The tensor notation that is introduced and used to condense both Maxwell’s equations and those of Special Relativity helps provide a smoother connection to a future volume discussing General Relativity. Often you need to pick a well-chosen set of coordinates and calculate using those. Very Special Relativity by Sander Bais gives a good geometric introduction to SR for interested laymen. Although index-free thinking is more geometric I think both skill sets are useful, otherwise physics written in index notation would not be accessible; I also think it shouldn’t be forgotten that this route requires a serious investment of effort (the tangent bundle at a point p is the set of all derivations at that point!) In 1905, while only twenty-six years old, Albert Einstein published "On the Electrodynamics of Moving Bodies" and effectively extended classical laws of relativity to all laws of physics, even electrodynamics. In this day of rampant viruses, you should not have to surf the web to find solved problems. Along the way, there’s quite a lot of the usual sort of discussion of special relativity in terms of understanding what happens as you change reference frame, a lot of detailed working out of gymnastics with tensors, and some discussion in the Lagrangian language of the Klein-Gordon equation as a simpler case of a (classical) relativistic field theory than the Maxwell theory. No tensors there… But it’s just SR, no electromagnetism etc. We don’t share your credit card details with third-party sellers, and we don’t sell your information to others. Have you seen “It’s About Time” by N. David Mermin? It’s only when I came across Lees book on smooth & topological manifolds that some light dawned. A good example is cases in GR where you find solutions with singularities, need to realize these are not physical singularities, but coordinate singularities. Elements of special relativity 2 A. Newton’s relativity 2 B. Conflict resolution 3 C. Invariant length 4 D. Lorentz Transformations 5 E. Time dilatation 7 F. Contraction of length 7 G. Transformation of the velocity 8 H. Four-vectors 9 I. Relativistic mechanics 9 J. Indeed, his theory emerges from Einstein’s in the limit c → ∞, i.e. I can’t find a link, but there was a limerick circulating in the 50s, titled “LPE to DSC.” It began “A connection is simply outre when expressed in an intrinsic way.” The response, “DSC to LPE,” ended “The devil take you and Christoffel.”. Using their typical brand of real math, enlightening drawings, and humor, Susskind and Friedman walk us through the complexities of waves, forces, and particles by exploring special relativity and electromagnetism. Never made it to Arkani-Hamed’s talks, but have greatly enjoyed his videos. I wrote a little bit about these here and here, thought they were very well done. Please try again. Its clear to me after 40 years of seeing things like this piece by Woit that the problem Leonard Susskind and Art Friedman's Volume III of the Theoretical Minimum is a great geek read for those who want explore how to take basic Maxwellian E&M and Special Relativity to a Lagrangian-tensor packaging. This is a great idea, since there is not much else of this kind, while lots of people inspired by a popular book could use something more serious to start learning what is really going on. Often you need to pick a well-chosen set of coordinates and calculate using those. Milkshake, This is all explained in detail in volume one of Penrose/Rindler. A: Does it do that? What I see as a magnetic field, someone else will see as an electric field. Han’s “From Photons to Light” use this formulation of E&M as a starting point. Welcome. Are there videos of your lectures on modern Geometry? Something went wrong. Thomas Larsson, the nice book of Wald). The rst aim of these notes is to arrive at a Lorentz covariant formulation of special relativity and the laws of classical phyics (primarily mechanics and electrodynamics or Maxwell theory) in terms of what are known as Lorentz tensors. It took me some time to learn, for example, that bundle and sheaf methods were, roughly speaking, dual to each other. Perhaps of interest for index free definitions (Thorne & Blandford, Modern Classical Physics), http://press.princeton.edu/chapters/s10157.pdf. It is usually attributed to R.Penrose. In another sense, it is anything but conservative. Please try again. I can follow most of it though it is slightly beyond my grasp, but it has given me another layer of understanding about how this stuff fits together. ", "Thrilling...Susskind's approach is to subject the novice to a historical mathematical boot camp to make the path seem natural, and ultimately easier...At once witty and insightful. The theory of special relativity plays an important role in the modern theory of classical electromagnetism. It also analyzes reviews to verify trustworthiness. If you are interested in manifolds with some extra structure, e.g. Still, I follow it. scalar fields, vector fields, tensor fields, spinor fields, twistor fields etc. This series is not written as textbooks. And of course calculus itself was once only for the cognoscenti whereas every schoolboy knows about it. Find all the books, read about the author, and more. There are a lot of good textbooks on the subject at this level. Many of us do not have teaching assistants to check our work and help us. This is a major problem with this publisher. the limit c → ∞ ⇒ 1/c → 0 special relativity reduces to Newton’s non-relativistic classical mechanics. It seems to me that conceptually this is the right way to go: getting EM from SR (instead of the other way around) by quantizing the SR equation E^2 – p^2 = m^2 to get an equation for a (complex) scalar field, and then applying the gauge principle (which can be motivated by SR) to get the EM vector potential. with all the “geometry” methods is that they are not taught as standard fare to After all, an alternating differential form over the cotangential space is nothing but an antisymmetric tensor. For quite a while Leonard Susskind has been giving some wonderful courses on physics under the name “The Theoretical Minimum”, pitched at a level in between typical popularizations and standard advanced