Classical Electromagnetic Theory 2nd Ed by Jack Vanderlinde (PDF)

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⭐Textbooks on electromagnetism, generally, are poorly written. Courses in electromagnetism, generally, are poorly taught. This textbook, pitched at an intermediate level, is representative of both the good and bad regards those two circumstances. Vanderlinde is neither too voluminous nor too brief. Vanderlinde is neither too sophisticated nor too pedestrian. Vanderlinde serves well as a companion to Jackson: Classical Electrodynamics. Jackson (1975, second edition) summarizes formulas and vector identities on the inside front cover, Vanderlinde does same (as does Zangwill, among others). I do not prefer that pedagogically, as I advocate for deriving each vector identity anew before starting the course. Vanderlinde presents the binomial expansion formula on the inside of his back-cover: let me say this, if the binomial expansion is not part of your mindset by the time you open the first page of this book, you are in trouble ! Binomial expansion should be job one, semester one, of year one !(1) Vanderlinde utilizes tensor methods in deriving vector identities (preface). Those tensor methods are presented in an appendix. Read: “I recommend this appendix for self-study” (25 page exposition). Another footnote is a detailed reminder of the utility of this “tensor approach” (page 276). Tensor methods, too, on page 206. Note: vectors displayed have an arrow placed above its symbol and that is good pedagogy ! Compare Vanderlinde to the recent text “Classical Electromagnetism in a Nutshell” (Garg, chapter two).(2) There are twelve chapters, each concludes with a set of exercises (15 to 20 exercises for each chapter). There are hints for the solution of many exercises (few answers). One example, with hint for its solution: “A hollow conducting sphere encloses a uniform line-charge along the z-axis. Use Green’s functions to find the potential interior to the sphere” (page 154). Exercises are straightforward and not too difficult.(3) Rationalized SI units are utilized: “having the advantage of yielding the familiar electrical units used in everyday life.” (preface). I prefer Gaussian units (read Melvin Schwartz regarding the reason for that).(4) Read: “again, shying away from action-at-a-distance , we invent a magnetic field B, produced by a current with which another current interacts.” (page 14). That is good, even though he glosses over the standard association of vdq with Idl (for such elaboration, read the second edition of Jackson, page 170).(5) There are plenty of detailed, worked-out, examples (reminiscent of Nayfeh and Brussel). For instance, the worked example for the Maxwell stress-tensor of two point charges is clear (page 84). A brief section on magnetic monopoles is useful (pages 86-89). J.D. Jackson is informative in that regard, too (pages 254-260). Read what Schwinger has to say on magnetic monopoles, also.(6) There are eight “starred” sections: one of those pertains to Lienard-Wiechert potentials utilizing Green’s functions (page 285). That section segues to detailed calculations, as Vanderlinde is meant to be a pedestrian approach ancillary to the covariant approach found in Jackson (page 654). Study both books.(7) Chapter four, static potential in vacuum (solutions of Laplace equation) is as lucid as what you will find in Griffiths. Vanderlinde gives a brief taste of conformal mapping (pages 106-111). Find more conformal mapping in Panofsky and Phillips (second edition, chapter four). I highlight section #8.1.3: there compute blackbody radiation pressure by way of stress-tensor (pages 207-208).(8) The final trilogy of chapters (ten, eleven and twelve) are lucid and explicit. Presenting introduction to radiation, then covariant formalism, then radiation reaction. A nice trilogy. Analogy is invoked.(9) Image charge: Vanderlinde’s calculation (pages 138-140) will assist in J. David Jackson (page 55).The explicit calculation of electric dipole radiation is representative of the entire exposition (page 268).(10) Concluding: Symmetry and superposition are utilized often (prominent in all such endeavors).There is much of value in the exposition: few intermediate steps absent. Vanderlinde fills in details that are missing from other textbooks. Delta function is utilized in calculations. Vanderlinde has presented a terse, calculational, concrete exposition. This is a useful textbook to assist in your perusal of J. D. Jackson.

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