Mathematics is the science that deals with the logic of shape, quantity and arrangement. Math is all around us, in everything we do. It is the building block for everything in our daily lives, including mobile devices, architecture (ancient and modern), art, money, engineering, and even sports.

Since the beginning of recorded history, mathematic discovery has been at the forefront of every civilized society, and in use in even the most primitive of cultures. The needs of math arose based on the wants of society. The more complex a society, the more complex the mathematical needs. Primitive tribes needed little more than the ability to count, but also relied on math to calculate the position of the sun and the physics of hunting.

### Random walks and marketing optimization

A short graph analytical proof that highly connected touchpoints lead to a higher conversion rate.

### Stochastic integrals via R

The rules for random things are somewhat different than the ones you know for 'smooth' things. In a university course you get proofs based on Martingales, Wiener measures and whatnot but it all can feel very abstract. Even the basic examples can be confusing. So, here I want to show you that without knowing any high-tech maths you can see from basic examples in R how and that it works.

### Monads (with snippets in R and Swift)

The literature and information around monads and categories is sometimes confusing because it has many aspects and depending on the background many overlapping or equivalent terms are used.

### Binary tree with arcs

Where art and mathematics meet.

### Option pricing and Black-Scholes

As simple as can be but many authors use incorrect terminology in deriving the Black-Scholes equation.