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Classical Electromagnetism in a Nutshell, by Anupam Garg

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This graduate-level physics textbook provides a comprehensive treatment of the basic principles and phenomena of classical electromagnetism. While many electromagnetism texts use the subject to teach mathematical methods of physics, here the emphasis is on the physical ideas themselves. Anupam Garg distinguishes between electromagnetism in vacuum and that in material media, stressing that the core physical questions are different for each. In vacuum, the focus is on the fundamental content of electromagnetic laws, symmetries, conservation laws, and the implications for phenomena such as radiation and light. In material media, the focus is on understanding the response of the media to imposed fields, the attendant constitutive relations, and the phenomena encountered in different types of media such as dielectrics, ferromagnets, and conductors. The text includes applications to many topical subjects, such as magnetic levitation, plasmas, laser beams, and synchrotrons.
Classical Electromagnetism in a Nutshell is ideal for a yearlong graduate course and features more than 300 problems, with solutions to many of the advanced ones. Key formulas are given in both SI and Gaussian units; the book includes a discussion of how to convert between them, making it accessible to adherents of both systems.
- Offers a complete treatment of classical electromagnetism
- Emphasizes physical ideas
- Separates the treatment of electromagnetism in vacuum and material media
- Presents key formulas in both SI and Gaussian units
- Covers applications to other areas of physics
- Includes more than 300 problems
- Sales Rank: #897515 in eBooks
- Published on: 2012-04-08
- Released on: 2012-04-08
- Format: Kindle eBook
Review
"This is a very comprehensive book on classical electromagnetism covering historical introductions, detailed theoretical derivations with additional mathematical clarifications whenever necessary, practical applications, and numerous exercises and examples for teachers and students in this subject. It can certainly be a useful text-book for students as well as a good reference book for professionals in various fields of electromagnetism."--Vladimir Cadez, Zentralblatt MATH
From the Back Cover
"This text provides a fresh, modern look at electrodynamics. It is comprehensive, chock full of interesting insights and anecdotes, and written with a clear enthusiasm."--Kenneth A. Intriligator, University of California, San Diego
"Garg displays considerable wisdom and courage in writing a long-overdue, modern treatment of electromagnetism. I wish I had this book when I was a student. It contains delightful morsels of deep insight (the introduction taught me that fields are as real as a rhinoceros, or as I might extend it, 'quantum fields are as real as quantum rhinos') and interesting topics that are rarely, if ever, treated in other texts."--A. Zee, author of Quantum Field Theory in a Nutshell
"Garg demonstrates that while the mathematical beauty of his subject is deserving of the attention it gets, the physical implications are even more seductive. This book is a treasure trove of thoughtful and incisive nuggets. I expect to see it on the shelves of many students and professors the world over."--R. Shankar, Yale University
"An outstanding text. It offers delightful insights into the physics of electromagnetism rather than treating this subject as an excuse for laborious exercises in mathematical methods. It has the best treatment of electromagnetism in material media that I know. Remarkably lucid and enjoyable, and a worthy competitor to Jackson's classic text."--Jainendra Jain, Pennsylvania State University
"Classical Electromagnetism in a Nutshell is an interesting and elegant book, and an excellent text for a graduate-level course on the subject. Garg has a lively, modern writing style that will engage today's graduate students."--John D. Stack, University of Illinois, Urbana-Champaign
"Garg's textbook is truly excellent. It goes the extra mile to provide physical insight in ways that will enhance students' understanding, and includes rarely seen topics as well. I want to compliment the author on the obvious care and expertise with which he assembled this text. If I were to teach a yearlong graduate-level electromagnetism course, I would use this book."--John W. Belcher, Massachusetts Institute of Technology
About the Author
Anupam Garg is professor of physics and astronomy at Northwestern University.
Most helpful customer reviews
13 of 14 people found the following review helpful.
A good book
By David Housley
The aproach to what can be a daunting subject is quite effective. The author is good at filling in the gaps where many texts in this area fail. It, however, has a few weaknesses like all books. It cannot compete with the readability and clarity of Griffith's undergraduate text and it lacks the depth of Jackson's book but is a good midpoint between these two references.
5 of 5 people found the following review helpful.
Wonderful E&M Book
By Martin F. Melhus
I am not aware of any nut on this earth whose shell could contain this volume. That, however, is my only negative criticism of the book. The material is presented as well as I've ever seen it, clearly, concisely, and logically, in both CGS and MKS units (often texts at this level pick one; here you not only get both, but gain fluency in conversion). This book has helped deepen my understanding of the material greatly. In terms of knowledge gained vs. effort expended to gain it, this is the best E&M book I've ever used, on a par with Landau's "Mechanics". I can't recommend this strongly enough, and if I ever teach a graduate E&M course, this will be the text.