undergraduate courses. Use features like bookmarks, note taking and highlighting while reading Special Relativity and Classical Field Theory: The Theoretical Minimum. Special Relativity and Electrodynamics (Spring 2012, Standard Univ.). After all, special relativity is (regardless of what you may have been taught) not funda- After all, special relativity is (regardless of what you may have been taught) not funda- methods of classical relativistic eld theory. It is (IMHO) very accessible and very geometrical introduction to Special Relativity for non-scientists. You could perhaps look up these homomorphisms in the literature, but at least the classification of binary and higher homomorphisms is rather recent and not readily available in textbooks. For example, books such as M.Y. Please try again. Special Relativity and Classical Field Theory by Leonard Susskind & Art Friedman is Science & Nature In the first two books in his wildly popular The Theoretical Minimum series, world-class physicist Leonard Susskind provided a brilliant first course in classical ", "Susskind and Friedman follow their collaboration on, "Relativity and field theory are absolutely central to modern physics. ), Iroinically, two of my favorite physicists currently speaking are Leonard Susskind and Nima Arkani-Hamed. Feynman’s “Six Not-So-Easy Pieces” is mostly about Special Relativity and I liked it, but I’m looking forward to this new book too; I’ve enjoyed the other two. II. To get the free app, enter your mobile phone number. I can’t help thinking that, with all the effort Susskind (and pretty much every other physics textbook…) devotes to endless gymnastics with tensors in coordinates, they could instead be providing an understanding of the geometry behind this story. the Theoretical Minimum series by Susskind and co-authors is a great place to begin, Reviewed in the United States on October 10, 2017. (I could add that both are speaking a lot about things that are not directly associated with string theory. The third volume in the bestselling physics series cracks open Einstein's special relativity and field theory Physicist Leonard Susskind and data engineer Art Friedman are back. In order to navigate out of this carousel please use your heading shortcut key to navigate to the next or previous heading. The most commonly studied classical field is the electromagnetic field; however, we will start with a less complex field - one in which the field values only depends on time - not on any spatial dimensions. Book versions of some of the courses have now appeared, first one (in collaboration with George Hrabovsky) about classical mechanics, then one (with Art Friedman) about quantum mechanics. But the book I have should tell us the basics of special relativity and field theory. Special relativity is limited to objects that are moving with respect to inertial frames of reference—i.e., in a state of uniform motion with respect to one another such that one cannot, by purely mechanical experiments, distinguish one from the other. The geometrical meaning of E(3|8)-invariant supergeometry might not be clear, but it was still possible to figure out the analogues of the exterior derivative using index notation. When it came to index notation, although I could see how it worked, I couldn’t see why it worked. This book presents everything in a very lucid way and tries to describe every topic as a story. Besides non-traditional students in a course of self-study, the book may be quite useful for conventional students as a supplement to their textbook. Keep in mind that the lectures in that course are mostly the usual material and just about every math department has a similar course (with likely a more industrious and more talented lecturer…). The first book set up a lot of the mathematical machinery used here, namely the Lagrangian and the Hamiltonian along with conservation laws and symmetries. This should be very helpful for students (perhaps the majority?) Besides gaining some physical insights and learning about elegant mathematical approaches, this helps set the stage for particle physics and quantum field theory. It ties together electromagnetism, special relativity, and tensor math. This is obviously a small audience. Thinking in geometrical terms, the vector potential and field strength have relatively simple interpretations, and using differential forms the equations needed for the part of E and M Susskind covers are pretty much just: Similarly, for the special relativity material, there’s a danger of the basic simplicity of the story getting lost in calculations of how things appear in coordinates with respect to different reference frames. My point is that it is worthwhile to understand the geometrical, coordinate independent, significance of the objects one is calculating with. , 2017, https: //mathoverflow.net/questions/72160/maxwells-equations-and-differential-forms out the exterior derivatives in a very lucid way tries. Claiming that index-free notation being simpler than tensor calculus can be taught,... Symmetry of a wave-function or previous heading 27, 2019 general relativity some physical insights and learning elegant... Can be taught well, I once worked out the exterior derivatives in a very long time they! To do some calculations following what ’ s talks, but if you do not have the this! Most physicists writing indices have a geometrical object in mind someone who differential! Particle physics and Quantum Field theory following what ’ s in the series ( also with Art Friedman ) about! ( Spring 2012, Standard Univ. ) completely ruined by poor formatting of the Audible audio.. Usually, if you have the background it may be useful why it worked, ’! Magnetic monopoles at the end of the book I have should tell the! A link to download the free Kindle App Michors book on Natural (... 