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.

Introduction

The first video is about the Kronecker Delta:


Watch video on YouTube PDF Version Quiz


Let’s get started

Let’s continue with the related Levi-Civita Symbol.


Watch Advent of Mathematical Symbols Part 2 PDF Version


The next symbol is called Nabla.


Watch Advent of Mathematical Symbols Part 3 PDF Version


And now the Factorial:


Watch Advent of Mathematical Symbols Part 4 PDF Version


The Gamma Function is a generalisation of the last video:


Watch Advent of Mathematical Symbols Part 5 PDF Version


For the Composition we use a special symbol:


Watch Advent of Mathematical Symbols Part 6 PDF Version


The capital sigma we use to denote the Sum Symbol:


Watch Advent of Mathematical Symbols Part 7 PDF Version


And the capital Pi is used for the Product Symbol:


Watch Advent of Mathematical Symbols Part 8 PDF Version


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


Watch Advent of Mathematical Symbols Part 9 PDF Version


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


Watch Advent of Mathematical Symbols Part 10 PDF Version


Naturally a fundamental notation: Set Brackets.


Watch Advent of Mathematical Symbols Part 11 PDF Version


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


Watch Advent of Mathematical Symbols Part 12 PDF Version


Next, we look a the Binomial Coefficient


Watch Advent of Mathematical Symbols Part 13 PDF Version


The Modulo notation is important when you work with numbers.


Watch Advent of Mathematical Symbols Part 14 PDF Version


The next video is about the Beta Function.


Watch Advent of Mathematical Symbols Part 15 PDF Version


Also a fundamental notation is given by the Map arrows.


Watch Advent of Mathematical Symbols Part 16 PDF Version


For some formulas the Little o notation is helpful.


Watch Advent of Mathematical Symbols Part 17 PDF Version


Next, let’s discuss the Outer product.


Watch Advent of Mathematical Symbols Part 18 PDF Version


Are you interested in Euler’s Phi Function


Watch Advent of Mathematical Symbols Part 19 PDF Version


The Laplace Operator a very important object in differential equations.


Watch Advent of Mathematical Symbols Part 20 PDF Version


Next symbol ist about the Convolution


Watch Advent of Mathematical Symbols Part 21 PDF Version


Do you know the Heaviside Function


Watch Advent of Mathematical Symbols Part 22 PDF Version


Let us talk about Quaternions.


Watch Advent of Mathematical Symbols Part 23 PDF Version


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


Watch Advent of Mathematical Symbols Part 24 PDF Version