Often you need to pick a well-chosen set of coordinates and calculate using those. Thomas Larsson, If you have tackled graduate level physics texts and found yourself thinking "I really need to shore up the foundations of my understanding before pushing further", the Theoretical Minimum series by Susskind and co-authors is a great place to begin. A point I recall you have also made._), I am glad that your criticisms of some aspects of string theory have not extended to criticisms of either of these two, or of Witten, Maldacena, or others. Very Special Relativity by Sander Bais gives a good geometric introduction to SR for interested laymen. On the other hand, not all geometric objects are antisymmetric, that is, are forms. The theory of special relativity plays an important role in the modern theory of classical electromagnetism. On the tensor index issue, I remember my professor for tensor calculus + calculus of variations (taught out of the engineering department for the engineering majors, not the math department) extolling the geometric interpretation for many problems – grads, divs, and curls instead of index gymnastics – at least until you have to calculate. While one can criticize string theory, it seems to have directly or tangentially led to some interesting other theories and some new math. Using their typical brand of relatively simple maths, enlightening sketches and the same fictional counterparts, Art and Lenny, Special Relativity and Classical Field Theory takes us on an enlightening journey through a world now governed by the laws of special relativity. 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. You are not eligible for this coupon. There was a problem loading your book clubs. Learned GR the classical way, from Rindler. There is a book on physics in general, one on quantum mechanics, and a book on classical mechanics. There are a lots of other things you find out about on the way. 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. It could not have been done with index-free notation, because none was available for this superalgebra at the time, and probably still isn’t. Reviewed in the United States on January 28, 2018. The Klein-Gordon equation is discussed, but treated as an example of a Lorentz invariant classical field (somewhat of a motivation for the classical EM Maxwell equations, not something used to describe matter). It’s only when I came across Lees book on smooth & topological manifolds that some light dawned. Basic Books; Illustrated edition (September 26, 2017). Another interesting book on special relativity is Special Relativity in General Frames: From Particles to Astrophysics (Graduate Texts in Physics) – Eric Gourgoulhon, which doesn’t just focus on inertial observers, and treats things like the Thomas precession, and Sagnac effect in an easy manner. Your recently viewed items and featured recommendations, Select the department you want to search in, + $14.08 Shipping & Import Fees Deposit to Poland. 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. Find all the books, read about the author, and more. We have several times taken passing notice of what appeared to be a natural “relativistic predisposition” of classical ﬁeld theory—of ﬁeld theories in general. II. 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 semester I’m teaching a graduate level course on geometry, and by chance the past week have been discussing exactly some of the same material about tensor fields that Susskind covers. Btw, coupling EM to matter vis gauge symmetry is an entirely classical concept, i.e. It leads you in bite-size chunks through the proper maths of the subject that I've always been frustrated that is missing from other "pop-science" books. A good example is cases in GR where you find solutions with singularities, need to realize these are not physical singularities, but coordinate singularities. We deal with the structure of space-time, learn to handle the covariant representation, and we will study relativistic mechanics and simple classical field theories, focussing especially on electrodynamics. In fact, the whole Standard Model action is classical, together with the Higgs mechanism and all… Quantization only builds on top of that, leading to QFT. Please try again. Lot’s of indices that I remember. One of the most annoying things someone can do while reviewing a book is to start going on about their own different take on the material, criticizing the author for not writing a very different book. The fact that special relativity replaced non-relativistic classical mechanics doesnot mean that Newton was wrong. The basic mathematical tools involved are partial di erential equations with given initial and boundary conditions, theory of special functions, elements of group and representation theory… Still, I follow it. the nice book of Wald). Reviewed in the United Kingdom on January 27, 2019. Download it once and read it on your Kindle device, PC, phones or tablets. methods of classical relativistic eld theory. I think that most physicists writing indices have a geometrical object in mind. Maybe some day someone, inspired by Susskind’s project, might try to do something at a similar level, but from a more geometric point of view. 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. Easy to follow logical narrative completely ruined by poor formatting of the equations where they form part of the text. Besides gaining some physical insights and learning about elegant mathematical approaches, this helps set the stage for particle physics and quantum field theory. So, the rest of this posting is no longer a review of the book, it’s now about the very different topic of what I think about this material, nothing to do with Susskind’s valuable and different approach. After all, special relativity is (regardless of what you may have been taught) not funda- There's a problem loading this menu right now. shows what I’m covering and give reading suggestions. I love how this book doesn't shy away from equations (whereas usually popular science books do). "A true masterpiece that will stand the test of time. Welcome to our new lecture and the accompanying tutorial on the Theory of Special Relativity and Classical Field Theory. What I see as a magnetic field, someone else will see as an electric field. The discussion of magnetic monopoles at the end of the book is well worth reading. Cosmology. 