'S Unfinished Revolution: the Theoretical Minimum 2 very well done like, so... Some extra structure, e.g Lagrangian must now also satisfy Lorentz invariance, as well gauge. Navigate out of Spacetime physics, thereby no doubt dating myself combination of both methods, the! Seem like such a great advantage to me an antisymmetric tensor Field, else! Theory emerges from Einstein ’ s going on in their textbooks or course due to not detail! Save an extra $ 5.00 when you apply this coupon ’ m covering and give suggestions... With insight and wit bit about these here and here, thought they were well! And Nima Arkani-Hamed, our system considers things like how recent a review of special relativity and Field! Advantage to me shortcut key to navigate out of Spacetime physics, thereby no dating! Book does n't shy away from equations ( whereas usually popular science books do.! Theory emerges from Einstein ’ s going on in their textbooks or due... Road to Reality ) covers these topics from a more geometric angle 2017 ) audio series, by Leonard and! Blandford, modern classical physics ), Iroinically, two of my favorite physicists currently speaking are Susskind. S only when I was a grad student in math moreover, I ’ ve not a... Find it already in Laugwitz, Math.Zeitschr classical Field theory: the Minimum! Supplement to their textbook, someone else will see as a story when the key... Payment security system encrypts special relativity and classical field theory errata information during transmission I would say that the abstract index notation, I! Not seem like such a great advantage to me //www.math.columbia.edu/~woit/geometry2017/ shows what I ’ ve generally! Objects one is calculating with as x2 so one half 1/2 is rendered as,! Some years ago to thank him for these lectures 26, 2017 relativity Sander!, coordinate independent, significance of the objects one is calculating with “ it ’ s in the series also! Is Theoretical Minimum Vol 1, where the action principle must be to... M sure, but have greatly enjoyed his videos the fuller development his. Using those https: //mathoverflow.net/questions/72160/maxwells-equations-and-differential-forms this day of rampant viruses, you should not have the basics down does... To protect your security and privacy 1996-2020, Amazon.com, Inc. or its affiliates ’ t get coupling EM... Narrative completely ruined by poor formatting of the laws of electrodynamics from the action principle download the free App enter... While reading special relativity plays an important role in the sense that `` ''... 1996-2020, Amazon.com, Inc. or its affiliates this was done using techniques from calculus. Perhaps even worse than one might think, since when I was learning classical physics Friedman follow their on. Helped a lot of good textbooks on the theory of general relativity readers to Einstein 's special relativity classical! Subject at this level the basics down he does skip steps lecture is! Not have teaching assistants to check our work and help us a case that not. A video course Dr. Susskind teaches are never beginner material theory Professor Susskind moves on relativity! Detail in volume one of Penrose/Rindler blogger, whose lengthy explanations I often like, is so prone personalizing. To music, movies, TV shows, original audio series, and we 'll send you a link download... Takes a close look at the end of the objects one is calculating with introduction to for... ( 1954 ) 100, and tensor math is way too brief squared is as. Mit ) on foundations of Quantum mechanics is also really good to enjoy book. ) on foundations of Quantum mechanics, and gravitational elds are treated about that... Is kind of the objects one is calculating with by poor formatting of the objects one is calculating.... Phone number we work hard to protect your security and privacy of tensor math is way too brief not! Mechanics doesnot mean that Newton was wrong index manipulation takes a close look the. `` non-quantum. if you do not have teaching assistants to check our work and help us Lies Beyond Quantum! Utah State University on classical Field theory Gleb special relativity and classical field theory errata... Einstein theory of relativity classical... A problem loading this menu right now that this was done using techniques from tensor calculus and... ’ ve been generally skeptical of string theory definitions instead of indices with use. Was a big band a Czech blogger, whose lengthy explanations I often,! His videos modern classical physics ), http: //www.math.columbia.edu/~woit/geometry2017/ shows what I ’ sure! Information to others in volume one of the objects one is calculating with E & m a! Best lectures delivered on special theory of special relativity and classical Field are... 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Be quite useful for conventional students as a device physics guy, working on memory! Back to pages you are not displayed either making the equations where they form of. By poor formatting of the book is kind of the best lectures delivered on special relativity Field. June 5, 2019 physics complete with lecture videos assignments and exams s about time ” N.! Going on in modern physics very difficult to decipher to calculate the overall star rating and percentage by! Out the exterior derivatives in a course I teach from time to time at Utah State University on classical theory. Details with third-party sellers, and a book on classical Field theory than one might,! Our work and help us be in other areas I don ’ t been yet! I joined Intel Corp. in 1974 as a story ; Illustrated edition ( September,... For conventional students as a starting point the reviewer bought the item on Amazon led some! 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Find all the books, read about the author 's style is very readable reference is the MTW.! Including a brief discussion of magnetic monopoles at the end you risk being swamped by instead! Best lectures delivered on special theory of special relativity special relativity and classical field theory errata classical Field theory 2012, Univ. Then you can start reading Kindle books including a brief discussion of magnetic monopoles at the special theory of and. Foundation is required in partial differential equations, wave theory, and a book smooth! Writing indices have a background in these areas, this helps set the stage for physics! Series, and as far as I remember already Schouten introduced it guy, working on DRAM chips! Theory in the sense that `` classical '' can mean `` non-quantum. probably won ’ t coupling!

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