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数学及其应用
https://youtu.be/GL0iNlSkQ3k
YouTube
Peter Scholze - Closing lecture, Arizona Winter School 2017: Perfectoid Spaces
Slides for this talk:
http://swc-alpha.math.arizona.edu/video/2017/2017ScholzeClosingSlides.pdf
Video taken from:
http://swc.math.arizona.edu/aws/2017/index.html
数学及其应用
https://youtu.be/7Sr_pMbqgsE
YouTube
Maths Sheep Play Sheep
David reads aloud the picture book "Maths Sheep Play Sheep" he made in honour of Children's Book Week 2023, inspired by "Where is the Green Sheep?" by Mem Fox and Judy Horacek. A PDF file of the book can be found here: https://drive.google.com/file/d/1-s…
数学及其应用
https://buttondown.email/j2kun/archive/thoughts-about-what-worked-in-math-circles/
buttondown.email
Thoughts about what worked in math circles
Thoughts about what worked in math circles After about 7 months of math circles with a group of 7- turning 8-year-old boys and girls, I decided to take a...
数学及其应用
https://maa.org/programs-and-communities/member-communities/maa-awards/writing-awards/euler-book-prize
数学及其应用
https://youtu.be/3l1RMiGeTfU
YouTube
When Computers Write Proofs, What's the Point of Mathematicians?
Andrew Granville knows that artificial intelligence will profoundly change math. The programming language Lean already plays a role in theorem proving. That's why the University of Montreal number theorist has started talking to philosophers about the nature…
数学及其应用
https://youtu.be/FQYOpD7tv30
YouTube
The Mathematician's Weapon | Category Theory and Why We Care 1.0
A gentle introduction to the study of category theory and abstract algebra, done from the ground-up by exploring the mathematical weapon of abstraction.
This video aims to give an overview of the fundamental tool at the forefront of pure mathematical research:…
数学及其应用
https://youtube.com/playlist?list=PLUl4u3cNGP61iQEFiWLE21EJCxwmWvvek
数学及其应用
https://youtu.be/ZRca3Ggpy_g
YouTube
What is Lie theory? Here is the big picture. | Lie groups, algebras, brackets #3
Part 4: https://youtu.be/9CBS5CAynBE
A bird's eye view on Lie theory, providing motivation for studying Lie algebras and Lie brackets in particular.
Basically, Lie groups are groups and manifolds, and thinking about them as manifolds, we know that we want…
数学及其应用
https://www.quantamagazine.org/inside-the-secret-math-society-known-as-nicolas-bourbaki-20201109/
Quanta Magazine
Inside the Secret Math Society Known Simply as Nicolas Bourbaki
For almost a century, the anonymous members of Nicolas Bourbaki have written books intended as pure expressions of mathematical thought.
数学及其应用
https://youtu.be/TfYZZ8FXwBU
数学及其应用
https://youtu.be/iPTE0s875CY
YouTube
Part 1 Quantum Singleton bound and consequences | Jeongwan Haah (Microsoft Research)
Topological aspects of quantum codes
Lecture notes /Problem set 1 Quantum Singleton bound and consequences
https://www.ias.edu/sites/default/files/Lecture%201%20Quantum%20Singleton%20bound%20and%20Bravyi-Poulin-Terhal%20bound.pdf
Perhaps the most important…
数学及其应用
https://youtu.be/NQM0XNxSkus
YouTube
A crash course in Algebraic Number Theory
A quick proof of the Prime Ideal Theorem (algebraic analog of the Prime Number Theorem) is presented.
In algebraic number theory, the prime ideal theorem is the number field generalization of the prime number theorem. It provides an asymptotic formula for…
数学及其应用
https://youtu.be/MZWhr1_VOEM
YouTube
Dimension of the stationary measure for random matrix products in SL2(ℝ) - Michael Hochman
Analysis Seminar
Topic: Dimension of the stationary measure for random matrix products in SL2(ℝ)
Speaker: Michael Hochman
Affiliation: Einstein Institute of Mathematics
Date: April 18, 2019
For more video please visit http://video.ias.edu
数学及其应用
https://youtu.be/td7Nz9ATyWY
YouTube
The Concept So Much of Modern Math is Built On | Compactness
Go to https://brilliant.org/Morphocular to get started learning STEM for free. The first 200 people get 20% off an annual premium subscription.
Compactness is one of the most important concepts in Topology and Analysis, but it can feel a little mysterious…
数学及其应用
https://youtu.be/X2p5eMWyaFs
YouTube
Day 2 - The notorious Collatz conjecture - Terence Tao
at Liceo Scientifico Galileo Ferraris
数学及其应用
https://youtu.be/4dyytPboqvE
YouTube
The Langlands Program - Numberphile
Professor Edward Frenkel discusses the famed Langlands Program - "a kind of grand unified theory of mathematics". More links & stuff in full description below ↓↓↓
Edward Frenkel is a professor of mathematics at the University of California, Berkeley - h…
数学及其应用
https://youtu.be/htTL0VvfsvM
YouTube
Jacob Lurie - Bezout's theorem and nonabelian homological algebra (Derived algebraic geometry)
An accessible lecture by Jacob Lurie from about 2005.The motivations behind derived algebraic geometry are presented, starting with Bezout's theorem for inte...
数学及其应用
https://en.wikipedia.org/wiki/Integration_Bee
Wikipedia
Integration Bee
Annual integral calculus competition
数学及其应用
https://youtu.be/oDyviiN4NVo
YouTube
Grant Sanderson (3Blue1Brown) - Past, Present, & Future of Mathematics
I had a lot of fun chatting with Grant Sanderson (who runs the excellent 3Blue1Brown YouTube channel) about:
- Whether advanced math requires AGI
- What careers should mathematically talented students pursue
- Why Grant plans on doing a stint as a high school…
数学及其应用
https://youtu.be/szMaPkJEMrw
YouTube
Padé Approximants
In this video we'll talk about Padé approximants: What they are, How to calculate them and why they're useful.
Chapters:
0:00 Introduction
0:33 The Problem with Taylor Series
2:11 Constructing Padé Approximants
4:50 Why Padé Approximants are useful
5:45…
2024/06/01 04:41:46
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