Advanced Mathematical Packages
Abstract Algebra
Groups and Rings
Field Extensions
Complex Analysis
Complex Functions
Contour Integration
Topology
Topological Spaces
Algebraic Topology
Category Theory
Categories and Functors
Number Theory
Algebraic Number Theory
Analytic Number Theory
Differential Geometry
Manifolds
Riemannian Geometry
Theorem Environments
Setting Up Theorems
Using Theorem Environments
Advanced Symbols and Notation
Special Alphabets
Advanced Operators
Tips for Advanced Mathematics
Use Semantic Commands
Define
\newcommand{\R}{\mathbb{R}} for frequently used symbolsOrganize Theorems
Use consistent numbering across theorem-like environments
Clear Notation
Define all notation clearly when first introduced
Proper Spacing
Use
\, and \: for fine-tuning mathematical spacingFurther Reading
Mathematical Expressions
Basic mathematical typesetting
Symbol Reference
Complete symbol reference
Physics Mathematics
Physics-specific notation
Matrices Guide
Matrix typesetting