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:
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.
Part 17 - Little o
For some formulas the Little o notation is helpful.
Part 18 - Outer Product
Next, let’s discuss the outer product.
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.
Part 21 - Convolution
Next symbol ist about the convolution
Part 22 - Heaviside Function
Do you know the Heaviside function
Part 23 - Quaternions
Let us talk about quaternions.
Part 24 - Infinity
And finally the last video in this series is about infinity.
Part 25 - Element Symbol
Part 26 - Empty Set
Part 27 - Subset Symbol
Part 28 - Partial d
Part 29 - D’Alembert Operator
Part 30 - Inner Product
Part 31 - Integral Symbol
Part 32 - Closed Line Integral
Part 33 - Natural Numbers
Part 34 - Integers
