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 - Kronecker Delta

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. We find the notation is the my video series about multivariable calculus again where we talk about gradients and directional derivatives.


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Part 4 - Factorial

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


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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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Part 33 - Natural Numbers


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Part 34 - Integers


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