The Math You Need to Study Theoretical Physics!

Unrelated question, but I'm really curious about your name. Are you Indonesian by any chance?

Thanks man, good video. Physics is awesome, keep making more videos to educate the masses. Also, can you make a video on the nature of current and elaborate what it means for electrons to move across the conduction band of atoms. I am not a physics major, but I find it beautiful. Thanks man.

Since your title is "The Math You Need..." I expected that you would mention math topics such as calculus, algebra, and geometry and explain how they are significant for studying theoretical physics instead of the otherwise.

And, man, do you learn mechanics from Lev Landau's book? I read the "Classical Theory of Fields" and "Fluid Mechanics" of the series. But it didn't work. I think the series is more like summaries of materials in which readers are assumed to be experts, rather than doing a preliminary study. Books such as those written by David Griffiths give a much more intuitive approach.

I used to collect books such as Cambridge monographs of mathematical physics and Springer graduate text, but all of them are too advanced and abstract. Although it is great to be rigorous in math, I think it is better to start with a more intuitive approach.

Anyway, it is just my opinion. And if you disagree, I would be very happy to have a discussion.

Calculus is used to calculate the area of 2D curved shapes and next level calculus to calculate the volume of curved 3D shapes

CLASSICAL PHYSICS FIRST !
Vector field calculus and partial differential equation to get mechanics, electromagnetism, thermodynamics, deflexion mechanics etc. Matrix (rotation, unitary, diagonnalisation stuff), start to study quantum physics for single electron or scattering. Hard now: Fock states, more about operator for multi electron quantum physics. The rest (for QED) is not necessary, because it is false physics (standard model, QED, all of your shit in the university).

I am doing my bachelors physics first year and it is somehow going well.I hope i will finish and do masters in optics or quantum physics

Wow so helpful thank you!

I teach electrical engineering and I can say with a decade of experience of teaching engineering students, majority of them hate math and are really bad it. They just want plug and chug math, they do not want to derive anything but still want to "understand".

Why theoretical physics as it deals with numbers rather than laws.

Hi I am a mathematician (postdoc) and I was looking at physics just for fun in my spare time. What do you think about Susskind's books? I feel like they are really nice - you do not miss out on the math. For example I had two courses on Riemannian geometry and then his General relativity felt quite easy. On the other hand if one is not familiar with the math, he does great job to explain all the math you need. I guess the exercises are the only thing missing, but as I am not a student anymore I would not have time for them anyway. 😂

did you complete your phd? if so, why did you leave physics for finance?

Science needs more experiments than math

Hi, can you tell about the books or tips you followed to understand and solve problems in these topics? (Specially the subjects like Classical Mechanics and Quantum Mechanics)

I've 2 Math Degrees & currently starting a Masters.
IMO, Advanced Math is basically 3 broad divisions:

*Pure Math
*Applied Math
*Statistics

Of the 3, if u don't have a strong proficiency in the 'Applied', then Physics or any sub-division of it, will be a challenge.
Some Math programmes have an Engineering Math sequence as core /electives, do them to get the experience.
Of the topics mentioned, Linear Alg, Diff Eqs & Complex Analysis are the easiest topics.
ALL the Physics related disciplines are difficult....again IMO, but good luck to those brave to maybe make a switch....🤔

Great video

All Physics equations are technically Theoretical Physics. Even undergrad Physics textbook like University Physics with Modern Physics questions trains and prepares your brain for Theoretical Physics.

the variational principles of mechanics by cornelius lanczos good book

Excellent video! I'm studying Hopf Algebras for particle physics. Deep and profound how math sets the mood for physics. Both truths inextricably connected.

Physics has devolved into poor philosophy. Who needs such shit

Espace vectoriel, théorie des groupes, mechanic analytique: théorie quantique des champs (RR + mécanique quantique)

Thank you very much

VERY annoying music in the background

Von Neumann Algebra in group theory related to theoretical physics

I love how he said 'subscribe if you want'😂

Subscribed because you're genuine keep it up 🎉

No need, I have a theoretical degree in physics

Dunning krueger hitting hard with this one.

