@littmath As I come across this post, I am studying algebraic geometry and wondering whether sheaves can be visualized—or at least intuitively represented...
@FinitePhysicist Was it him who invited you to write, or did you submit it on your own initiative? The reason I ask is that I want to know whether the thoughts of ordinary people like me also have a chance to appear on his blog. @FinitePhysicist
@stevenstrogatz If I want to study the Navier–Stokes Equations Problem, what prerequisites do I need? Do you have any recommended books of the prerequisites?
@kareem_carr What programming languages would you recommend statistics students to learn? I'm guessing R or Python must be among them, but what else would you recommend?
Dear @littmath
Recently, Tao's post "A digestion of the Jacobian conjecture counterexample'' has drawn attention.
I'd like to ask: what is the digestion of the proof of Hilbert's third problem, from a modern geometric perspective?
I learn about it through ur Numberphile video :)
@Almost_Sure (Here by "variants" I mean the vector-valued CLT, complex CLT, Lindeberg CLT, Berry-Esseen theorem, and so forth.
And by "other methods" I mean the Lindeberg method, The moment method, the Stein’s method, and so forth).
FT remind me of the CLT, most textbooks prove it using Fourier analysis. Although it's not the only method. Why is the CLT and its variants so well-suited to proof via Fourier analysis? And what are the disadvantages of the Fourier approach compared to other methods? @Almost_Sure
Did you know that Fourier transforms can be viewed as a 90° rotation in the time-frequency domain and we can rotate by any angle via fractional Fourier transform.
The button at top right is the angle θ being applied
θ=π/2 is standard Fourier transform - a quarter turn
@stevenstrogatz@QuantaMagazine Just finished listening to this episode of the podcast, and the quality is as great as always! Looking back, the first time I found out about you was because of that episode with Terence Tao. It would be really nice if you could have him back on the show again someday!
Dear @stevenstrogatz
I feel so lucky to have read Infinite Powers before I ever touched calculus. This book is incredibly intuitive and full of insights!
I'll be taking Mathematical Modeling and Regression Analysis courses next semester. Could you recommend some textbooks?