2 of 2 people found the following review helpful.
Exemplary Electromagnetic Exegesis
By G. A. Schoenagel
Two excellent books recently appeared on the textbook horizon: This book (2012) and the text of Zangwill (2013).
I acquired both. I like them both. However, I like this textbook just a bit more. A few reasons for my preference:
(1). This text displays major equations in both Gaussian and SI Units.( Zangwill preference to SI; my preference
for CGS if only due that the Electric and Magnetic Fields are ultimately inseparable entities--see Preface, Schwartz,1972.).
(2). This text does not utilize an "i" in the metric of Special Relativity. (Zangwill retains the use of "i"; Being, as am I,
a student of Taylor and Wheeler's Spacetime Physics, I've never warmed up to the use of "i" when discussing Relativity,
on a deeper level consult Representations of the Rotation and Lorentz Groups by Gel'fand, Minlos and Shapiro).
So much for the cursory comparison. I've spent more time with this text than Zangwill's, therefore I turn to Garg's exposition.
Chapter One, a brief Survey, is followed by a thirty page review of the mathematical skills necessary for perusal of this textbook.
Section Eight--of Chapter Two--is a delightful,brief account of Stoke's and Gauss' Theorems. Exercises occur within sections,
an excellent pedagogic strategy. The Next Chapter, Electrostatics in Vacuum, has a nice problem of electrostatics in crystals
(Compare: Section 8.3 in Feynman,Volume Two) and a nice discussion (page 65) of Electric Field Divergence and Curl as a
substantiation of Coulomb's Law (previously discussed). Magnetostatics follows. Again, Magnetic Field Divergence and Curl plus
Symmetry considerations flesh out the discussion of static/steady currents, along with Divergence and Curl of Point Dipoles.
Page 93: "If accelerating charges produce radiation, how can the magnetic field be constant in time?" Discussion then ensues.
Page 128, The Table of Maxwell Equations, and this, "...it would be a delusion to think that we can ever do anything but guess the
Laws of Physics..." followed by a nice exercise (131) in Field decomposition into transverse and longitudinal parts.
Fifth Chapter, we read, "....only changes in Energy are meaningfully considered..." , a remark subsequently elaborated upon.
Symmetries and Conservation Laws, next : Poynting and Angular Momentum considerations plus some Relativity (Page 149).
Electromagnetic Waves, Polarization, Lasers, all are treated in exemplary fashion; we read: "...the oft-heard statement that the
Photon is a spin-one particle means no more and no less than that the EM Field must be represented in terms of a Potential
that is a tensor of rank one..."(Page 175). Coverage in the following Chapter extends to Interference phenomena, which gets one
to the exceptional Ninth Chapter wherein Green's Functions are introduced and utilized. Also, Section 57, Equation Ten (Page 212)
should be compared with the physical discussion as expounded upon in Feynman's Volume One, Chapter 28). Delightful !
These Chapters (Nine,Ten, Eleven) encapsulate Time-Dependence and make for a marvelous trilogy. Action Principles, next; this
material, while satisfying, can be expanded by perusal of Schwinger's Electrodynamics Text. One should also read Feynman's
Special Lecture Chapter 19, Principle of Least Action, in his Volume Two as a preliminary. All pieces then come together as one !
Four Chapters (13,14,15 & 16) give complete expositions of the difficult topic of the (Static) Fields in and around material bodies.
This exposition is as captivating as that which is found in Eyges' book (Classical Electromagnetic Field). Compare and contrast !
Other Chapters take us to time-dependence (18,19,20 &21). These eight chapters are quite challenging and require careful rumination.
The following (22) on Scattering, is fairly brief, but entertaining (especially Section 148, scattering by small particles).
Following which is Special Relativity( reiterating: no imaginary-time coordinate) and a beautiful section (158) on accelerated motion.
Electromagnetism coupled with Special Relativity is treated, next, in an excellent Chapter 24. (Compare page 570 to Misner, Thorne,
and Wheeler's pages 63-64 !) with the text ending on a discussion of radiation from relativistic sources (Compare with Schwinger).
Excellent exercises (some with hints and solutions), a bibliography for further reading and useful appendices (special functions) all
conspire to provide a rich source of inspiration. The author writes with clarity and profundity. Much else awaits the prospective student.
This is an excellent, advanced, textbook.
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