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Silica sand is a magical thing in the universe people should know

Silica sand is a magical thing in the universe

Silica sand is a magical thing in the universe

Slica sand is a magical thing

Silica sand

Leaves writing sand

i highly recommend R.Klauber Student friendly Quantum field theory. This book is the best for qft, i have ever seen in my life. 1) qft for quantum electrodynamics 2) Standard Model (electroweak,strong interaction)

I think "Dynamical Systems" has become fundamental in studying any subject in mathematics, physics, and even economics. Especially, there is an emerging science of Complex Systems, and it is the key to understanding it.

What is your research field?

I know the channel, it has great animations!

🔥🔥

Talagrand is not entirely correct saying that the path integral is not mathematically well-defined (at least in Euclidean signature, from which the Minkowski space theory can be recovered via Wick rotation, cf. Osterwalder-Schrader theorem). In spacetime dimensions 2 and 3, models like the Phi4 theory have been constructed with a path integral approach in full mathematical rigour, see e.g. the (rigorous mathematics) textbooks "Quantum physics: a functional integral point of view" by Glimm--Jaffe or "The P(Phi)2 Euclidean (Quantum) Field Theory" by Barry Simon. There are also results on fermions and gauge theories. It is however true that in 4 dimensions in infinite volume no interacting theory has been fully constructed yet in a non-perturbative way mathematically rigorously, but experts do believe this should be possible and that the resulting construction will be closely related to the path integral formalism. In fact, the Yang-Mills existence and mass gap problem is formulated in terms of the Osterwalder--Schrader axioms, which is intimately connected to path integrals. It is absolutely not the case that path integrals are mathematical nonsense, they just need nontrivial work to be well-defined and it is an open research problem in mathematics how this should be done in d=4.

In my university we used Vasy’s book on PDEs for our partial differential equations class in undergraduate studies and went through all of it. It covers things that you don’t typically see in other books (distributions, tempered distributions, sobolev spaces etc)

In my university we used Vasy’s book on PDEs for our partial differential equations class in undergraduate studies and went through all of it. It covers things that you don’t typically see in other books (distributions, tempered distributions, sobolev spaces etc)

What book is this?

Two very nice books but I think written for different audiences or readers. Arnold's work is highly mathematical so one would need strong math background to fully understand it. Vladimir Arnold was one of the top students of the great Andrey Kolmogorov. Herb Goldstein and co-authors are physicists.

Funny I've just bought Arnold's this week.

this is a goated video, thank you for posting it mb 🙏

0:01 Peskin & Schroeder - An Introduction to Quantum Field Theory 0:44 Schwartz - Quantum Field Theory and the Standard Model 1:43 Talagrand - What Is a Quantum Field Theory? 2:45 Tong - Lectures on Quantum Field Theory (available online U of Cambridge website) 2:50 Srednicki - Quantum Field Theory

⌚️ this im gonna trigger an old bell....Bohmian field theory

keep it up brow

I hate math and just watching the names has scared me😢

Great now you have to make a video review for each of those books 😂

Re Reasoning for Michael Steele being the best mathematician in the world: Nothing wrong with an appeal to a qualified authority 😅

What is the need to learn PDEs?

What percentage of the books would you say you have gone through cover to cover?

Nice collection but i think you mispronounced autors names.

Can you make the room lighter

Can you a video of what is inside the Talagrand book

so disappointing. first sqrt(12) = 2*sqrt(3), then it is enough to show that for all primes p, sqrt(p) is irrational, which is done via exactly the same proof. this way, for any number that's not a perfect square, after factorizing, the proof almost holds without any change. basically 25 minutes to show sth for the number 12, which one could prove in 3 minutes for any not perfect square. will there be a video about sqrt(18)?

I personally studied through Peskin the fact that solution sheet exists really helped.

Nice! I would have liked to see your chess books too. 😄

There have been several formalizations of the path integral, check out the book "Mathematical Feynman Path Integrals and their Applications"

Great video! What are the math prerequisites for quantum field theory? Thanks 🙏🙏🙏

Wonderful

Do you know anything about Topological Quantum Field Theory? I mean the mathematical Theory, any suggestions ?

God, you are so far ahead of me, that I thought you were already a graduate student. It's a little discouraging to know that we are basically in the same place academically, yet you know so much more than I do. But yeah, I figured out a long time ago what my limits are and pushing myself past them negatively effects my learning. As someone on the autism spectrum, I've always hated juggling classes because I tend to obsess over what I'm currently working on and I have a hard time transitioning from one thing to the next. Maybe that will be a good thing in the long run but it led to me getting a pretty mediocre gpa as an undergrad. Despite grad school being harder, I think It'll be so nice only taking 2-3 classes at time, as opposed to 4 or 5. I would rather take one class and master the material than take 4 classes and only come out of each of them with a shallow understanding.

You’re killing it with these book reviews

Michel Talagrand is a top-class mathematician and the 2024 Abel Prize winner!

Very nice sir.

WHATS THE BEST PRACTICAL CALCULUS TEXTBOOKS CALCULUS , STEWART CALCULUS , LARSON CALCULUS, THOMAS MULTIVARIABLE CALCULUS, LARSON THANK YOU

Introduction to Applied Nonlinear Dynamics and Chaos by Stephen Wiggins is fantastic.

Great collection. I used _Topology Now!_ in grad school.

Wow you have such a nice collection of mathematics and physics books. Where do you get these book from generally and are majority of them used/library issue?

"Electrodynamics of Continuous Media" A Course of Theoretical Physics, Vol. #8 by Landau & Lifshitz is a great read and puts a lot of pieces together: electromagnetism, condensed matter and thermodynamics. I haven't read all of them, but this is my favorite volume in the series.

"Modern Electrodynamics" by Andrew Zangwill It's on the level of Jackson's "Classical Electrodynamics" without the sharp edges. The selection of examples and problems are varied and very physics-oriented.

The only thing I don't like is why you feel the need to put music which is too distracting for some people(me). I have to concentrate way harder just to understand you, aka incidental complexity, incidental obstacles for some learners like me who do not have English as their first language and have to concentrate way harder to follow you especially when you use math jargon.

Vladimir Igorevich Arnold 😍

Hello good sir, i also have a proof by contradiction which i have learnt in school. Let √12 be rational = It must be in the form of p/q where p and q are co primes. Squaring both sides 12= p2/q2 12q2= p2 = 12 divides p2 and p Now let p= 12t for any integer t Substituting p=12t above 12q2= 144t2 =q2 = 12t2 = 12 divides q2 and q Hence 12 is common factor of p and q But this contradicts the fact that p and q are co primes So, our assumption was wrong Hence √12 is irrational