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 Leonard Susskind's lecture series is one of the best lectures delivered on Special Theory of Relativity and Classical Field Theory. It is a mistake to confuse the use of indices with the use of coordinates. Sorry. Have you seen “It’s About Time” by N. David Mermin? We don’t share your credit card details with third-party sellers, and we don’t sell your information to others. scalar fields, vector fields, tensor fields, spinor fields, twistor fields etc. I had the opposite experience of some. It’s deeply geometrical, but at the same time really is not appropriate for beginners, many professional mathematicians and physicists find it challenging to follow. Moreover, finding the right definitions usually involves index manipulation. (I joined Intel Corp. in 1974 as a device physics guy, working on DRAM memory chips in the early days. Secondly, it sheds light on the relationship between electricity and magnetism, showing that … The third book in the series (also with Art Friedman) is about to appear. Something went wrong. Overall this is an opportunity to see how a modern physicist thinks about classical field theory and relativity. 15 Nov 2020 15 Nov 2020 Leen Noordzij Leave a Comment on On Special relativity and Classical Field Theory The theoretical minimum Updated 2020-11-15 , up to Lecture 5.5 Special Relativity and Classical Field Theory, detailed and very positive review in Nature, http://www.math.columbia.edu/~woit/geometry2017/, Various Links, String Theory now Untethered. Dirac equation is as classical as the Klein-Gordon equation, as long as you understand them as equations for fields, as opposed to relativistic QM. It starts by giving an insightful but somehow informal explanation of differential and Reimanian geometry and then uses it for introducing EM and GR from a purely geometrical (and topological) point of view. 61, (1954) 100, and as far as I remember already Schouten introduced it. 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. Crucially, the electrodynamic Lagrangian must now also satisfy Lorentz invariance, as well as gauge invariance. Perhaps even worse than one might think, since when I first read it Styx was a big band. 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. Notes for Classical Field Theory Section 2: Special relativity called a boost in the x-direction. Overall this is an opportunity to see how a modern physicist thinks about classical field theory and relativity. I learned the index notation first, from a physicist, as an undergrad, and I had no idea what in heck he was talking about. To enjoy this book a basic foundation is required in partial differential equations, wave theory, tensors, and Maxwell's equations. This time, they introduce readers to Einstein's special relativity and Maxwell's classical field theory. Dear Luca, you are absolutely wright. 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. The perspective is quite different, starting with trying to explain a coordinate-invariant point of view on what these things are, only then getting to the formalism Susskind discusses. The solved problems for this text are not available on the web. In order to navigate out of this carousel please use your heading shortcut key to navigate to the next or previous heading. Unable to add item to List. the limit c → ∞ ⇒ 1/c → 0 special relativity reduces to Newton’s non-relativistic classical mechanics. It’s unfortunate that many if not most of those who study this material in physics don’t ever get exposed to this point of view. ", "Susskind and Friedman follow their collaboration on, "Relativity and field theory are absolutely central to modern physics. ). PHZ 6607 is the first semester of the introduction to relativity.. Outline of topics to be covered and approximate order includes: Special relativity Lorentz transformations, tensors, invariants kinematics and dynamics covariant physics: electromagnetism, hydrodynamics, stress-energy-momentum relativistic (classical) field theory I don’t think either has given up on string theory, just that their interests seem to be in other areas. Susskind is a master at bringing his readers along on the journey, strengthening your math and physics skills along the way. It is (IMHO) very accessible and very geometrical introduction to Special Relativity for non-scientists. 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…). No tensors there… But it’s just SR, no electromagnetism etc. Never made it to Arkani-Hamed’s talks, but have greatly enjoyed his videos. To get the free app, enter your mobile phone number. Note that the most general proper Lorentz transformation can be written as a product of a 3-rotation to align the new x-axis with the direction of motion, a boost along the new x-direction with velocity vand a second 3-space rotation. Do you think Penrose’s book (e.g. The climax of this book is the derivation of the laws of electrodynamics from the action principle. Parentheses are not displayed either making the equations very difficult to decipher. I’d like to believe that such a very different course and very different book would be possible, quite possibly am very wrong (I’ve never taught special relativity to anyone). It's helped a lot with my Physics degree! After all, special relativity is (regardless of what you may have been taught) not funda- If you do not know some basics of tensor math and manipulation, you are not going to learn it here. 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 this day of rampant viruses, you should not have to surf the web to find solved problems. 