Theorems in functional analysis
In mathematics, particularly functional analysis, James' theorem, named for Robert C. James, states that a Banach space is reflexive if and only if every continuous linear functional on attains its supremum on the closed unit ball in A stronger version of the theorem states that a weakly closed subset of a Banach space is weakly compact if and only if each continuous linear functional on attains a maximum on The hypothesis of completeness in the theorem cannot be dropped. (Wikipedia).
Calculus 5.3 The Fundamental Theorem of Calculus
My notes are available at http://asherbroberts.com/ (so you can write along with me). Calculus: Early Transcendentals 8th Edition by James Stewart
From playlist Calculus
Abstract Algebra | Lagrange's Theorem
We prove some general results, culminating in a proof of Lagrange's Theorem. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/
From playlist Abstract Algebra
Calculus - The Fundamental Theorem, Part 1
The Fundamental Theorem of Calculus. First video in a short series on the topic. The theorem is stated and two simple examples are worked.
From playlist Calculus - The Fundamental Theorem of Calculus
Cayley-Hamilton Theorem: General Case
Matrix Theory: We state and prove the Cayley-Hamilton Theorem over a general field F. That is, we show each square matrix with entries in F satisfies its characteristic polynomial. We consider the special cases of diagonal and companion matrices before giving the proof.
From playlist Matrix Theory
Proof of Lemma and Lagrange's Theorem
Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Proof of Lemma and Lagrange's Theorem. This video starts by proving that any two right cosets have the same cardinality. Then we prove Lagrange's Theorem which says that if H is a subgroup of a finite group G then the order of H div
From playlist Abstract Algebra
Calculus - The Fundamental Theorem, Part 5
The Fundamental Theorem of Calculus. How an understanding of an incremental change in area helps lead to the fundamental theorem
From playlist Calculus - The Fundamental Theorem of Calculus
We finally get to Lagrange's theorem for finite groups. If this is the first video you see, rather start at https://www.youtube.com/watch?v=F7OgJi6o9po&t=6s In this video I show you how the set that makes up a group can be partitioned by a subgroup and its cosets. I also take a look at
From playlist Abstract algebra
How does a statistical PROOF work?
Statistical hypothesis testing may appear to be an arcane procedure from a faraway galaxy… but what do we really do when we perform a hypothesis test? What does all its jargon mean? And once we perform this procedure, how much can we trust in its outcomes? Statistics is an integral part
From playlist Summer of Math Exposition Youtube Videos
6,000,000 and Abel Prize - Numberphile
Endre Szemerédi wins the mathematics equivalent of the Nobel Prize - the 2012 Abel Prize. He wins 6,000,000 Norwegian Kroner for his troubles. More links & stuff in full description below ↓↓↓ Featuring Dr David Hodge and Dr James Grime. A note from James about a mistake he made discussi
From playlist Related videos on other channels
The Blessings of Multiple Causes - David M. Blei
Seminar on Theoretical Machine Learning Topic: The Blessings of Multiple Causes Speaker: David M. Blei Affiliation: Columbia University Date: January 21, 2020 For more video please visit http://video.ias.edu
From playlist Mathematics
The history of Taylor Series and Maclaurin Series including the works of de Lagny, Halley, Gregory, and Madhava using primary sources whenever possible. Lesson also presents the Taylor Theorem along with visualizations of James Gregory's equations. Finally the video discusses the time peri
From playlist Numerical Methods
1 and Prime Numbers - Numberphile
Is 1 a prime number? Apparently not. Dr James Grime explains. More links & stuff in full description below ↓↓↓ James Grime's website is: http://singingbanana.com/ NUMBERPHILE Website: http://www.numberphile.com/ Numberphile on Facebook: http://www.facebook.com/numberphile Numberphile twe
From playlist James Grime on Numberphile
The square root of two is a fascinating number with a long and sordid history. It also forms the basis of most office paper, such as A4, A3, etc. More links & stuff in full description below ↓↓↓ This video features Professor Roger Bowley and Dr James Grime. NUMBERPHILE Website: http://w
From playlist James Grime on Numberphile
James Freitag, University of Illinois at Chicago
March 29, James Freitag, University of Illinois at Chicago Not Pfaffian
From playlist Spring 2022 Online Kolchin seminar in Differential Algebra
Conditions for MVT: table | Existence theorems | AP Calculus AB | Khan Academy
The mean value theorem applies to a function Ä over an interval [_,_] under the conditions that Ä is differentiable over (_,_) and continuous over [_,_]. See how we determine these conditions given a table. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacadem
From playlist Existence theorems | AP Calculus AB | Khan Academy
Primes are like Weeds (PNT) - Numberphile
The Prime Number Theorem shows that primes are like weeds, popping up everywhere! Dr James Grime explains --- Little bit extra cut from this video: http://youtu.be/TMRZYSQGAcw More links & stuff in full description below ↓↓↓ Our prime number video collection: http://bit.ly/primevids Fol
From playlist James Grime on Numberphile
Calculus - The Fundamental Theorem, Part 3
The Fundamental Theorem of Calculus. Specific examples of simple functions, and how the antiderivative of these functions relates to the area under the graph.
From playlist Calculus - The Fundamental Theorem of Calculus
Conjecturing Theorems in Euclidean Geometry
To learn more about Wolfram Technology Conference, please visit: https://www.wolfram.com/events/technology-conference/ Speaker: James Mulnix, Ian Ford, Dan McDonald, Nicolas Robles, Lin Cong Wolfram developers and colleagues discussed the latest in innovative technologies for cloud compu
From playlist Wolfram Technology Conference 2017
The Fundamental Theorem of Calculus | Algebraic Calculus One | Wild Egg
In this video we lay out the Fundamental Theorem of Calculus --from the point of view of the Algebraic Calculus. This key result, presented here for the very first time (!), shows how to generalize the Fundamental Formula of the Calculus which we presented a few videos ago, incorporating t
From playlist Algebraic Calculus One