Mathematics
Mathematical Foundations
Logic, sets, and the axiomatic basis of mathematics.
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Course overview
Course outline
Follow the modules in order for a guided path, or open any lesson directly. Each module groups a connected set of concepts.
Modules
1 modules · 26 lessons-
01Overview
26 lessons- Algebraic Numbers
- Axiomatic Systems
- Cardinality and Infinite Sets
- Category Theory
- Chaos Theory and Fractals
- Complex Numbers
- Diophantine Equations
- Distributions and Generalized Functions
- Divisibility and Congruence
- Dynamical Systems
- Mathematics - Recap and Future Directions
- Homological Algebra
- The Nature of Mathematics
- Advanced Logic
- Gödel's Incompleteness
- Propositional Logic
- Mathematical Notation and Logic
- Number Theory
- Number Systems and Arithmetic
- Numerical Root Finding
- Predicate Logic
- Prime Number Distribution
- Projective Geometry
- Proof Techniques
- Real Numbers and Continuity
- RSA Encryption