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15,861,174 results
Correction: Universal Property of Quotients requires ker(f) to contain ker(pi) 0:00 Motivation 1:33 Basics in Category Theory 4:14 ...
65,098 views
1 year ago
A gentle introduction to the study of category theory and abstract algebra, done from the ground-up by exploring the mathematical ...
29,219 views
1 month ago
Category theory is an abstract branch of mathematics – but did you know it can be both fun, and extremely useful for everyday life ...
57,677 views
The President's Frontier Award was established with a $2.5 million donation from trustee Louis J. Forster. Forster helped design ...
38,735 views
3 years ago
You may have heard that a monad is a monoid in the category of endofunctors, but what does that actually mean? In this video ...
95,915 views
The entire field of mathematics summarised in a single map! This shows how pure mathematics and applied mathematics relate to ...
13,625,466 views
7 years ago
Please watch with subtitles. Errata noted in transcript and at bottom of description. Some content may require a little background in ...
30,420 views
The Lambda Calculus is a tiny mathematical programming language that has the same computational power as any language ...
97,113 views
9 days ago
Timestamps: 0:00 - The size of the monster 0:50 - What is a group? 7:06 - What is an abstract group? 13:27 - Classifying groups ...
3,008,246 views
Quanta Magazine's mathematics coverage in 2023 included landmark results in Ramsey theory and a remarkably simple ...
1,705,112 views
6 months ago
More mind-bending math from the world of the infinitely big - and infinitesimally small. More links & stuff in full description below ...
366,435 views
8 years ago
Dr. Eugenia Cheng is Scientist In Residence at the School of the Art Institute of Chicago. She won tenure in Pure Mathematics at ...
71,571 views
5 years ago
In this video, I give an introduction to my Ph.D. thesis topic. Our exploration revolves around a single operator: the Tarski ...
450 views
2 years ago
While the concept of infinity may seem mysterious, mathematicians have developed processes to reason the strange properties of ...
4,155,843 views
Dr. Paul Lessard and his collaborators have written a paper on "Categorical Deep Learning and Algebraic Theory of ...
80,751 views
2 months ago
In this video I have a lovely discussion with Dr. Emily Riehl about math, HoTT, infinity categories, and more! Dr. Riehl's site, with ...
8,793 views
For thousands of years, mathematicians have used the timeless art of logic to see the world more clearly. Today, truth is buried ...
192,920 views
Is math real? How to bake pi? And how much is x+y, really? Many people don't like math because they find it too complicated or ...
9,706 views
7 months ago
A singular humanization of the mathematical project.” —Booklist, starred review There are few who are brave enough to spar with ...
181 views
As computers are used more and more to confirm proofs, is it time to take computer science's contribution to mathematics further?
261,476 views