Thanks go to David G for helping out with this video, we also filmed a video over on his channel! Don't forget to see Gerard 't Hooft's site on how to become a theoretical physicist, which is a collection of some of the best physics learning materials. www.staff.science.uu.nl/~gadda001/goodtheorist/index.html Leave any of your own book recommendations here in the comments! :)
Lol, Engineers can't take load of Rasnik and Halliday, Feynman Lectures like books 😎😎. Because These are for Physicists. These books are for Exploring the Universe not for any exam
Thanks you so much. I’m currently doing my undergrad in pure mathematics and neuroscience and was always interested in learning physics at a more higher level. I’ve been researching some good physics textbooks for a while and I think I just found what I’m looking for. Again, I really appreciate the recommendations. Keep up the great work!
Here's my books for Mathematics (that I've studied so far) Rudin for Real Analysis. Visual Complex Analysis, Conway, Stein and Sakarachi( Princeton Lectures) for Complex Analysis. Munkres for Point Set Topology. Hatcher for Algebraic Topology. Joseph Gillian and Dummit-Foote for Abstract Algebra. Farlow/Strauss For Partial Differential Equations. Also if you're interested in Algebraic geometry (like me) then Ravi Vakil's notes are great. P.S.))) I'm a Second year Undergraduate so that's all that I've studied as of now.
Neyde Spears Well I'm not into Number Theory and stuff much since High School (during my Olympiad days) the best I can recommend is Burton for Elementary Number Theory, it picks up right from the basics and After that you can pick up almost any Book on Number Theory. And as far as Algebraic/Additive Number Theory is Concerned then I've no idea about those. Also do visit AoPS and MathStack. In AoPS you can contact and communicate with a lot of "budding" Number Theorists. And I'm sure they will help you a lot. Edit:: Since You might be doing NT which certainly requires lots of Proofs and it can get tricky so I'd recommend you 2 more books that will surely help you a ton First one is "How to Solve it" by George Polya. And the Second one is a by Terence Tao (sadly I forgot it's name) and it was also very helpful and a nice read. So do check them out.
Kri Tik thanks! I was going to request that tibees make a video on some math books (considering she is a double major). Where would you recommend starting though? Real Analysis? I have an AP Calculus BC background (like cal 1 and 2), and have been learning differential equations and multivariable cal, but want to start picking up on some of the areas of math you have listed here.
Ethan Martin That's gonna be a very long comment. Ok that's a very good question and to be honest you can do the following things.....but before that remember that Calc1,2 or ODE are not "pure-abstract" part of math so before Studying Topics like Analysis/Abstract Algebra you really need to condition your mindset. First off id recommend you to Start with a very Basic book on Real Analysis and there's this book by Abbot it's a slow read but make sure that you take your time and not rush because initially things might seem very trivial like Continuity/Differentiation etc etc which you might have covered up in Calc 2. Right. So start off easy now after that I'd really really recommend you Rudin Analysis. Beware this book might seem like a nightmare to study( every math major is afraid of this book) but trust me not giving up is the key. I have given almost 500+ hours to this book and it really feels kinda easy at this point. If you don't want to start with Analysis then start with Linear Algebra or Abstract Algebra . Both of these topics can be easily understood if you have the "right" books. Or if you want a 3rd option than go for Munkres Topology, might feel a bit dry intially but once it "clicks" then afterwards it's a smooth and fun journey . And I've saved the best for the last: "Visual Complex Analysis by Needham " Handsdown the best Math book I've studied so far just buy this book straight up right NOW like seriously and give 1-2 hours everyday. Trust me your love for math will gain New Heights.
The timing of this video could not be any more perfect. I start break next week, and I'll be going to college as a freshman when fall rolls around. Since I'll have an incredible amount of free time over the next couple of months, I thought it would be opportune to learn more about something that really fascinates me: physics. I've spent a few hours over the past few days trying to find some interesting books that would give me a good in-depth understanding of some of the different disciplines included within the subject, such as classical mechanics. I know there's no way I'll be an expert in the entire science by summer's end, but I think I could get decent headway in understanding some of the interesting things about the physics of our world. Anyways, thanks so much for making this video; this is super helpful in allowing me to decide what books I should pick up during the next two weeks. I'm not subscribed to your channel, but I'm often recommended your content. I realize that much of your content aligns with my interests, and I'm happily subscribing right now.
Can you tell me that can I read physics if I know all the high school math and physics courses but after high school if I lost 3 years and again going to read physics for higher courses And also which things are helpful now ?
Excellent! Thank you so much. Yes, David Griffith's "Introduction to Electrodynamics" is a classic which we studied as part of undergrad Physics here in India. I have preserved my copy that I bought in 1984. It's yellowed, but mercifully that physics hasn't changed!
