Mathematics
The formal structures beneath meaning.
Mathematics is the language coherence speaks when it needs to be precise. From the geometry of space to the calculus of change, from probability's uncertainty to logic's certainty — these are the tools that let us measure, predict, and understand the patterns that run through everything.
Each series below builds from fundamentals to synthesis. Start anywhere that calls to you.
Foundations
Where mathematical thinking begins — shapes, numbers, and the rules that govern them.
Geometry Explained
Hub page for geometry series - the mathematics of shape and space
Algebra Explained
Hub page for algebra series - the mathematics of unknown quantities
Number Theory Explained
Hub page for number theory series - the mathematics of integers and their properties
Set Theory Explained
Hub page for set theory series - the foundation of modern mathematics
Mathematical Logic Explained
Hub page for logic series - the mathematics of valid reasoning
Functions & Precalculus
The bridge between arithmetic and calculus — patterns, growth, and periodic motion.
Sequences and Series Explained
Hub page for sequences and series - the mathematics of ordered lists and their sums
Precalculus Explained
Hub page for precalculus series - the bridge to calculus
Exponential Functions Explained
Hub page for exponential functions series - the mathematics of growth
Logarithms Explained
Hub page for logarithms series - the mathematics of exponent-finding
Trigonometry Explained
Hub page for trigonometry series - the mathematics of circles and waves
Calculus
The mathematics of change — how things grow, shrink, accumulate, and flow.
Derivatives Explained
Hub page for derivatives series - the mathematics of change
Integrals Explained
Hub page for integrals series - the mathematics of accumulation
Multivariable Calculus Explained
Hub page for multivariable calculus series - calculus in higher dimensions
Vector Calculus Explained
Hub page for vector calculus series - calculus of vector fields
Differential Equations Explained
Hub page for differential equations series - the mathematics of change over time
Advanced Topics
Where the foundations extend into specialized power.
Linear Algebra Explained
Hub page for linear algebra series - the mathematics of vectors and transformations
Complex Numbers Explained
Hub page for complex numbers series - mathematics beyond the real line
Probability Explained
Hub page for probability series - the mathematics of uncertainty
Statistics Explained
Hub page for statistics series - the mathematics of data and inference
Discrete Mathematics Explained
Hub page for discrete mathematics series - the math of countable structures
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