Have you read Cedric Villani - Birth of A Theorem? If you have I'd love to hear any opinions you might have. The mathematics in the book is incredibly complex so as a non-mathematician I had to skip them, but it would be interesting to know what a Math PHD might think of them. It's a book about Villani's process working on the theorem that won him a fields medal, something involving "nonlinear landau damping".
How to understand math purely analytically without recourse to a visual aid such as a graph, or a physical situation where it can be applied? How does one get good at pure hardcore formal math? Please relpy
@aron8999 's got it. Understanding most abstract mathematics areas comes down to some maturity in one's set theoretic knowledge. Even when they are encoded in a rigorous set theoretic context, the "visuals" are still helpful and worth exploring/understanding.
The more you work in a specific subject in math, the better you get at "visualizing" stuff in that subject matter. It's kind of like being in a dark room; eventually your eyes just adjust and things become more clear, but you have to sit in the dark room for awhile and be completely lost for a bit first. So if you begin to work in a subject that doesn't have a lot of great visual aids, you'll eventually build up an intuition on how else to think of it the more you work in that particular subject, even though it may be very confusing in the beginning.
Your channel is very helpful for someone going into their senior year of undergrad and staring down starting grad school next year!
I'm glad you're getting some value out of it! Hopefully app season isn't too stressful!
It's so fun that you're finally doing dissertation hours! I can't wait to start that
It is definitely a totally different animal than quals were!
Sorry to hear about the parasocial issue. Glad the projects are going well. Can't wait to see the new experiments orbin depth dives you make.
At this point, it's for the plot.
Dude you are super smart and awesome!!! I’m having trouble understanding what’s in the different formulas. Keep preaching my dude!!!
It took me some time to understand the video's title!
Head has returned to book 📚🤓📚
Have you read Cedric Villani - Birth of A Theorem? If you have I'd love to hear any opinions you might have. The mathematics in the book is incredibly complex so as a non-mathematician I had to skip them, but it would be interesting to know what a Math PHD might think of them. It's a book about Villani's process working on the theorem that won him a fields medal, something involving "nonlinear landau damping".
I have not 😅
Hi. Good to see your video. Can you calculate where aliens most likely harness their energy from? Planet, Sun, Galaxy?
Lemme go check if mercury is in retrograde
Are you going to the SIAM conference in November in Louisiana
I am a theoretical math man so most likely not.
How to understand math purely analytically without recourse to a visual aid such as a graph, or a physical situation where it can be applied? How does one get good at pure hardcore formal math? Please relpy
Start with some set theory and work upwards.
@aron8999 's got it. Understanding most abstract mathematics areas comes down to some maturity in one's set theoretic knowledge. Even when they are encoded in a rigorous set theoretic context, the "visuals" are still helpful and worth exploring/understanding.
The more you work in a specific subject in math, the better you get at "visualizing" stuff in that subject matter. It's kind of like being in a dark room; eventually your eyes just adjust and things become more clear, but you have to sit in the dark room for awhile and be completely lost for a bit first. So if you begin to work in a subject that doesn't have a lot of great visual aids, you'll eventually build up an intuition on how else to think of it the more you work in that particular subject, even though it may be very confusing in the beginning.
@@aron8999 thanks. what are some nice introductory books /online resources on the subject suitable for self study.
@@apotatomaybetwo great analogy. makes a lot of sense
did someone stalk you in real life or something? Also interesting to hear about the fractal stuff!
*promo sm* 💖