First of thank you Toby for the lovely video! It is nice to see your channel grow! I myself am about to finish my undergraduate studies in mathematics and I always study some physics on the side and I always come to this channel to seek information and suggestions. For those of you who wish to have a reading list for mathematics (Out of the perspective of a pure mathematics studies), then here you go: 1. Analysis I/Calculus I Analysis is roughly the rigorous study of calculus, whereas calculus is simply the mechanical process of applying the rules. I never used "Calculus books" but rather analysis ones. Here I recommend: Calculus by Michael Spivak (or Calculus Volume I by Tom Apostol if you like his style more). The title "Calculus" is misleading since in the preface Spivak himself writes that the book should actually be called an introduction to real analysis. There is always Principles of mathematical analysis (aka Baby Rudin) by Walter Rudin. The old-school traditionalists swear on this book. I have tried it out and I think that this book is not a good textbook for self-studying at all. To me it is more of a personal collection of notes. Instead of Rudin I enjoyed Analysis I by Terence Tao (Terry Tao is considered one of the greatest living mathematicians). There is also an Analysis II by Tao. The great thing about Tao is that he starts constructing the number systems from the natural numbers (using the Peano Axioms) and then he starts with the rigorous study of what is considered mathematical anaylsis. If you speak German, then there is Analysis I by Escher (You can try and search for a translated copy, not sure if one exists) or Analysis I by Otto Forster. 2. Linear Algebra This was a tricky one for me. I have tried out many books and the one which fit my style was Linear Algebra by Friedberg, Insel and Spence. I have also tried Linear Algebra by Serge Lang (If you find any of these too tough then Lang also wrote an Introduction to linear algebra which I went through but found it too easy). Another book which you should look into is Linear Algebra by Shilov. The only reason why I picked Friedberg over Shilov was that Shilov starts to introduce the theory with determinants which I did not like. I like it when it starts with vector spaces. Another book which many people recommend is Linear Algebra Done Wrong by Serge Treil (freely available online). Again some German books: Lineare Algebra by Gerd Fischer (My favorite linear algebra book) or you could try Lineare Algebra by Siegfried Bosch. Check if there are translations. 3. Stochastik/Probability Theory/Statistics I do not have a recommendation here. I totally hated the subject because we used an "applied/engineering" book. 4. Analysis II/ Calculus II You can use the second half of Spivak's Calculus book. This is a tricky recommendation because some universities consider Analysis II to be analysis of multiple variables and some consider it to begin with Integration techniques and then sequences and series. If it is the latter, then go with Spivak. If it is the former, then you can use Vector Calculus by Hubbard and Calculus on manifolds by Spivak. (Hubbard is good at crunching numbers and applications and Spivak is good at pure rigorous theory but I believe that Spivak fails to stand on its own with this book since it is not introductory friendly. In short, use both.) For the German books: Analysis II by Escher or Analysis II by Otto Forster. 5. Numerics I can't remember the assigned textbook. But for the German book which I read is Numerik by Stoer. 6. Measure Theory I only have a German book to recommend: Mass und Integrationstheorie by Elstrodt. 7. (Abstract) Algebra There is the classic by Dummit and Foote. There is also one by Artin. I personally used the German book by Siegfried Bosch. 8. Functional Theory I only read a German book: Funktionentheorie by Busam 9. Functional Analysis I only read a German book: Funktionalanalysis by Werner 10. Topology Munkres. For the German book: Hoehere Analysis by Werner (The chapter on topology) The above topics are pretty much what is considered the basic mathematical training. Beyond would be specialization. Here you should seek advice from experts in the field or your faculty depending in what you wish to specialize. PS: I also took Discrete Mathematics and used the book by Rosen and I also took Mathematical Logic and the book used was Logic in computer science modelling and reasoning about systems by Huth. For those of you who do not see any Differential equations here is because my ODE was pretty much covered by lecture notes during some other courses. As for PDE, not everyone is required to take PDE where I am from (unless you go into physics, mathematical physics or any other specialization which requires it). Edit: For those of you who struggle with proofs. There is a book called the Book of Proof by Hammack and How to think like a mathematician by Houston. But if you go through Calculus by Spivak, or Analysis I by Tao, then those two books should introduce you nicely to proofs so that you do not need any book on writing proofs. I used them only to enhance my mathematical writing style and ability.
I'm a 16 year old simple boy. I came here accidently and now I am going depressed . Thanks guys. Now I'll solve my basic alegbra with the hope I'll reach your level friends . Thank you .
Oscar Hey, can you list some other sites too which host mainly books for science and mathematics. This site is great but I need to know others too for the times where I can't find a good book online. Thanks.
Oscar Thanks! I have used archive.org before and i was not too impressed by it although it contains a large amount of books it still misses some particular ones. Thanks for listing the other sites.
I'm at that crossroads point in my life right out of high school when I get to choose between a Math degree or a Physics degree and I've been viewing your videos very minutely so that I can make a wise decision. Thanks a lot for helping me out! Love your videos.
AntitheistExmuslimAtheist what? Seriously!! I’m absolutely loving pure mathematics. I think I have to disagree with you on the ‘no fun’ part, it’s actually extremely interesting, you just have to approach it correctly. I understand that some people only find value or interest in things that relate to the physical world but there are also some who prefer sticking to the abstract.
Course of theoretical physics by Landau and Lifshitz is very popular in Russia and it was translated to english. 10 books cover almost whole physics (up to 1960s) and necessery mathematics. Add to this Peskin's QFT book and you are ready to study modern physics.
Physics afforded me a wonderful career. Over 40 years ago I graduated with a physics degree. I have now retired. I did not work in physics, but the overall education concepts, thoughts and focus of physics gave me essential career skills. I am a firm believer that math and science study will get you a very good life career. My advice, you may study a topic, but you may also not do exactly that in life. But what you learned will get you a wonderful career.
Got my B.S. in Physics in 1982 and my "green bible" was my Halliday and Resnick (no Walker back then). The cover was green with yellow sine waves at various angles on the front.
Resnick and Halliday are still the best basic physics. Kleppner and kolenkow is good for mechanics, resnick for special relativity, fowles and Cassidy is slightly more advanced with a more interseting collection of probs. Space time physics Taylor and wheeler is a must read for special relativity. For modern physics eisberg and resnick gives a comprehensive coverage..I used it to learn quantum physics on my own before moving on to Griffiths, gasiorowicz..Shankar is also great for quantum mechanics. Hook and hall is better for solid state than kittel, mendl for statistical physics, reif has two books on statistical physics on advanced and the other basic..both are great ..Boas is best for math. If you are exploring calculs in detail apostols two Vols are the best ..
I would suggest 'A User's Guide to the Universe' by Dave Goldberg and Jeff Blomquist. It's a really fun read for physics beginners. It frames really complex ideas in funny questions, like "If you were in a car traveling at the speed of light and you turned on your headlights, what would happen?" Great video, you're awesome Tibees.
I think the light from the headlight will not pass the car as the medium is the same for both the car and the light i.e space and when the headlight will be turned on it will need to achieve the same speed as of car(car speed being the speed of light
Surprised that Gravitation by Misner Wheeler and Thorne (aka the big black book) was not mentioned. I highly recommend it for studying some serious GR; the book is masterfully written and elegantly connects mathematical theories and their physical meanings.
I studied tensor analysis and old school GR. Years ago, I had purchased Gravitation, and was eager to go through it. But in the beginning, there was that "bongs of the bell" thing, which confused the hell out of me. I suppose it was a way of looking at covariant vectors, that the old-schooler's didn't bother with. I couldn't get those diagrams to add up in my brain, so had to give it up and went on to something else. I'm sure there is a simple explanation. Sometimes I can't see the forest for the trees, as they say.
Muchas gracias Toby y David por compartir sus experiencias académicas con estos libros. No es mi campo, pero desde hace unos pocos años he ingresado al mundo de la física con algunos textos de teoría y otros de divulgación y realmente es impresionante lo que he encontrado. También disfruté y conocí más con muchos de tus videos de divulgación Tibees. Saludos desde Bolivia.
