22:11
But what is the Riemann zeta function? Visualizing analytic continuation
3Blue1Brown5.39M viewsVisualises the Riemann zeta function as a transformation of the complex plane and explains what analytic continuation actually means.
Science & Mathematics
785,248 videos · Physics, biology, chemistry, astronomy and the mathematics underneath them.
22:11
28:34But why would light "slow down"? | Visualizing Feynman's lecture on the refractive index
3Blue1Brown2.89M viewsExplains why light appears to slow down in glass and where the index of refraction comes from, building from driven oscillating charges.
10:04Matrix multiplication as composition | Chapter 4, Essence of linear algebra
3Blue1Brown4.5M viewsMatrix multiplication as composition of linear transformations, chapter 4 of Essence of Linear Algebra.
21:14The medical test paradox, and redesigning Bayes' rule
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9:59Linear combinations, span, and basis vectors | Chapter 2, Essence of linear algebra
3Blue1Brown7.62M viewsLinear combinations, span and basis vectors, chapter 2 of Essence of Linear Algebra.
23:01But what is a convolution?
3Blue1Brown3.8M viewsConvolution seen three ways: moving averages, polynomial multiplication and probability, ending with FFT-based fast convolution.
31:15But what is the Central Limit Theorem?
3Blue1Brown4.61M viewsWhat the central limit theorem actually says, its assumptions, and why sums of random variables tend to a bell curve.
34:41But what is a Laplace Transform?
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22:21Why do prime numbers make these spirals? | Dirichlet’s theorem and pi approximations
3Blue1Brown7.64M viewsStarts from a curious spiral pattern in plots of primes and uses it to explain residue classes, Euler's totient and Dirichlet's theorem on primes in arithmetic progressions.
21:36Fractals are typically not self-similar
3Blue1Brown4.56M viewsExplains fractal dimension and why most fractals are not perfectly self-similar, with coastlines and the Sierpinski triangle as examples.
31:51Visualizing the 4d numbers Quaternions
3Blue1Brown5.6M viewsBuilds intuition for quaternions by stereographic projection, working up from complex numbers to 4D rotations.
4:50
13.5 | If the concentrations of products and reactants are equal, is the system at equilibrium?
The Glaser Tutoring CompanyA 5-minute chemistry worked example from The Glaser Tutoring Company, solving exercise 13.5 of OpenStax Chemistry 2e step by step.
3:557.43 | How are single, double, and triple bonds similar? | If ELMO Was Your CHEMISTRY Teacher
The Glaser Tutoring CompanyA 4-minute chemistry worked example from The Glaser Tutoring Company, solving exercise 7.43 of OpenStax Chemistry 2e step by step.
5:489.43a | The effect of chlorofluorocarbons (such as CCl2F2) on the depletion of the ozone layer is
The Glaser Tutoring CompanyA 6-minute chemistry worked example from The Glaser Tutoring Company, solving exercise 9.43a of OpenStax Chemistry 2e step by step.
10:36
Magnetismo 4
KhanAcademyEspañolA 11-minute physics video from KhanAcademyEspañol covering Movimiento de una partícula cargada en un campo magnético, the section of OpenStax University Physics Volume 2 (Spanish edition) it is paired with.
7:018.33c | How are bonding orbitals and antibonding orbitals similar and how are they different?
The Glaser Tutoring CompanyA 7-minute chemistry worked example from The Glaser Tutoring Company, solving exercise 8.33c of OpenStax Chemistry 2e step by step.
Strange Spheres in Higher Dimensions - Numberphile
Numberphile767K viewsExplores the counter-intuitive behaviour of spheres packed in boxes in higher dimensions.
2:37
A Common Misconception about Newton's Third Law Force Pairs (or Action-Reaction Pairs)
Flipping PhysicsA 3-minute physics video from Flipping Physics covering Newton’s Third Law, the section of OpenStax University Physics Volume 1 it is paired with.
8:37
Reactions of Epoxides
Professor Dave ExplainsA 9-minute chemistry video from Professor Dave Explains covering Reactions of Epoxides: Ring-Opening, the section of OpenStax Organic Chemistry (McMurry) it is paired with.
6:537.29 | Use of hydrogen fusion to supply energy is a dream that may be realized in the next century.
The Glaser Tutoring CompanyA 7-minute physics worked example from The Glaser Tutoring Company, solving exercise 7.29 of OpenStax College Physics 2e step by step.
