Advent of Mathematical Symbols

Here, you find my short advent calender about mathematical symbols. Each video introduces a symbol that one uses in mathematics. You can also download the pdf versions of the videos here.

Part 1

The first video is about the Kronecker Delta:


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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 $.


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Part 3 - Nabla-symbol

The next symbol is called Nabla and used for partial derivatives.


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Part 4 - Factorial

In the following video, we explain the common Factorial notation:


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Part 5 - Gamma Function

The Gamma Function is a generalisation of the last video:


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Part 6 - Composition

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


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Part 7 - Sum Symbol

The capital sigma we use to denote the sum symbol:


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Part 8 - Product Symbol

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


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Part 9 - Restriction

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


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Part 10 - Pauli matrices

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


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Part 11 - Set Brackets

Naturally a fundamental notation: set brackets.


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Part 12 - Big O

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


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Part 13 - Binomial Coefficient

Next, we look at the binomial coefficient


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Part 14 - Modulo

The modulo notation is important when you work with numbers.


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Part 15 - Beta Function

The next video is about the Beta function.


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Part 16 - Map Arrows

Also a fundamental notation is given by the map arrows.


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Part 17 - Little o

For some formulas the Little o notation is helpful.


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Part 18 - Outer Product

Next, let’s discuss the outer product.


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Part 19 - Euler’s Phi Function

Are you interested in Euler’s Phi Function


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Part 20 - Laplace Operator

The Laplace operator a very important object in differential equations.


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Part 21 - Convolution

Next symbol ist about the convolution


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Part 22 - Heaviside Function

Do you know the Heaviside function


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Part 23 - Quaternions

Let us talk about quaternions.


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Part 24 - Infinity

And finally the last video in this series is about infinity.


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Part 25 - Element Symbol


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Part 26 - Empty Set


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Part 27 - Subset Symbol


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Part 28 - Partial d


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Part 29 - D’Alembert Operator


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Part 30 - Inner Product


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Part 31 - Integral Symbol


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Part 32 - Closed Line Integral


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