I would like to comment something from personal experience,in case you are still in highschool, and you are planning to go to university, dont try to read "complicated"(advanced is the right term) books just to impress people,focus instead on developing great studying habits that are going to be much more useful when you get into college than what you might think you know about physics,you will learn stuff on the way,but if you are too light working you wont get pass first year
Holy shit. Yes. SOLVE PROBLEMS. I had a lot of trouble early on in uni because I used to read lots and lots and "understand" the concepts deeply, but I had a really hard time dealing with "mathing" my thoughts, which still is my Achilles heel, so as early as you can, learn to MATH YOUR THOUGHTS - the earlier you begin to practice, the easier it is to keep it going.
Hello. I have three questions for you. Would you explain "math your thoughts". 2nd, i read that it is recommended to study calculus first, before studying physics, because it goes into calculus quickly and 3rd i also read that there are too many formulas in physics to memorize, so one must logically/intuitively understand how to get the equations.
Well, that's exactly the thing - in high school, I used to literally just know "the formulae" and say "okay, I know physics" but there isn't such a simple thing such as "know the formulae" in uni - things get VERY messy depending on which course you're in. When I say "Math your thoughts" it means learn how to look at physics (even daily things) and have an idea on how to make equations for those things, how to see "numbers" where there aren't, but understanding why your thoughts are correct One simple example is the equation for a point mass sliding on a horizontal plane with friction involved: IT DOESN'T MOVE LINEARLY THEN STOP. It goes in an exponential pattern, which (when you make an experiment to simulate said situation) is quite clear, but only because we could look at the problem at tell how to math everything beforehand. Always make use of the feynman method, always make sure to treat everything you're unsure of as something you don't know anything about (except maybe in exams, lol), and lastly: BE CURIOUS! Ask things, run around the internet reading articles about things you like, heck, even watching silly youtube videos is already a nice gateway into things. Anyhow: That's it :D
Now i have even MORE questions. How did you know it does NOT move linearly? Did you already understand the basic physics beforehand, so you knew what was going to happen? Or did you learn after the fact. What is an exponential pattern? what is a point mass?
for problem solving intriguing physics-Peter Gnadgid 200 puzzling physics problems. for concepts- cenegage series by g. tejwani quantum mechanics by g aruldas resnick halliday[and walker for begineners, and krane for intermediates.
Best Physics book for lay-people: Issac Asimov "Understanding Physics." Why I recommend it: 1) It has no maths. 2) Asimov can write. 3) It covers topics from Classical Physics to Nuclear Physics. 4) I read it back in high school and it was comprehensible.
Thankyou for this video.I was exactly looking for a video like this.I believe both of you and going to follow your advice blindly and start physics-ing :D
Thanks for this. I loved the quantum physics part of my chemistry degree. So much so, I went on to do a PhD in synthetic organic chemistry, where I applied physics to my mechanisms. Now I’m a patent attorney and I try and use fundamental explanations when writing. Physics is such a fundamental skill that touches on many subjects.
Resnick and Halliday was the core book I used in high school. I liked it, among other things, for the quote "You should know Maxwell's four equations simply for the good of your soul." (or something like that).
This is a very helpful post. I'm an professional accountant but took notice of the physical world because of my concerns about climate change. Now I know which materials to pick for my journey to become a self-taught physicist.. 😁
I have known several PhD's who read through the Feynman Lectures before their oral exams and found it very worthwhile. WHne I was an undergrad the filmed lectures were still available and our SPS chapter showed them. I bought the books (hard bound!) after that. (The films have been tied with legal ownership disputes for 50 years now?)
Surely the obvious Feynman books for starters are "6 easy pieces" and "6 not so easy pieces" which give great intro's to a wide range of physics - surprised you didn't mention.
Thanks for the video. You have explicitly left out references to string theory. I recommend this book that I studied with great pleasure: A First Course in String Theory by Barton Zwiebach.
@@The_Math_Enthusiast Feynman Lectures, Rasnik and Halliday are farr better. HC Verma Sir himself is fan of Rasnik and Halliday. And, Feynman Lectures are Bible of Physics
Please do a video about your study and note taking structures, i am having a hard time managing multiple courses at the same time and often i find myself lost not knowing exactly how to study and how to even organize my notes/practice problems. Please it would be very helpful and highly appreciated.
Lol the whole vid I was anxiously waiting if that cyan book was indeed Kittel! Important book for me too. My uni used Serway too for undergrad. Also Griffiths, he's a good writer in text, but I found the maths a bit over my head. Could do with a little more explanations and examples, and dumb it down more (maybe it's just me that's not up to the material...) My course on elementary particles used his book and the professor was awful at explaining math, I never passed that course...
Certainly, I would have recommended the Landau’s serie about theoretical physics. I think this collection is more nutritive than the other, even though Dau’s books are harder.
Follow what they do in the universities: Start with a freshman physics textbook, while learning calculus. For self-study I would recommend learning calculus before any physics. Then one must learn classical mechanics. I learned, years later, that statistical mechanics is quite important, also group theory. It seems that physics has two branches; one being the differential or calculus branch, and one the algebraic branch (or what I call the "other" branch). The calculus branch goes up to differential equations, to vector and tensor analysis. The other branch includes group theory, Lie theory, algebraic topology, knot theory, m-theory, and probably a few other things. These all come together in quantum field theory and string theory. I don't want to give you the impression that I know all these theories I've mentioned. That's the thing about learning math and physics - it's really enjoyable, but really depressing, because you become aware of the many subjects that you don't know or barely know. You could feel good that you know quantum mechanics, until someone comes up to you talking about knot theory, which you know nothing about, and you feel stupid. But you can't stop to learn knot theory in depth, because you would have to give up learning something else.
A good resource for the autodidactically minded for understanding basic undergraduate quantum mechanics is Quantum Mechanics Demystified: A Self Teaching Guide, by David McMahon. It has a lot of typos in it, but these are easily corrected as one works through the material. I'd looked at Griffiths' book and some other quantum mechanics texts before, but this book got me the furthest in feeling like I understand non-relativistic Quantum Mechanics. It probably isn't very good for passing exams, but that's not what I was using it for, and probably not what most people teaching themselves QM would want it for. I also picked up Rovelli's Quantum Gravity and read through the first, mainly conceptual part, and it seems valuable for simply motivating quantum gravity, irrespective of the fact that the approach he chooses is loop quantum gravity. Given how wide open most foundational questions seem to be in physics at present, loop quantum gravity doesn't seem to be at any serious disadvantage compared to string or membrane theories.
