Mathematics & Statistics Series
Want to learn more about mathematics and statistics topics? Already studied them in the past but simply forgotten? Well this series is here to help!
Overview
This series contains reviews, guides, and examples of variety of different mathematics and statistics topics. My aim is to publish one per month. As with the majority of my repositories, there are two reasons for its creation.
The first is to serve as a reminder for myself. I continuously fall into the second category outlined above, that is, I have studied these things in the past but have forgetten them over time. As one of my lecturers said, "Mathematics is not a spectator sport!"
The second reason is that in reminding myself I hope this series will also help others in their journey. To those that do happen to stumble across these guides, please note I am not infallible. There may indeed be mistakes or typos, and I would very much appreciate anyone who spots something as such, so I may correct it for the future.
Contents
 |
Probability Theory: The Central Limit Theorem |
|
|
Probability Theory: The Law of Large Numbers |
|
|
Probability Theory: A Collection of Probability Distributions |
|
|
Probability Theory: Elementary Results |
|
|
Partial Differential Equations: Solving the 1D Wave Equation |
|
|
Partial Differential Equations: Solving the 1D Heat Equation |
|
|
|
|
|
Laplace Transforms: Introduction, Properties, and Examples |
|
|
Fourier Transforms: Introduction, Properties, and Examples |
|
|
Taylor Series Expansion: What? Why? And Some Examples |
|
|
Solving Ordinary Differential Equations using an Integrating Factor |
|
|
Solving Ordinary Differential Equations using Separation of Variables |
License
Copyright 2022 Harry Stobart
Permission is hereby granted, free of charge, to any person obtaining the underlying .TeX files, including without limitation the rights to use, copy, modify, merge, and/or distribute copies of the .TeX files.
The above copyright notice and this permission notice shall serve as warning of the following condition:
THE FILES ARE PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE FILES OR THE USE OR OTHER DEALINGS IN THE FILES.