3:0322.14 | Viewers of Star Trek hear of an antimatter drive on the Starship Enterprise. One possibility
The Glaser Tutoring CompanyA 3-minute physics worked example from The Glaser Tutoring Company, solving exercise 22.14 of OpenStax College Physics 2e step by step.
5:22Transformación de Lorentz para cambio de coordenadas | Física | Khan Academy en Español
KhanAcademyEspañolA 5-minute physics video from KhanAcademyEspañol covering La transformación de Lorentz, the section of OpenStax University Physics Volume 3 (Spanish edition) it is paired with.
19:17Intuicion de Entropia
KhanAcademyEspañolA 19-minute chemistry video from KhanAcademyEspañol covering Entropía, the section of OpenStax University Physics Volume 2 (Spanish edition) it is paired with.
1:58
2-Minute Neuroscience: Pineal Gland
Neuroscientifically ChallengedA 2-minute neuroscience video from Neuroscientifically Challenged covering Where Are Rhythms in the Brain?, the section of OpenStax Introduction to Behavioral Neuroscience it is paired with.
5:03Límites unilaterales usando tablas | Khan Academy en Español
KhanAcademyEspañolA 5-minute math video from KhanAcademyEspañol covering Hallar los límites: enfoques numéricos y gráficos, the section of OpenStax Precalculus 2e (Spanish edition) it is paired with.
5:308.43c | Which one has the highest first ionization energy based on their orbital diagrams ? O or O2
The Glaser Tutoring CompanyA 6-minute chemistry worked example from The Glaser Tutoring Company, solving exercise 8.43c of OpenStax Chemistry 2e step by step.
15:59What is Terminal Velocity? How Do We Find It?
Flipping PhysicsA 16-minute physics video from Flipping Physics covering Drag Force and Terminal Speed, the section of OpenStax University Physics Volume 1 it is paired with.
1:582-Minute Neuroscience: Spina Bifida
Neuroscientifically ChallengedA 2-minute neuroscience video from Neuroscientifically Challenged covering Gastrulation and Formation of the Neural Tube (Neurulation), the section of OpenStax Introduction to Behavioral Neuroscience it is paired with.
6:33Graphing Conic Sections Part 2: Ellipses
Professor Dave ExplainsA 7-minute math video from Professor Dave Explains covering The Ellipse, the section of OpenStax Algebra and Trigonometry 2e it is paired with.
Pilot Wave Theory and Quantum Realism | Space Time | PBS Digital Studios
PBS Space Time1.88M viewsIntroduces de Broglie–Bohm pilot-wave theory, how it reproduces quantum mechanics, and its costs (non-locality).
2:002-Minute Neuroscience: Acetylcholine
Neuroscientifically ChallengedA 2-minute neuroscience video from Neuroscientifically Challenged covering Neurotransmitters Made from Fats, the section of OpenStax Introduction to Behavioral Neuroscience it is paired with.
8:347.33 | Correct the following statement: “The bonds in solid PbCl2 are ionic; the bond in a HCl
The Glaser Tutoring CompanyA 9-minute chemistry worked example from The Glaser Tutoring Company, solving exercise 7.33 of OpenStax Chemistry 2e step by step.
6:1321.27c | How does Ca-37 decay?
The Glaser Tutoring CompanyA 6-minute chemistry worked example from The Glaser Tutoring Company, solving exercise 21.27c of OpenStax Chemistry 2e step by step.
How Time Becomes Space Inside a Black Hole | Space Time
PBS Space Time2.45M viewsExplains how the roles of space and time swap inside a black hole's event horizon using Schwarzschild coordinates and light cones.
4:2414.3d | How does CH3CO2H act as a Brønsted-Lowry acid?
The Glaser Tutoring CompanyA 4-minute chemistry worked example from The Glaser Tutoring Company, solving exercise 14.3d of OpenStax Chemistry 2e step by step.
9:577.3 | Which of the following atoms would be expected to form negative ions in binary ionic compounds
The Glaser Tutoring CompanyA 10-minute chemistry worked example from The Glaser Tutoring Company, solving exercise 7.3 of OpenStax Chemistry 2e step by step.
Recommended books
- The Joy of x, Steven StrogatzSteven Strogatz's friendly tour of the big ideas in maths
- The Feynman Lectures on Physics (boxed set)The classic set of physics lectures, in print
- Campbell BiologyThe standard intro biology text
- The Gene: An Intimate History, Siddhartha MukherjeeSiddhartha Mukherjee's history of the gene
- Cosmos, Carl SaganThe classic tour of the universe and our place in it
- The Disappearing Spoon, Sam KeanSam Kean's stories behind the periodic table
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