I’ve gone through the first 25 chapters of volume 1 of the Feynman physics lectures online and have really enjoyed reading it thus far. I don’t know about others out there, but it is a really slow read for me, something I’m not that used to. I understand the basis of the topics he refers to throughout his lectures, but they have subtlety that is difficult for a generally impatient person like me to close read. I would say my favorite part of his lecture was his description of distances Ch5 and his description of Newton gravity Ch7. I think he is very good at “packing a punch” with his words as to communicate much with a bit less words. It was really beneficial in allowing me to conceptualize the concepts rather than memorizing formulas. Reading ahead somewhat and going through different chapters ( going through some of volume 2 and 3) I was less satisfied with learning the content for the first time than I was going over concepts I had already gotten an understanding for because I became frustrated with my lack of understanding of the content. I found myself becoming scattered quickly. There is an exception, which may be explained by the fact that the exception was the only verbatim lecture in his set. That was the principle of least action, something I only knew existed to make calculations in Newtonian physics easier. Probably my favorite read of all time: it was good for those who like having things explained in words and for those who can make inferences from math.
The math prof i had always recommended "The road to reality: a complete guide to the laws of the universe" by Roger Penrose. But he also added that he didn't understand further than like page 400 and the other math prof (who actually was a physicist) probably understands up to page 600 of 1136. So i guess i would have to stop after like page 150 or so when he's still going on about integration.
Physics for scientists and engineers 6th edition by Paul A. Tipler was a good physics undergrad book. It moved me to tears each time i read it. literally.
Dear Tibees, I think it could be very nice if you do a videos about Planck low and Black Body radiation. Explain why is there a maximum radiated power for a particular frequency/wavelength. ;)
Please, do another video for the books to learn the fundamentals of Computer Science. Learning to program is relatively easy in Internet, but for becoming a truly good programmer, it is necessary to learn the fundamentals too. Thanks for this video!
I had an interesting experience in California - not CalTech. The professor used Jackson for undrgraduate E & M. I think this was an experiment and I don't know if he repeated it. Of course undergraduate physics majors would not have the mathematics background. But the professor essentially interpreted the material for undergraduates. The class would be taken by junior or senior level students, not freshman or sophomore level students. I was a senior mathematics major and had finished courses like real analysis. I was concurrently taking a graduate math course that included things like Legendre polynomials so I was happy as a clam with the choice of Jackson for E & M. I don't know if the physics majors were so keen on the book however. Of course the key was that Jackson was interpreted by the professor for undergraduates. If he had just lectured from Jackson, it would have been a disaster.
I took an undergraduate level string theory course at my university and worked through problems out of Barton Zwieback - A First Course in String Theory. I have a fuzzy memory of it being intuitive and well-written.
I got a few books on Differential Geometry today, so after hearing you say at 17:46 that it's not easy I got me a bit worried. I do like challenges though so I might enjoy it.
Recording this Kind of interviews in 360° would look much interesting. Goethe University has a good UA-cam video in this format, really cool! ☺️👍🏼 [Studium Lehre Goethe-Universität]
Thanks go to David G for helping out with this video, we also filmed a video over on his channel! Don't forget to see Gerard 't Hooft's site on how to become a theoretical physicist, which is a collection of some of the best physics learning materials. www.staff.science.uu.nl/~gadda001/goodtheorist/index.html
Leave any of your own book recommendations here in the comments! :)
Tibees Study the Landau-Lifshitz series of books, or the Feynman Lectures on Physics (3 vols). 😊
Are u from which country ? @Tibees
Thanks alot for your interested in helping others. I do not have word to explain my attention taword you
How about IE Irodov's books
@@ferociousjuggler2668 leave these bloody books that makes u robot
nobody:
some random indian engineer:
so you aint gonna include concepts of physics hc verma
lol
😆😆
Maybe because it has lots of physics problems. 😅
Although the problem are very creative
Lol
Lol, Engineers can't take load of Rasnik and Halliday, Feynman Lectures like books 😎😎. Because These are for Physicists.
These books are for Exploring the Universe not for any exam
Thanks you so much. I’m currently doing my undergrad in pure mathematics and neuroscience and was always interested in learning physics at a more higher level. I’ve been researching some good physics textbooks for a while and I think I just found what I’m looking for. Again, I really appreciate the recommendations.
Keep up the great work!
which college were/are you in?
Here's my books for Mathematics (that I've studied so far)
Rudin for Real Analysis.
Visual Complex Analysis, Conway, Stein and Sakarachi( Princeton Lectures) for Complex Analysis.
Munkres for Point Set Topology.
Hatcher for Algebraic Topology.
Joseph Gillian and Dummit-Foote for Abstract Algebra.
Farlow/Strauss For Partial Differential Equations.
Also if you're interested in Algebraic geometry (like me) then Ravi Vakil's notes are great.
P.S.))) I'm a Second year Undergraduate so that's all that I've studied as of now.
Kri Tik Which one would you recommend for number theory?
Neyde Spears
Well I'm not into Number Theory and stuff much since High School (during my Olympiad days) the best I can recommend is Burton for Elementary Number Theory, it picks up right from the basics and After that you can pick up almost any Book on Number Theory. And as far as Algebraic/Additive Number Theory is Concerned then I've no idea about those.
Also do visit AoPS and MathStack.
In AoPS you can contact and communicate with a lot of "budding" Number Theorists. And I'm sure they will help you a lot.
Edit:: Since You might be doing NT which certainly requires lots of Proofs and it can get tricky so I'd recommend you 2 more books that will surely help you a ton
First one is "How to Solve it" by George Polya. And the Second one is a by Terence Tao (sadly I forgot it's name) and it was also very helpful and a nice read. So do check them out.
Kri Tik
thanks! I was going to request that tibees make a video on some math books (considering she is a double major). Where would you recommend starting though? Real Analysis? I have an AP Calculus BC background (like cal 1 and 2), and have been learning differential equations and multivariable cal, but want to start picking up on some of the areas of math you have listed here.
Ethan Martin
That's gonna be a very long comment.
Ok that's a very good question and to be honest you can do the following things.....but before that remember that Calc1,2 or ODE are not "pure-abstract" part of math so before Studying Topics like Analysis/Abstract Algebra you really need to condition your mindset. First off id recommend you to Start with a very Basic book on Real Analysis and there's this book by Abbot it's a slow read but make sure that you take your time and not rush because initially things might seem very trivial like Continuity/Differentiation etc etc which you might have covered up in Calc 2. Right. So start off easy now after that I'd really really recommend you Rudin Analysis. Beware this book might seem like a nightmare to study( every math major is afraid of this book) but trust me not giving up is the key. I have given almost 500+ hours to this book and it really feels kinda easy at this point.
