Mathematics

Math Self Study

Map of Mathematics

1. smallphy - How to Become a Pure Mathematician (or Statistician)
2. micromass - “How to Self-Study Series” from Physics Forums Insights, Guides
   • Am I Cut Out for Mathematics or Sciences?
   • Problems with Self-Study
   • How to Self-Study Basic High School Mathematics
   • In High School and Want to Do Advanced Mathematics
   • How to Self-Study Mathematics
   • How to Self-Study Calculus
   • How to Self-Study Geometry, part 1: Pure Geometry
   • How to Self-Study Algebra: Linear Algebra
   • How to Self-Study Analysis, Part 1: Intro Analysis
   • How to Self-Study Analysis, Part 2: Intermediate Analysis
   • How to Self-Study Algebra, Part 2: Abstract Algebra
3. Chicago undergraduate mathematics bibliography

Great Notes

1. Paul’s Online Math Notes - great algebra, calculus and differential equation notes written in a style appropriate for physicists

Recent Math Posts

• Geometric Product
• Emergence of the Dot and Wedge Products
• Vector Dot Product
• Vector Cross Product
• Linear Algebra Notation
• Linear Algebra Basis Vectors
• Vector Multiplication
• Vector Basics
• Linear Algebra
• Derivatives
• The Euler-Lagrange Equation

Study Notes

1. Intro to Proofs

Topics

1. Single Variable Calculus
2. Multi Variable Calculus
3. Linear Algebra
4. Vector Calculus
5. Real Analysis