A published Selection
Maths, shown rather than stated
10 videos, 2 h 54
10 videos that build calculus and linear algebra from pictures instead of rules. If school maths felt like memorising, start at the top.
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- 01
The essence of calculus
3Blue1Brown
Where calculus comes from, invented in front of you. The single best starting point.
- 02
The paradox of the derivative | Chapter 2, Essence of calculus
3Blue1Brown
What a derivative means at an instant, and why that phrase is slippery.
- 03
Derivative formulas through geometry | Chapter 3, Essence of calculus
3Blue1Brown
The standard derivative rules, each drawn as a shape.
- 04
What's so special about Euler's number e? | Chapter 5, Essence of calculus
3Blue1Brown
Why e turns up everywhere once you know what it is doing.
- 05
Limits, L'Hôpital's rule, and epsilon delta definitions | Chapter 7, Essence of calculus
3Blue1Brown
Limits and epsilon-delta made concrete instead of ceremonial.
- 06
Integration and the fundamental theorem of calculus | Chapter 8, Essence of calculus
3Blue1Brown
Why derivatives and areas are the same question asked backwards.
- 07
Taylor series | Chapter 11, Essence of calculus
3Blue1Brown
Taylor series as a way of copying a function near a point.
- 08
Vectors | Chapter 1, Essence of linear algebra
3Blue1Brown
Start of linear algebra: what a vector is before any matrix appears.
- 09
But what is the Central Limit Theorem?
3Blue1Brown
Why so many different things end up shaped like a bell curve.
- 10
Mile of Pi - Numberphile
Numberphile
A mile of printed digits of pi, laid out on a runway. Silly and memorable.
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