If you don't want to start with Analysis then start with Linear Algebra or Abstract Algebra .
Both of these topics can be easily understood if you have the "right" books.
Or if you want a 3rd option than go for Munkres Topology, might feel a bit dry intially but once it "clicks" then afterwards it's a smooth and fun journey .
And I've saved the best for the last:
"Visual Complex Analysis by Needham " Handsdown the best Math book I've studied so far just buy this book straight up right NOW like seriously and give 1-2 hours everyday. Trust me your love for math will gain New Heights.
Kri Tik thank u so much. Btw I can’t wait to get more information from tibees tho.
Please do one for mathematics!!!
I second this!
jake I third this
I would be so grateful.
Ok!
yeah!!
The timing of this video could not be any more perfect. I start break next week, and I'll be going to college as a freshman when fall rolls around. Since I'll have an incredible amount of free time over the next couple of months, I thought it would be opportune to learn more about something that really fascinates me: physics. I've spent a few hours over the past few days trying to find some interesting books that would give me a good in-depth understanding of some of the different disciplines included within the subject, such as classical mechanics. I know there's no way I'll be an expert in the entire science by summer's end, but I think I could get decent headway in understanding some of the interesting things about the physics of our world. Anyways, thanks so much for making this video; this is super helpful in allowing me to decide what books I should pick up during the next two weeks. I'm not subscribed to your channel, but I'm often recommended your content. I realize that much of your content aligns with my interests, and I'm happily subscribing right now.
Can you tell me that can I read physics if I know all the high school math and physics courses but after high school if I lost 3 years and again going to read physics for higher courses
And also which things are helpful now ?
8:50 I'm giggling. "There are other ways to get textbooks" wink wink TORRENTS.
Wink wink Libgen
Ayush J that was exactly my thought when i saw his profile pic wth?
B-ok.xyz is an electronic library
Laughs in utorrent
zlibrary my beloved
Excellent! Thank you so much. Yes, David Griffith's "Introduction to Electrodynamics" is a classic which we studied as part of undergrad Physics here in India. I have preserved my copy that I bought in 1984. It's yellowed, but mercifully that physics hasn't changed!
First of thank you Toby for the lovely video! It is nice to see your channel grow! I myself am about to finish my undergraduate studies in mathematics and I always study some physics on the side and I always come to this channel to seek information and suggestions.
For those of you who wish to have a reading list for mathematics (Out of the perspective of a pure mathematics studies), then here you go:
1. Analysis I/Calculus I
Analysis is roughly the rigorous study of calculus, whereas calculus is simply the mechanical process of applying the rules. I never used "Calculus books" but rather analysis ones.
Here I recommend:
Calculus by Michael Spivak (or Calculus Volume I by Tom Apostol if you like his style more). The title "Calculus" is misleading since in the preface Spivak himself writes that the book should actually be called an introduction to real analysis.
There is always Principles of mathematical analysis (aka Baby Rudin) by Walter Rudin. The old-school traditionalists swear on this book. I have tried it out and I think that this book is not a good textbook for self-studying at all. To me it is more of a personal collection of notes.
Instead of Rudin I enjoyed Analysis I by Terence Tao (Terry Tao is considered one of the greatest living mathematicians). There is also an Analysis II by Tao. The great thing about Tao is that he starts constructing the number systems from the natural numbers (using the Peano Axioms) and then he starts with the rigorous study of what is considered mathematical anaylsis.
If you speak German, then there is Analysis I by Escher (You can try and search for a translated copy, not sure if one exists) or Analysis I by Otto Forster.
2. Linear Algebra
This was a tricky one for me. I have tried out many books and the one which fit my style was Linear Algebra by Friedberg, Insel and Spence. I have also tried Linear Algebra by Serge Lang (If you find any of these too tough then Lang also wrote an Introduction to linear algebra which I went through but found it too easy). Another book which you should look into is Linear Algebra by Shilov. The only reason why I picked Friedberg over Shilov was that Shilov starts to introduce the theory with determinants which I did not like. I like it when it starts with vector spaces. Another book which many people recommend is Linear Algebra Done Wrong by Serge Treil (freely available online).
Again some German books: Lineare Algebra by Gerd Fischer (My favorite linear algebra book) or you could try Lineare Algebra by Siegfried Bosch. Check if there are translations.
3. Stochastik/Probability Theory/Statistics
I do not have a recommendation here. I totally hated the subject because we used an "applied/engineering" book.
4. Analysis II/ Calculus II
You can use the second half of Spivak's Calculus book. This is a tricky recommendation because some universities consider Analysis II to be analysis of multiple variables and some consider it to begin with Integration techniques and then sequences and series. If it is the latter, then go with Spivak. If it is the former, then you can use Vector Calculus by Hubbard and Calculus on manifolds by Spivak. (Hubbard is good at crunching numbers and applications and Spivak is good at pure rigorous theory but I believe that Spivak fails to stand on its own with this book since it is not introductory friendly. In short, use both.)
For the German books: Analysis II by Escher or Analysis II by Otto Forster.
5. Numerics
I can't remember the assigned textbook. But for the German book which I read is Numerik by Stoer.
6. Measure Theory
I only have a German book to recommend: Mass und Integrationstheorie by Elstrodt.
7. (Abstract) Algebra
There is the classic by Dummit and Foote. There is also one by Artin. I personally used the German book by Siegfried Bosch.
8. Functional Theory
I only read a German book: Funktionentheorie by Busam
9. Functional Analysis
I only read a German book: Funktionalanalysis by Werner
10. Topology
Munkres. For the German book: Hoehere Analysis by Werner (The chapter on topology)
The above topics are pretty much what is considered the basic mathematical training. Beyond would be specialization. Here you should seek advice from experts in the field or your faculty depending in what you wish to specialize.
PS: I also took Discrete Mathematics and used the book by Rosen and I also took Mathematical Logic and the book used was Logic in computer science modelling and reasoning about systems by Huth. For those of you who do not see any Differential equations here is because my ODE was pretty much covered by lecture notes during some other courses. As for PDE, not everyone is required to take PDE where I am from (unless you go into physics, mathematical physics or any other specialization which requires it).
Edit: For those of you who struggle with proofs. There is a book called the Book of Proof by Hammack and How to think like a mathematician by Houston. But if you go through Calculus by Spivak, or Analysis I by Tao, then those two books should introduce you nicely to proofs so that you do not need any book on writing proofs. I used them only to enhance my mathematical writing style and ability.
Wow thanks for all these recommendations!
