# Mathematics

Learn the arts of numbers, logical definitions, and constructed abstract structures, as well as their relationships to each other, which will help you better master physics.
Lesson
Level 1 (suitable for all)

## The 16 most Important Geometric Objects: Overview with Formulas and Properties

Illustrated overview of all geometric solids with important properties as well as formulas for areas, volumes and other quantities.

Video
Level 2 (without higher mathematics)

## Difference Between Partial and Total Derivative

Here you will learn by example what the difference is between the partial derivative and the total derivative.

Mathematical proof
Level 3 (with higher mathematics)

## First and Second Green's Identity

Proof of the two Green's identities (formulas) using the Gauss integral theorem, which are useful in the calculation of some electric potentials.

Video
Level 4 (for physics pros)

## Fourier Series. An Intuitive Explanation.

In this video you will learn what Fourier series / coefficients are and how to specify / calculate them for a function.

Content of the video
1. 00:00 Why Fourier series?
2. 01:08 The concept of Fourier series
3. 03:05 Fourier coefficients
4. 06:15 Fourier basis
5. 09:38 Example: Sawtooth function