YouTube Mathematics Video Lectures

Hey everyone, this month I have a bunch of awesome mathematics video lectures from YouTube.

They include: Timothy Gowers's lecture on importance of mathematics. Category theory lectures. Chris Tisdell's Calculus Videos. Patrick JMT's Mathematics Video Lectures. UC Berkeley Statistics. An Amazing Normal Distribution Function Video. Interview with Victor Miller, the inventor of Elliptic Curve Cryptography. Knot Theory. Martin Gardner: The Nature of Things. Moebius Transformations Revealed.

And check out these three websites on famous scientists that my friend Thomas from Belgium created:

• Richard Feynman Video Lectures
• Carl Sagan Video Lectures
• Stephen Hawking Video Lectures

Timothy Gowers: The Importance of Mathematics

• Video by Timothy Gowers, Part I
• Video by Timothy Gowers, Part II
• Video by Timothy Gowers, Part III
• Video by Timothy Gowers, Part IV
• Video by Timothy Gowers, Part V
• Video by Timothy Gowers, Part VI
• Video by Timothy Gowers, Part VII
• Video by Timothy Gowers, Part VIII
  

Video description:
The Importance of Mathematics by Timothy Gowers at The Millennium Meeting (2000).


The Catsters' YouTube Channel

• Monads
• Adjunctions
• String Diagrams
• Natural Transformations
• Open-closed Cobordisms
• Distributive Laws
• Spans
• Double Categories
  
• Klein Bottle
• Monoid Objects
• Terminal and Initial Objects
• Products and Coproducts
• Adjunctions from Morphisms
• Coequalisers
• Representables and Yoneda

Video description:
All kinds of category theory videos. Visit TheCatsters YouTube channel for more.


Dr. Chris Tisdell's Calculus Videos

• Limit of a sequence
• Double integrals
• Chain rule
• Lagrange multipliers
• Line integrals
• Homogeneous first order ordinary differential equation
• Limit of a function
• Complex numbers
• Path integrals
• Multivariable calculus
• Curl of a vector field
• Laplace transform
• Fourier series

Video description:
Chris Tisdell's YouTube channel has all kinds of calculus videos.


Patrick JMT's Mathematics Video Lectures

• Properties of Logarithms
• The Quotient Rule
• Basic Integration Problems
• Solving Trigonometric Equations
• Taylor / Maclaurin Series for Sin(x)
• Solving Exponential Equations
• Recursive Sequences
• Sets: Union and Intersection
• The Simplex Method
• Systems of Linear Equations
• Graphing Equations by Plotting Points
• Solving Quadratic Inequalities
• Completing the Square
• Expected Value

Video description:
Math. Math. Math. Math. Thousands more math videos on Patrick's YouTube channel.


UC Berkeley Statistics 21

• UC Berkeley Statistics 21 Course
  

Course description:
Introductory Probability and Statistics for Business


An Amazing Normal Distribution Function Video

• Normal Distribution Video
  

Video description:
Oh wow.


Interview with Victor Miller, inventor of Elliptic Curve Cryptography

• Victor Miller Video Interview
  

Video description:
He invented Elliptic Curve Crypography.


Martin Gardner: The Nature of Things

• Nature of Things Video, Part I
• Nature of Things Video, Part II
• Nature of Things Video, Part III
• Nature of Things Video, Part IV
• Nature of Things Video, Part V
  

Video description:
The Nature of Things features an entire piece on Gardner, from his math buddies to the sleight-of-hand circles he frequented. Martin Gardner (born October 21, 1914 in Tulsa, Oklahoma) is in American Mathematics and a Science Writer, but with interests encompassing micromagic, stage magic, pseudoscience, literature (especially the writings of Lewis Carroll), philosophy, scientific skepticism and religion. He wrote the Mathematical Games column in Scientific American from 1956 to 1981 and he has published over 70 books.


Not Knot

• Knot Theory Video
  

Video description:
Not Knot is a guided tour into computer-animated hyperbolic space. It proceeds from the world of knots to their complementary spaces -- what's not a knot. Profound theorems of recent mathematics show that most known complements carry the structure of hyperbolic geometry, a geometry in which the sum of three angles of a triangle always is less than 180 degrees.


Moebius Transformations Revealed

• Mobius Transform Video

Video description:
A short film depicting the beauty of Moebius Transformations in mathematics. The movie shows how moving to a higher dimension can make the transformations easier to understand.


Have fun with these videos!


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