I'm a 16 year old simple boy. I came here accidently and now I am going depressed . Thanks guys. Now I'll solve my basic alegbra with the hope I'll reach your level friends . Thank you .
Dude you still there??
🤣
⛬ everyone should be finding frens every where they go. we all need each other ⛬
Yeah
Me to bro
Loved it, it's an under rated channel for sure😍
I like to go full pdf xD. Math books are too expensive for me.
Oscar Hey, can you list some other sites too which host mainly books for science and mathematics. This site is great but I need to know others too for the times where I can't find a good book online. Thanks.
Oscar Thanks! I have used archive.org before and i was not too impressed by it although it contains a large amount of books it still misses some particular ones. Thanks for listing the other sites.
Oscar 😊
@Maya I got a degree in engineering basically by using gigapedia back in the days and later on library genesis. I didn't spend a dime on books.
@@saumyaranjan9256 github.com/Igglybuff/awesome-piracy #textbooks and #academic-papers-and-material
I'm at that crossroads point in my life right out of high school when I get to choose between a Math degree or a Physics degree and I've been viewing your videos very minutely so that I can make a wise decision. Thanks a lot for helping me out! Love your videos.
Electric2Shock why not do both ?
Qais Sgoor
Physics is better...from my experience pure maths alone is cancer and no fun
AntitheistExmuslimAtheist what? Seriously!!
I’m absolutely loving pure mathematics. I think I have to disagree with you on the ‘no fun’ part, it’s actually extremely interesting, you just have to approach it correctly.
I understand that some people only find value or interest in things that relate to the physical world but there are also some who prefer sticking to the abstract.
AntitheistExmuslimAtheist Your opinion is cancer lol
Electric2Shock I’d say physics opens up more career options in life but it depends what you want to do
Very cool! I was planning to spend more time on reading about Physics
Pat Parker was?? Why not now?
@@VibezVideo thanks for clearing up and wow just realised it's been 3 years since the comment.. Time flies
Griffiths' Introduction to Quantum Mechanics...I still remember all the work I did with this textbook...vividly.
You replied to my question with a video 😭😍😱
Thanks for the question
You are not going to impress an intelligent woman with that kind of usage of emojis.
Alex V Lol
Alex Lol
List of undergrad and post graduate books are wonderful but other are stupid ,for those see Simon Clerk chanel
I am going to start my Physics undergrad in a few months. Really needed this...
And I will start it after 1 year
How is it going?
Course of theoretical physics by Landau and Lifshitz is very popular in Russia and it was translated to english. 10 books cover almost whole physics (up to 1960s) and necessery mathematics. Add to this Peskin's QFT book and you are ready to study modern physics.
As far I know they are highly regarded as well in Argentina and in France. These are not pass exam books.
Physics afforded me a wonderful career. Over 40 years ago I graduated with a physics degree. I have now retired. I did not work in physics, but the overall education concepts, thoughts and focus of physics gave me essential career skills. I am a firm believer that math and science study will get you a very good life career. My advice, you may study a topic, but you may also not do exactly that in life. But what you learned will get you a wonderful career.
Got my B.S. in Physics in 1982 and my "green bible" was my Halliday and Resnick (no Walker back then). The cover was green with yellow sine waves at various angles on the front.
Resnick and Halliday are still the best basic physics. Kleppner and kolenkow is good for mechanics, resnick for special relativity, fowles and Cassidy is slightly more advanced with a more interseting collection of probs. Space time physics Taylor and wheeler is a must read for special relativity. For modern physics eisberg and resnick gives a comprehensive coverage..I used it to learn quantum physics on my own before moving on to Griffiths, gasiorowicz..Shankar is also great for quantum mechanics.
Hook and hall is better for solid state than kittel, mendl for statistical physics, reif has two books on statistical physics on advanced and the other basic..both are great ..Boas is best for math. If you are exploring calculs in detail apostols two Vols are the best ..
That book is now called : Physics by Resnick, Halliday and Krane. The book by Walker, Halliday and Resnick is a different book.
I would suggest 'A User's Guide to the Universe' by Dave Goldberg and Jeff Blomquist. It's a really fun read for physics beginners. It frames really complex ideas in funny questions, like "If you were in a car traveling at the speed of light and you turned on your headlights, what would happen?" Great video, you're awesome Tibees.
I think the light from the headlight will not pass the car as the medium is the same for both the car and the light i.e space and when the headlight will be turned on it will need to achieve the same speed as of car(car speed being the speed of light
"Goldberg"
Nah...
isn't that called "The Hitchhikers Guide to the Galaxy?"
I'm using Young and Freedman for my first year, so far so good.
Surprised that Gravitation by Misner Wheeler and Thorne (aka the big black book) was not mentioned. I highly recommend it for studying some serious GR; the book is masterfully written and elegantly connects mathematical theories and their physical meanings.
I studied tensor analysis and old school GR. Years ago, I had purchased Gravitation, and was eager to go through it. But in the beginning, there was that "bongs of the bell" thing, which confused the hell out of me. I suppose it was a way of looking at covariant vectors, that the old-schooler's didn't bother with. I couldn't get those diagrams to add up in my brain, so had to give it up and went on to something else. I'm sure there is a simple explanation. Sometimes I can't see the forest for the trees, as they say.
Muchas gracias Toby y David por compartir sus experiencias académicas con estos libros. No es mi campo, pero desde hace unos pocos años he ingresado al mundo de la física con algunos textos de teoría y otros de divulgación y realmente es impresionante lo que he encontrado. También disfruté y conocí más con muchos de tus videos de divulgación Tibees. Saludos desde Bolivia.
I would like to comment something from personal experience,in case you are still in highschool, and you are planning to go to university, dont try to read "complicated"(advanced is the right term) books just to impress people,focus instead on developing great studying habits that are going to be much more useful when you get into college than what you might think you know about physics,you will learn stuff on the way,but if you are too light working you wont get pass first year
Holy shit. Yes.
SOLVE PROBLEMS.
I had a lot of trouble early on in uni because I used to read lots and lots and "understand" the concepts deeply, but I had a really hard time dealing with "mathing" my thoughts, which still is my Achilles heel, so as early as you can, learn to MATH YOUR THOUGHTS - the earlier you begin to practice, the easier it is to keep it going.
Hello. I have three questions for you. Would you explain "math your thoughts". 2nd, i read that it is recommended to study calculus first, before studying physics, because it goes into calculus quickly and 3rd i also read that there are too many formulas in physics to memorize, so one must logically/intuitively understand how to get the equations.