I'm on my 3 year undergrad and love quantum field theory so much(eventhough i discovered it by accident after taking third year class of introduction to particle physics in my second year lol). Maybe you can make some mind map of quantum field theory and their prerequisite. Thank you in advance

Could a single geometrical process square ψ², t², e², c², v² forming our mathematics?
We need to go back to r² and the three dimensional physics of the Inverse Square Law. Even back to the spherical 4πr² geometry of Huygens’ Principle of 1670. The Universe could be based on simple geometry that forms the potential for evermore complexity. Forming not just physical complexity, but also the potential for evermore-abstract mathematics.

considering the current concensus in physics. from people who have become the leaders in the field. and can do the math you say is required to become successful. cant explain the observable fact without needing to invent excuses for the contradictions. but me with only basic math, can come up with an idea that fits everything i can find and cant find anyone to give me a reason to dismiss the idea. that dosent require conforming to their beliefs based on their faith. why would i spend years and a small fortune studying the faith that cant offer a concise explanation.
i had the answer to the yang mils mass gap problem before i knew what it was. fluid dynamics. three body problem.
but i cant get people qualified to write the calculations to even consider it. unless i present the complete equasions.
i thought the scientific comunity was open to ideas. at least until they could find a reason to dismiss it. but it seems my lack of qualifications to have the idea is reason enough.
i challenge you to find a flaw. it should be easy. if it is wrong.

Great video❤

Hey, I don’t know if you reply to comments but I’ll give it a go.

Do I need to learn python for Cambridge’s Part III

I’m a student at OU and I want to go into the theoretical physics masters at Cambridge like you did but I may also not do a masters at all in the subject because of programming

You look exactly like a person who has a degree in theoretical physics!!

Get a big calculus text, and a Mathematical Methods text such as "Mathematical Methods in the Physical Sciences" by Mary L. Boas, "Mathematical Methods for Physicists" by George B. Arfken or "Advanced Engineering Mathematics" by Erwin Kreyszig. The Math Methods texts trade formal rigor for breadth of topics, but have extensive bibliographies when you need to get into the weeds.

"To use mathematics effectively in applications, you need not just knowledge but skill . Skill can only be obtained through practice.", from Mary Boas in "To The Student" of her "Mathematical Methods in the Physical Sciences". This is true for both applied (computational-oriented) and pure (theorem-proof oriented) courses. I always had to work through the derivations, examples and do all of the homework to "get it".

There are the 4 Food Groups of Physics: Classical Mechanics, Electromagnetism, Quantum Mechanics and Thermodynamics/Statistical Mechanics. Master the basics, then you will have a solid foundation to build upon for further study.

Thank you. Definitely like to know more. Whatever else you can add.

i want to pursue physics but im concerned i wont get a job and that it might be a bit lonely, whats your experience with that

I didn't see Stats of any sort in the undergrad xfer deg.

The worst thing that can happen is I will learn some Physics and use it in Drafting.
Best is Theorist.
I can't loose.

oh yeah and any doubt on Electronic Design need Physics go see Faranec - Fedevel PCB Design re: On board Antennas and modeling of.

Nice fall back. That was a Math Major that did that antenna modeling.

So it is moving into Physics.

Mech Designer instead great.
Snap Fit - guess what Physics Formula for that too
Pipes like Oil processing yep forces. Every field. Is a back-up if ya need it.

Don't worry. And my last over 6. I do have alot of training though.

Sorry to rant don't worry to much about jobs do well in Math & Physics.
Like my resume pulled a Electron Microscope Engineering position for MS ME, Physics, PhD preferred w/ less exp. like 1 yr who will do Drawings as well as Design work in Optics and other.
Defense stuff for PhD Physics in Engineering a plenty. Might want a slight slant toward industry somewhere. And it is as individual as you even art. Physicists have the darndest backrounds. Leonard Susskind has a Plumbing backround. Another is a Veteran and High Rise Painter. Rather comical how some of us arrive to Physics ! Paul Hewitt - He has a Book out and Teaches.

And then the Religious people come you dont believe.

And sometimes it's just better ya lie and say your an Engineering student. They'll leave that alone.

And when Physics is your knowledge Base ya have to have a tiny bit of compassion not to disturb others World View too much. Like ya know those 200 metal machined parts ya made before I arrived 1.5 mo. ago. Here's the error in all of them. lol. It took 3 times of telling and shop examination on the floor. And I was surprised there was no cussing. Yeah. That's how you know your performing. lmao.

The Designer came back to me 2 weeks later and goes, well let's hear it for CAD! lol !

Good Luck. Good Skill.

'Cause sometime they're going to need a hug.
And you can hand off to another. lol.

Give dude a hug.

A geodesic is not necessarily the shortest path, but the shortest path on a curved surface will always be a geodesic

Hey do you still indulge in this stuff? I can't see any new content/videos or blogs. Would love to have a conversation with you over physics theories one day 🤗

can you suggest some books or resources for it?