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数学及其应用
https://youtu.be/hBcWRZMP6xs
YouTube
Walter B. Rudin: "Set Theory: An Offspring of Analysis"
Prof. Walter B. Rudin presents the lecture, "Set Theory: An Offspring of Analysis." Prof. Jay Beder introduces Prof. Dattatraya J. Patil who introduces Prof. Walter B. Rudin in the second Marden Lecture at UWM.
数学及其应用
https://www.youtube.com/live/lUUte2o2Sn8
YouTube
Gil Strang's Final 18.06 Linear Algebra Lecture
Speakers: Gilbert Strang, Alan Edelman, Pavel Grinfeld, Michel Goemans
Revered mathematics professor Gilbert Strang capped a 61-year career as a faculty member at MIT by delivering his final 18.06 Linear Algebra lecture before retiring at the age of 88.…
数学及其应用
https://youtu.be/2tfdMJNKcL8
YouTube
Stable hypersurfaces with prescribed mean curvature -Costante Bellettini
Variational Methods in Geometry Seminar
Topic: Stable hypersurfaces with prescribed mean curvature
Speaker: Costante Bellettini
Affiliation: Princeton University; Member, School of Mathematics
Date: April 2, 2019
For more video please visit http://video.ias.edu
数学及其应用
https://www.quantamagazine.org/a-plan-to-address-the-worlds-challenges-with-math-20230511/
Quanta Magazine
A Plan to Address the World’s Challenges With Math
Minhyong Kim is leading a new initiative called Mathematics for Humanity that encourages mathematicians to apply their skills to solving social problems.
数学及其应用
https://youtu.be/ta6Q70y6YVU
YouTube
Luis Caffarelli, Navier-Stokes existence and smoothness
2001 University of Texas Lectures on the Millennium Problems
数学及其应用
https://youtu.be/7ne0GArfeMs
YouTube
Terence Tao: The Cosmic Distance Ladder, UCLA
AMS Einstein Public Lecture in Mathematics: Terence Tao is UCLA's Collins Professor of Mathematics, and the first UCLA professor to win the prestigious Fields Medal. Less than a month after winning the Fields Medal, Tao was named a MacArthur Fellow. The following…
数学及其应用
https://www.quantamagazine.org/infinite-patterns-appear-in-numbers-described-as-moving-systems-20221205/
Quanta Magazine
From Systems in Motion, Infinite Patterns Appear
Mathematicians are finding inevitable structures in sufficiently large sets of integers.
数学及其应用
https://terrytao.wordpress.com/about/ai-generated-versions-of-the-ai-anthology-article/
What's new
AI-generated versions of the AI anthology article
GPT-4 generated article After giving GPT-4 the parameters of the article – namely, to answer the questions of how might AI technology and its successors contribute to human flourishing, and h…
数学及其应用
https://youtu.be/tXhtYsljEvY
YouTube
Difficulties with real numbers as infinite decimals ( I) | Real numbers + limits Math Foundations 91
There are three quite different approaches to the idea of a real number as an infinite decimal. In this lecture we look carefully at the first and most popular idea: that an infinite decimal can be defined in terms of an infinite sequence of digits appearing…
数学及其应用
https://youtu.be/hGT_W0y1pWc
YouTube
The Arnold conjecture via Symplectic Field Theory polyfolds -Ben Filippenko
Symplectic Dynamics/Geometry Seminar
Topic: The Arnold conjecture via Symplectic Field Theory polyfolds
Speaker: Ben Filippenko
Affiliation: University of California, Berkeley
Date: April 1, 2019
For more video please visit http://video.ias.edu
数学及其应用
https://www.nytimes.com/2023/07/02/science/ai-mathematics-machine-learning.html
NY Times
A.I. Is Coming for Mathematics, Too
For thousands of years, mathematicians have adapted to the latest advances in logic and reasoning. Are they ready for artificial intelligence?
数学及其应用
https://youtu.be/H8xBlLWdzBE
YouTube
Algebraic number theory and rings I | Math History | NJ Wildberger
In the 19th century, algebraists started to look at extension fields of the rational numbers as new domains for doing arithmetic. In this way the notion of an abstract ring was born, through the more concrete examples of rings of algebraic integers in number…
数学及其应用
https://youtu.be/uzJXeluCKMs
YouTube
Chaos Theory: the language of (in)stability
The field of study of chaos has its roots in differential equations and dynamical systems, the very language that is used to describe how any physical system evolves in the real world. This video aims to tell the story of chaos step by step, from simple non…
数学及其应用
https://youtu.be/OyrTAIgeP4A
YouTube
Euclidean and Algebraic Geometry, David Cox [2014]
Slides for this talk: https://drive.google.com/file/d/1s87shlFPPVolx1dV7H4CBc1DjDrh0piR/view?usp=sharing
David Cox
Amherst College
This talk will survey some examples, mostly geometric questions about Euclidean space, where the methods of algebraic geometry…
数学及其应用
https://youtu.be/-aEF1p7yS3A
YouTube
The Shaw Prize in Mathematical Sciences 2018 (with English Subtitle)
Born in Argentina, Professor Luis Caffarelli has made history by becoming one of the greatest mathematicians with roots in South America. Watch below as Professor Caffarelli talked about his time in Buenos Aires, his journey to the North, the love story between…
数学及其应用
https://people.math.harvard.edu/~knill/mathmovies/
people.math.harvard.edu
Mathematics in Movies
Scenes in Movies in which some Mathematics appears
数学及其应用
https://www.quantamagazine.org/long-sought-math-proof-unlocks-more-mysterious-modular-forms-20230309/
Quanta Magazine
Long-Sought Math Proof Unlocks More Mysterious ‘Modular Forms’ | Quanta Magazine
Using “refreshingly old” tools, mathematicians resolved a 50-year-old conjecture about how to categorize important functions called modular forms, with consequences for number theory and theoretical physics.
数学及其应用
https://docs.google.com/forms/d/e/1FAIpQLSfQgW8wB4S9GTE46VpnhYLvWWy4f5tQJsIJXUkGylyUR3MmhA/viewform
Google Docs
Global Mathematics Professional Learning Network
A group of us are starting a new initiative in the fall: the Global Math Professional Learning Network. In this online group, you will choose topics for professional development that interest you, and we will help you to find a group of other math teachers…
数学及其应用
https://youtu.be/6mG9HG4lfgI
YouTube
Minerva Lectures 2013 - Terence Tao Talk 1: Sets with few ordinary lines
For more information please visit: http://math.princeton.edu/events/seminars/minerva-lectures/minerva-lecture-i-sets-few-ordinary-lines
数学及其应用
https://mathoverflow.net/questions/451991/who-was-the-first-to-propose-a-formal-definition-of-infinity/
MathOverflow
Who was the first to propose a formal definition of infinity?
In a recent Quanta article about the 9th Dedekind number, Dedekind is credited with the first formal definition of infinity.
Is this an accurate attribution?
Folklore where I’m from dictates that...
2025/06/15 18:53:38
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