Well, that's exactly the thing - in high school, I used to literally just know "the formulae" and say "okay, I know physics" but there isn't such a simple thing such as "know the formulae" in uni - things get VERY messy depending on which course you're in.
When I say "Math your thoughts" it means learn how to look at physics (even daily things) and have an idea on how to make equations for those things, how to see "numbers" where there aren't, but understanding why your thoughts are correct
One simple example is the equation for a point mass sliding on a horizontal plane with friction involved: IT DOESN'T MOVE LINEARLY THEN STOP. It goes in an exponential pattern, which (when you make an experiment to simulate said situation) is quite clear, but only because we could look at the problem at tell how to math everything beforehand.
Always make use of the feynman method, always make sure to treat everything you're unsure of as something you don't know anything about (except maybe in exams, lol), and lastly: BE CURIOUS! Ask things, run around the internet reading articles about things you like, heck, even watching silly youtube videos is already a nice gateway into things.
Anyhow: That's it :D
Now i have even MORE questions. How did you know it does NOT move linearly? Did you already understand the basic physics beforehand, so you knew what was going to happen? Or did you learn after the fact. What is an exponential pattern? what is a point mass?
This is so calming to watch ~
Hyperspace from Michio Kaku is SOOOOOOOOOOOOOOOOOOOOOOOOOOOOO COOOOOOOOOOOOLLLLL
one of my first books that introduced me to an overall map of the newtonian/modern physics
He has written good recreational books and horrible textbooks.
It's awesome. It gives us a really good way of envisioning higher dimensions
I am reading that right now :)
Thanks for hardwork
for problem solving intriguing physics-Peter Gnadgid 200 puzzling physics problems.
for concepts- cenegage series by g. tejwani
quantum mechanics by g aruldas
resnick halliday[and walker for begineners, and krane for intermediates.
I am a physician but I have appetite to physics. You just encouraged me to read on physics.
Glad I found this! Looking forward to your suggestions for picking up mathematics as well :)
Best Physics book for lay-people: Issac Asimov "Understanding Physics." Why I recommend it: 1) It has no maths. 2) Asimov can write. 3) It covers topics from Classical Physics to Nuclear Physics. 4) I read it back in high school and it was comprehensible.
The "A very short introduction to Archeology" is legitimately one of the best written popacadeia books you can buy, if not the best.
Thankyou for this video.I was exactly looking for a video like this.I believe both of you and going to follow your advice blindly and start physics-ing :D
Thanks for this. I loved the quantum physics part of my chemistry degree. So much so, I went on to do a PhD in synthetic organic chemistry, where I applied physics to my mechanisms. Now I’m a patent attorney and I try and use fundamental explanations when writing. Physics is such a fundamental skill that touches on many subjects.
DJ Griffiths books are awesome, personally I love all of them.
OOOOOH! David has a sweater/jumper/whatever from xkcd! That is a sign of a cultured man.
Resnick and Halliday was the core book I used in high school. I liked it, among other things, for the quote "You should know Maxwell's four equations simply for the good of your soul." (or something like that).
Wonderful video guys. I'm an Applied Mathematics major who takes a ton of physics classes and these books will be checked out soon. Thank you.
This is a very helpful post. I'm an professional accountant but took notice of the physical world because of my concerns about climate change. Now I know which materials to pick for my journey to become a self-taught physicist.. 😁
God bless you
Even though I have seen this video several times, I watch it again everytime I come across it.
Toby, your videos are awesome. Thanks!
I have known several PhD's who read through the Feynman Lectures before their oral exams and found it very worthwhile. WHne I was an undergrad the filmed lectures were still available and our SPS chapter showed them. I bought the books (hard bound!) after that. (The films have been tied with legal ownership disputes for 50 years now?)
Great video! You forgot to mention the Theoretical Minimum Series by Susskind
these books that you guys recommended is very cool! now i know what book i'm going to choose depending on the course i want to take:)
i just brought Dj Griffith quantum and electrodynamics yesterday 😍
thanks.
Concepts of physics is also a very good book if you know a little bit calculus and want study physics from scratch to an undergraduate level
Thanks for giving that physics and maths devoted website online free course.
Thanks.This is a cool list!
Thanks for watching
I am just a medical student that loves learning new things related to science, and now thinking of reading some of the book you recommended.
Surely the obvious Feynman books for starters are "6 easy pieces" and "6 not so easy pieces" which give great intro's to a wide range of physics - surprised you didn't mention.
Its simple, its concise, its entertaining. Thank you!
Physics is my favorite subject
To hum kaya kare
Thanks for the video. You have explicitly left out references to string theory. I recommend this book that I studied with great pleasure: A First Course in String Theory by Barton Zwiebach.
please be in my band
What a wonderful topic you discussed this time. Really grateful! 👍🏻🙂
I'm surprised no one has mentioned Sears & Zemansky. Their Vol. 1 took me through my first year physics from zero to hero
Thank you for sharing such refreshing reviews , I really need them
I'm loving David's xkcd hoodie
In India, we have just one perfect book for Physics: HC Verma.
What do you think?
nyet
I Disagree
@@chris_louis Great!!! Give another recommendation.
@@The_Math_Enthusiast I disagree 😂
@@The_Math_Enthusiast Feynman Lectures, Rasnik and Halliday are farr better.
HC Verma Sir himself is fan of Rasnik and Halliday.
And, Feynman Lectures are Bible of Physics
You are the greatest student of all time, thank you!!
Oooo and you
😇 Say thanks to you for all your interesting video, it is so much appreciated and I always value your hard work !👍
Was this shot at the ANU? Great video. Your content is always stellar. :) 💫💫💫
Please do a video about your study and note taking structures, i am having a hard time managing multiple courses at the same time and often i find myself lost not knowing exactly how to study and how to even organize my notes/practice problems. Please it would be very helpful and highly appreciated.
Also, Kenneth Krane - Nuclear Physics and Light Fantastic by Kenyon (Optics).
Lol the whole vid I was anxiously waiting if that cyan book was indeed Kittel! Important book for me too. My uni used Serway too for undergrad. Also Griffiths, he's a good writer in text, but I found the maths a bit over my head. Could do with a little more explanations and examples, and dumb it down more (maybe it's just me that's not up to the material...) My course on elementary particles used his book and the professor was awful at explaining math, I never passed that course...
love you Tibee! i Love your experiences, dedication for this channel ,your beauty ;) and of course your humbleness !!! :)
Thank you for this beautiful sources
good book s
Concept of physics vol 1 by HC verma.
Concept of physics vol 2 by HC verma.