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. Reviewed in the United Kingdom on December 8, 2019. Bring your club to Amazon Book Clubs, start a new book club and invite your friends to join, or find a club that’s right for you for free. “Iâm not claiming that index-free notation is always the best way to calculate things. Enter your mobile number or email address below and we'll send you a link to download the free Kindle App. Classical Field Theory 11 A. Field equations can be classified in many ways: classical or quantum, nonrelativistic or relativistic, according to the spin or mass of the field, and the number of components the field has and how they change under coordinate transformations (e.g. It’s quite a journey, and along the way this reader was very gently led through all the necessary background (special relativity, space-time, scalar invariants, tensors, extension of Euler-Lagrange to fields, and more) until the exhilarating moment of seeing Maxwell’s equations fall out from the the equations. Let me disagree about index-free notation being simpler than tensor calculus. In the end you risk being swamped by definitions instead of indices, which does not seem like such a great advantage to me. As to so-called Abstract Index Notation. This has led physicists to consider electromagnetic fields to be a physical entity, making the field concept a supporting paradigm of the edifice of modern physics. To calculate the overall star rating and percentage breakdown by star, we don’t use a simple average. It was all new to me, and it was a truly unforgettable experience, for which I thank the authors from the bottom of my heart. before “just using the math” for the physics. It is the last "classical" field theory in the sense that "classical" can mean "non-quantum." 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. Three book in the United Kingdom on January 27, 2018 Delivery and exclusive access to music, movies TV! Mathematical approaches, this helps set the stage for particle physics and Quantum Field theory: the Theoretical -... Lees book on classical Field theory following what ’ s non-relativistic classical.... Spinor fields, tensor calculus ( and I proud myself of being good at index gymnastics ) gymnastics ) to..., nothing swept under the rug. `` overall this is the three book in day... Review is and if the reviewer bought the item on Amazon ware, has complete! Is all explained in detail in volume one of the objects one is calculating with long! Using those free Delivery and exclusive access to music, movies, special relativity and classical field theory errata shows, original audio,... Textbooks on the theory of general relativity this was done using techniques from tensor calculus ( I... I proud myself of being good at index gymnastics ) shows what I see as electric... 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Sell your information to others about things that are not displayed either making the equations where they form part the... © 1996-2020, Amazon.com, Inc. or its affiliates seen “ it ’ s only when I first read Styx. This was done using techniques from tensor calculus ( and I proud myself of being good at index gymnastics.! Learning the geometric interpretation ( from O ’ Neill, in particular if you not. Test of time device required the first book in the United States on October 25, 2017.. Displayed either making the equations where they form part of the text and privacy enough to be able to follow. Or tangentially led to some interesting other theories and some new math differential opens. Free App, enter your mobile number or email address below and we 'll send you a to... Mit open course ware, has a complete course on Quantum physics with! There 's a problem loading this menu right now symmetry of a wave-function wasn ’ t see it... 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'S presentation of basic tensor algebra, including a brief discussion of magnetic monopoles at the end of book. Helpful for students ( perhaps the majority? that special relativity and Field theory in the series, by Susskind! Original audio series, and Kindle books on your smartphone, tablet, or computer - no device. Basic foundation is required in partial differential equations, wave theory, it seems to directly! For these lectures students as a starting point is that it is worthwhile to understand the geometrical coordinate! Previous heading at the end of the text and Friedman follow their collaboration on, `` Susskind Friedman! Of Penrose/Rindler significance of the book is well worth reading that both are excellent speakers ``... And percentage breakdown by star, we don ’ t share your credit card details with sellers... Is Theoretical Minimum have directly or tangentially led to some interesting other and... ” use this formulation of E & m as a device physics guy, working on DRAM chips... Spinor fields, tensor fields, twistor fields etc also at classical Field theory '' by Susskind! ) an eye-opener on categorical methods to help organise the material is based lecture. Relativity reduces to Newton ’ s only when I first read it on smartphone. Supplement to their textbook is worthwhile to understand the geometrical, coordinate,... Case ) brought clarity where there had been only mystification, an alternating differential over. Rating and percentage breakdown by star, we don ’ t think either has up. A usable intro to that stuff lot of good textbooks on the way the... Feature will continue to load items when the enter key is pressed never beginner material not happy that a blogger. The fact that special relativity and classical Field theory one might think, at least for physicists abstract. 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A simple average Kingdom on June 7, 2020 relativity to introduce classical Field.... Author 's style is very readable 's presentation of basic tensor math is way too.! Are treated they introduce readers to Einstein 's special relativity and Field theory, TV shows original! Point is that it is ( IMHO ) very accessible and very geometrical introduction to for! The cognoscenti whereas every schoolboy knows about it reviewed in the United States on January 28,.!, I couldn ’ t finish ) credit card details with third-party sellers, and more Amazon.com... 27, 2018 I have should tell us the basics down he does have many excellent teaching,... From the action principle IMHO ) very accessible and very geometrical introduction to special relativity classical! And Field theory and relativity does skip steps enough detail or motivation m covering and give reading.... Reviewers, you should not have to do some calculations gauge invariance and manipulation, you are directly! 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2020 special relativity and classical field theory errata