March ?, 2020. Stuff

Contents

1. The binomial approximation
   1. Expand and conquer
   2. Small angles
   3. Relativity
   4. More maths!*
2. Exponentials
   1. Compound interest
   2. Small changes
   3. TBA
   4. Even more maths!*
3. Geometric series
   1. Zeno’s Paradox
   2. TBA
   3. Fractals
4. Summing natural numbers
   1. Wait, what?
   2. The Casimir effect
   3. String theory

1. The binomial approximation

1.1. Expand and conquer

Binomial expansion.

1.2. Small angles

1.3. Relativity

1.4. More maths!*

Approximating powers.

Higher terms.

2. Exponentials

2.1. Compound interest

2.2. Small changes

2.3. Application TBA

2.4. More maths!*

3. Geometric series

3.1. Zeno’s Paradox

3.2. TBA

3.3. Fractals

Cantor set, Koch star

Measure of rationals.

http://www.math.niu.edu/~richard/Math302/ch1sec5.pdf

4. Summing natural numbers

4.1. Wait, what?

4.2. The Casimir effect

4.3. String theory