That's for school students in India
Really it is very nice book
HC Verma covers only HighSchool Physics which tbh isn't what Undergrad Physics is.
Thats just some basic high school stuff and that too compressed a lot
Hi tibees! Thank you for your recommendation and explanation 👌👍
I will definitely be reading these books.
Certainly, I would have recommended the Landau’s serie about theoretical physics. I think this collection is more nutritive than the other, even though Dau’s books are harder.
It's very helpful. thank u so much for this video. God bless u.
Follow what they do in the universities: Start with a freshman physics textbook, while learning calculus. For self-study I would recommend learning calculus before any physics. Then one must learn classical mechanics. I learned, years later, that statistical mechanics is quite important, also group theory. It seems that physics has two branches; one being the differential or calculus branch, and one the algebraic branch (or what I call the "other" branch). The calculus branch goes up to differential equations, to vector and tensor analysis. The other branch includes group theory, Lie theory, algebraic topology, knot theory, m-theory, and probably a few other things. These all come together in quantum field theory and string theory. I don't want to give you the impression that I know all these theories I've mentioned. That's the thing about learning math and physics - it's really enjoyable, but really depressing, because you become aware of the many subjects that you don't know or barely know. You could feel good that you know quantum mechanics, until someone comes up to you talking about knot theory, which you know nothing about, and you feel stupid. But you can't stop to learn knot theory in depth, because you would have to give up learning something else.
A good resource for the autodidactically minded for understanding basic undergraduate quantum mechanics is Quantum Mechanics Demystified: A Self Teaching Guide, by David McMahon. It has a lot of typos in it, but these are easily corrected as one works through the material. I'd looked at Griffiths' book and some other quantum mechanics texts before, but this book got me the furthest in feeling like I understand non-relativistic Quantum Mechanics. It probably isn't very good for passing exams, but that's not what I was using it for, and probably not what most people teaching themselves QM would want it for. I also picked up Rovelli's Quantum Gravity and read through the first, mainly conceptual part, and it seems valuable for simply motivating quantum gravity, irrespective of the fact that the approach he chooses is loop quantum gravity. Given how wide open most foundational questions seem to be in physics at present, loop quantum gravity doesn't seem to be at any serious disadvantage compared to string or membrane theories.
I passed my optical and acustic course thanks to Serway’s and Jewett’s book, it was very easy to understand.
I’ve gone through the first 25 chapters of volume 1 of the Feynman physics lectures online and have really enjoyed reading it thus far. I don’t know about others out there, but it is a really slow read for me, something I’m not that used to. I understand the basis of the topics he refers to throughout his lectures, but they have subtlety that is difficult for a generally impatient person like me to close read. I would say my favorite part of his lecture was his description of distances Ch5 and his description of Newton gravity Ch7. I think he is very good at “packing a punch” with his words as to communicate much with a bit less words. It was really beneficial in allowing me to conceptualize the concepts rather than memorizing formulas. Reading ahead somewhat and going through different chapters ( going through some of volume 2 and 3) I was less satisfied with learning the content for the first time than I was going over concepts I had already gotten an understanding for because I became frustrated with my lack of understanding of the content. I found myself becoming scattered quickly. There is an exception, which may be explained by the fact that the exception was the only verbatim lecture in his set. That was the principle of least action, something I only knew existed to make calculations in Newtonian physics easier. Probably my favorite read of all time: it was good for those who like having things explained in words and for those who can make inferences from math.
Davids got some seriously good posture like a gymnast or something
The feynman lectures on physics is very good. It doesn't have many numerical formula. It says about the nature of physics.
The math prof i had always recommended "The road to reality: a complete guide to the laws of the universe" by Roger Penrose. But he also added that he didn't understand further than like page 400 and the other math prof (who actually was a physicist) probably understands up to page 600 of 1136. So i guess i would have to stop after like page 150 or so when he's still going on about integration.
6:23 thank you!!!!! I can’t believe they’re free!!!!
Classical Mechanics by Goldstein is top for undergrad
Damn .. I thought that metal ball could roll any time :) .... I was watching it the whole time :)
I would recommend Resnick Walker Halliday
Physics for scientists and engineers 6th edition by Paul A. Tipler was a good physics undergrad book. It moved me to tears each time i read it. literally.
Daniel Kleppner -An Introduction to mechanics is super important
this video gives very good those information.I will revisit this video again again
This is really helful and interesting!. I am very curious about Feynman lectures and Hyperspace from Michio Kaku. Thanks for your helping work.
Thank you! Great video!
Dear Tibees,
I think it could be very nice if you do a videos about Planck low and Black Body radiation. Explain why is there a maximum radiated power for a particular frequency/wavelength. ;)
Please, do another video for the books to learn the fundamentals of Computer Science. Learning to program is relatively easy in Internet, but for becoming a truly good programmer, it is necessary to learn the fundamentals too. Thanks for this video!
Thank you 🍫🍫🍫🍫 for doing these videos for us
Thanks Toby. I really appreciate your videos.
I had an interesting experience in California - not CalTech. The professor used Jackson for undrgraduate E & M. I think this was an experiment and I don't know if he repeated it. Of course undergraduate physics majors would not have the mathematics background. But the professor essentially interpreted the material for undergraduates. The class would be taken by junior or senior level students, not freshman or sophomore level students. I was a senior mathematics major and had finished courses like real analysis. I was concurrently taking a graduate math course that included things like Legendre polynomials so I was happy as a clam with the choice of Jackson for E & M. I don't know if the physics majors were so keen on the book however. Of course the key was that Jackson was interpreted by the professor for undergraduates. If he had just lectured from Jackson, it would have been a disaster.
I took an undergraduate level string theory course at my university and worked through problems out of Barton Zwieback - A First Course in String Theory. I have a fuzzy memory of it being intuitive and well-written.
I got a few books on Differential Geometry today, so after hearing you say at 17:46 that it's not easy I got me a bit worried. I do like challenges though so I might enjoy it.
I think It has a reputation for being difficult and I never did it in too much depth, I hope you enjoy it
What's behind you
the principles of quantum mechanics by Paul A. M. Dirac. I still don't understand anything past the first two chapters, but a great book by a legend.
Recording this Kind of interviews in 360° would look much interesting.
Goethe University has a good UA-cam video in this format, really cool! ☺️👍🏼
[Studium Lehre Goethe-Universität]
What a nice topic! Thank you this is super cool for me. I really appreciate it
Thank you for sharing this.
Books for learning mathematics please!
Great videos. We have a series based on the book by Griffiths Quantum Mechanics!!