#### Part 1 - Kronecker Delta

The first video is about the Kronecker Delta:

#### Part 2 - Levi-Civita Symbol

Let’s continue with the related Levi-Civita Symbol, which can be used to describe the cross product in $\mathbb{R}^3$.

#### Part 3 - Nabla-symbol

The next symbol is called Nabla and used for partial derivatives. We find the notation is the my video series about multivariable calculus again where we talk about gradients and directional derivatives.

#### Part 4 - Factorial

In the following video, we explain the common Factorial notation. It is used in a lot of mathematical contexts.

#### Part 5 - Gamma Function

The Gamma Function is a generalisation of the last video:

#### Part 6 - Composition

For denoting the composition for functions, we use a special symbol:

#### Part 7 - Sum Symbol

The capital sigma we use to denote the sum symbol:

#### Part 8 - Product Symbol

Moreover, the Greek capital Pi is used for the product symbol:

#### Part 9 - Restriction

Do you know the symbol for the restriction of a function?

#### Part 10 - Pauli matrices

Some matrices you see in physics a lot: Pauli matrices.

#### Part 11 - Set Brackets

Naturally a fundamental notation: set brackets.

#### Part 12 - Big O

The Big O notation is used in a lot of formulas.

#### Part 13 - Binomial Coefficient

Next, we look at the binomial coefficient

#### Part 14 - Modulo

The modulo notation is important when you work with numbers.

#### Part 15 - Beta Function

The next video is about the Beta function.

#### Part 16 - Map Arrows

Also a fundamental notation is given by the map arrows. This is a notation that is used throughout mathematics. Please note that different arrows are used for the different levels.

#### Part 17 - Little o

For some formulas the Little o notation is helpful.

#### Part 18 - Outer Product

Next, let’s discuss the outer product. This is a special symbol, which is also used in other contexts. However, the outer product is the simplest one of the usages.

#### Part 19 - Euler’s Phi Function

Are you interested in Euler’s Phi Function

#### Part 20 - Laplace Operator

The Laplace operator a very important object in differential equations. It is given by second-order partial differential operators.

#### Part 21 - Convolution

Next symbol ist about the convolution

#### Part 22 - Heaviside Function

Do you know the Heaviside function? It is a function that has one heavy side but the name comes from the famous mathematician Heaviside.

#### Part 24 - Infinity

And finally the last video in this series is about infinity. A symbol that is used for a lot of different contexts. However, one can also calculate with it, in some sense.

#### Part 25 - Element Symbol

This is one of the most often used symbols in mathematics. It originated from a lowercase epsilon and it simply describes the set-element relation.

#### Part 26 - Empty Set

Talking about sets: there is a very special set that just describes nothingness.

#### Part 27 - Subset Symbol

In mathematics, we imagine that sets are collections of objects and such collections can be compared. The usual and natural way is to do that with the subset notation.

#### Part 28 - Partial d

The next symbol is very special one. It does not use a character from an alphabet but is somehow a deformed d or lowercase delta. It’s always used to denote partial derivatives such one common name is partial d but a lot of people call it and pronouce it del.

#### Part 29 - D’Alembert Operator

This symbol looks like a box and it’s often used in physics and in mathematics for partial differential equations.

#### Part 30 - Inner Product

This is an important construction for giving a geometry to different spaces. Especially in Quantum Mechanics, this notation got popular.

#### Part 31 - Integral Symbol

Ah, the integral symbol. One of the symbols that really calls for a mathematician. However, essentially, it’s just a stylized S but now with a lot of meaning in different fields of mathematics.

#### Part 32 - Closed Line Integral

This is a special notion for an integral that is often used in complex analysis and vector analysis.

#### Part 33 - Natural Numbers

If you start learning mathematics, you immediately learn about sets and the set of natural numbers is the first infinite set in this introduction.

#### Part 34 - Integers

Let’s finish this series with integers, a set that shows that even an infinite set as the natural numbers can be extended in a natural way.