1.0 Numbers and Computation
1.1 Number Concepts
1.2 Arithmetic
1.3 Patterns and Sequences
1.4 Measurement
2.0 Logic and Foundations
2.1 Logic
2.2 Set Theory
2.3 Computability and Decidability
2.4 Model Theory
3.0 Algebra and Number Theory
3.1 Algebra
3.2 Linear Algebra
3.3 Abstract Algebra
3.4 Number Theory
3.5 Category Theory
3.6 K-Theory
3.7 Homological Algebra
3.8 Modular Arithmetic
4.0 Discrete Mathematics
4.1 Cellular Automata
4.2 Combinatorics
4.3 Game Theory
4.4 Algorithms
4.5 Recursion
4.6 Graph Theory
4.7 Linear Programming
4.8 Order and Lattices
4.9 Theory of Computation
4.10 Chaos
5.0 Geometry and Topology
5.1 Geometric Proof
5.2 Plane Geometry
5.3 Solid Geometry
5.4 Analytic Geometry
5.5 Projective Geometry
5.6 Differential Geometry
5.7 Algebraic Geometry
5.8 Topology
5.9 Trigonometry
5.10 Fractal Geometry
6.0 Calculus
6.1 Single Variable
6.2 Several Variables
6.3 Advanced Calculus
6.4 Tensor Calculus
6.5 Calculus of Variations
6.6 Operational Calculus
7.0 Analysis
7.1 Real Analysis
7.2 Complex Analysis
7.3 Numerical Analysis
7.4 Integral Transforms
7.5 Signal Analysis
7.6 Functional Analysis
7.7 Harmonic Analysis
7.8 Global Analysis
8.0 Differential and Difference Equations
8.1 Ordinary Differential Equations
8.2 Partial Differential Equations
8.3 Difference Equations
8.4 Dynamical Systems
9.0 Statistics and Probability
9.1. Data Collection
9.2. Data Summary and Presentation
9.3. Statistical Inference and Techniques
9.4. Probability
10.0 Applied Mathematics
10.1 Mathematical Physics
10.2 Mathematical Economics
10.3 Mathematical Biology
10.4 Mathematics for Business
10.5 Engineering Mathematics
10.6 Mathematical Sociology
10.7 Mathematics for Social Sciences
10.8 Mathematics for Computer Science
10.9 Mathematics for Humanities
10.10 Consumer Mathematics
11.0 Mathematics History
11.1 General
11.2 Famous Problems
11.3 Biographies of Mathematicians
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