Arto's Notes re: mathematics

Branches

• Arithmetic
  • Number theory
• Algebra
• Calculus (study of continuous change)
  • Analysis (study of change & quantity)
• Geometry & Topology (study of space)
  • Trigonometry
• Logic
  • Type theory
• Probability & Statistics

Divisions

• Pure mathematics
• Applied mathematics
• Discrete mathematics
• Computational mathematics

Notation

Books

• Good Math: A Geek's Guide to the Beauty of Numbers, Logic, and Computation (2013) by Mark C. Chu-Carroll
• Concepts of Modern Mathematics (2012) by Ian Stewart (@Amazon)
• Mathematics: Its Content, Methods and Meaning (2012) by A.D. Aleksandrov, A.N. Kolmogorov, M.A. Lavrent'ev (@Amazon)

Study

• How to Study Mathematics
• Ask HN: How to self-learn math?
• Notes on Discrete Mathematics (@HN)

Topics

• Outline of mathematics
• Areas of mathematics
• Foundations of mathematics
• History of mathematics

See Also

• Arto's Notes re: MATLAB
• Mathematics Stack Exchange
• MathOverflow