused me a lot of trouble.My only issue is that the answers to the problems are on the internet. This is a bit cheeky as the book is small and they should have just printed them. This is not a cheap book for the size and this is irritating as i like my books to be complete. however I wont knock off a star because this is the only book that serves its purpose. Would recommend

⭐This little book opened doorways for me. As a biochemist I found it a very clear and practical exposition of the mathematics and physical reality that underlies so much of the theory of electricity and magnetism. Teachers might choose to recommend this book to sixth form students and beyond. Non-physics graduates may well find ‘A Students Guide’ invaluable. I would have appreciated it as an undergraduate, the author aims at a wide audience and, I certainly think, achieves this. It might also serve as a useful reference for those who, like myself, are readers of more populist scientific works.The explanations of the mathematics used are very clear and lucidly illustrated.Scientific books offering an understandable and explicit explanation are like gold dust Understanding vector calculus and the physical meaning of concepts like circulation is they key to understanding the mathematical description of so many other physical systems; fluid flow and much more. Reading ‘A Students Guide’ felt like a stroll through the mathematics, not an uphill slog.As one reviewer has pointed out – read this book slowly and let the ideas, nature and consequences of the equations sink in, it’s worth spending some time on this one.

⭐I used this book to complement revision for 2 electromagnetism courses- a basic theory course and an advanced course on radio transmission principles.Ordinary textbooks on electromagnetism face a pedagogic dilemma- too much electrostatics and magnetostatics can be boring and the Maxwell equations do not get enough space; too little and the physical foundations can be skimped on and hence obscured. This book gets around this by concentrating solely on the Maxwell equations and especially on the physical meaning of the integral formulation of the equations. The text also has a really useful list of books for further reading: I would also recommend the MIT electrical science resources website and the Schaum outline book by Edminster; for a maths methods book that has a physical explanation of vector calculus , see ch 7 of Sokolnikoff & Redheffer; plus volume 2 of Feynman’s lectures starts with vector calculus.My only two reservations, really minor, are that: firstly, arrows above letters are used for 3-vectors whereas I was taught that they represent 4-vectors, whereas for a British audience and compatibility with UK texts, bold type for 3-vectors might be more familiar ; secondly, no mention is made of the magnetic vector potential so maybe, when a reprint is done, it could be included in an appendix.However, this book is brilliant.

⭐A complete gem. So often, so-called mathematical “teaching” texts are just mathematicians talking to other mathematicians or geniuses with nothing but pages of terse non-user-friendly proofs and theorems, most of which are impenetrable to many who might otherwise be capable of understanding the subject.This book sets out to get you to understand the subject, not just regurgitate endless proofs. It is a real teacher helping real learners to understand. Every equation is fully explained and even annotated when necessary. Copious well thought out, clear diagrams and worked examples consistently get the messages through and demolish ambiguity.To get the best out of this book, you will need a reasonable (not genuis-level) undestanding of multivariate calculus and vector calculus. I can’t help feeling that this book represents the writing on the wall for the worst of the old-fashioned style of teaching text. I’m not aware of anythng else like it but I’m pretty sure there will soon be many more books like it. The most important proof this book provides is that Maths is not impenetrable but has simply been traditionally made impenetrable by those who can’t or won’t explain. This book shows clearly the difference between explanation and mere definitions and proofs.

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