Mathematics Notes
Here is the repository for my notes in various topics in mathematics. This repository will be puiblicly available. As a disclaimer, the notes here are heavily based on books that were used in conjunction, and are meant to acoompany those books. These notes SHOULD NOT be considered as original work, as they contain the results and topics contained in the accompnying book and other resources. To access the notes, please click on the title.
These notes are meant to be used as supplimentary material when studying a topic, and should only be used as such. These notes are also continually updated and under constant revision. I would appreciate it that any typos and errata be reported so that I can revise the content.
These notes do not contain the pdf files, and must be compiled with LaTeX. The content directory structure is as follows:
math_notes/
├── library
│ ├── Fonts/
│ ├── definitions
│ └── styles.tex
├── notes/
│ └── topic/
│ │
│ ├── subject/
│ │ ├── chapter/
│ │ │ └── chapter#/
│ │ │ ├── chapter#.tex
│ │ │ └── section#.tex
│ │ ├── figures/
│ │ │ └── chapter#/
│ │ │ └── <figure_name>.<svg/eps/pdf>
│ │ ├── <subject>.bbl
│ │ ├── <subject>.tex
│ │ ├── quiver.sty
│ └── references.tex
├── .gitignore
├── LICENSE
└── README.md
You can open your favorit LaTeX editor in the subject/ directory to compile
the pdfs, or you can run the latexmk -pdf <subject.tex> terminal command the
same directory. The main files will always be names <subject>.tex. To clean up
any extraneous files, just run the cleaning command in your favorite LaTeX
editor, or latexmk -c in the terminal.
This repository contains notes for:
Algebra
- Group Theory
- Algebraic Geometry and Commutative Algebra
- General Ring Theory
- Linear Algebra
- Fields and Galois Theory