Mathematics

The Language of the Universe

Exploring patterns, proofs, and abstract beauty — from foundational logic to applied problem-solving and the stories behind the greatest mathematical minds.

1Active Series
12Published Parts
4AI Extensions
12-Part Series + Modern AI Roadmap

Complete Math for AI Bootcamp

A structured bootcamp covering mathematical thinking, set theory, combinatorics, probability, statistics, information theory, linear algebra, calculus, and ML-specific mathematics — now with a dedicated hub for transformer, LLM, generative AI, and capstone extension paths.

Series Hub
Math for AI Roadmap
12 parts + 4 extensions
RoadmapLLMsProjects
Start here for the full curriculum map, recommended study paths, modern AI extension topics, and next capstone projects.
Open Hub →
Part 1
Mathematical Thinking
18 min read
MindsetNotationFunctions
Abstraction, notation fluency, proof vs intuition, approximation, and the function families powering every ML model.
Read Part 1 →
Part 2
Set Theory & Foundations
20 min read
SetsLogic
Set operations, De Morgan's laws, Cartesian products, and Jaccard similarity for ML.
Read Part 2 →
Part 3
Combinatorics
20 min read
CountingPermutations
Counting principles, permutations, combinations, binomial theorem, and Pascal's triangle.
Read Part 3 →
Part 4
Probability Fundamentals
22 min read
BayesDistributions
Kolmogorov axioms, Bayes' theorem, random variables, MLE, and probability distributions.
Read Part 4 →
Part 5
Statistics
20 min read
DescriptiveInferential
CLT, hypothesis testing, confidence intervals, p-values, and Pearson correlation.
Read Part 5 →
Part 6
Information Theory
18 min read
EntropyKL Divergence
Shannon entropy, cross-entropy loss, KL divergence, JS divergence, and mutual information.
Read Part 6 →
Part 7
Linear Algebra
24 min read
VectorsMatrices
Vectors, matrix operations, OLS, eigendecomposition, SVD, PCA, and attention as matrix ops.
Read Part 7 →
Part 8
Calculus & Optimization
22 min read
GradientsDescent
Chain rule, partial derivatives, Jacobian, Hessian, gradient descent variants, Adam optimizer, backprop.
Read Part 8 →
Part 9
ML-Specific Math
22 min read
Loss FunctionsRegularization
MSE, cross-entropy, L1/L2 regularization, bias-variance tradeoff, MLE/MAP, softmax, activations.
Read Part 9 →
Part 10
Computational Math
20 min read
NumPySimulation
NumPy, SciPy, SymPy, Monte Carlo methods, numerical integration, and vectorization.
Read Part 10 →
Part 11
Advanced Topics
22 min read
BayesianMultivariate
Multivariate Gaussian, Bayesian inference, Markov chains, EM algorithm, PAC learning, concentration inequalities.
Read Part 11 →
Part 12
Projects & Applications
25 min read
RegressionPCA
Build linear regression, Naive Bayes, PCA, and a neural network from scratch using NumPy only.
Read Part 12 →
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Upcoming Series

In-depth series journeying through the world of mathematics — from foundational proofs to applied problem-solving.

7 Parts
Foundations of Mathematics
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Set TheoryProofsLogic
Set theory, formal logic, proof techniques, axioms, and the philosophy underpinning all of mathematics.
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8 Parts
Applied Mathematics
Coming Soon
ModelingOptimizationApplications
Differential equations, numerical methods, optimization, game theory, and real-world problem solving.
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6 Parts
History of Mathematics
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BreakthroughsPioneersLegacy
From Babylonian numerals to modern computing — the mathematicians and breakthroughs that shaped the discipline.
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Upcoming Articles

Individual in-depth articles on essential mathematical topics — standalone reads that complement the series above.

Article
Number Theory
Coming Soon
PrimesConjecturesIntegers
Primes, divisibility, modular arithmetic, and famous conjectures that have fascinated mathematicians for centuries.
Coming Soon
Article
Linear Algebra
Coming Soon
VectorsMatricesTransforms
Vectors, matrices, eigenvalues, and transformations — the framework behind graphics, ML, and quantum computing.
Coming Soon
Article
Calculus
Coming Soon
DerivativesIntegralsLimits
Limits, derivatives, integrals, and differential equations — how calculus models the dynamic world around us.
Coming Soon
Article
Probability & Statistics
Coming Soon
DistributionsBayesianInference
Randomness, distributions, hypothesis testing, and Bayesian reasoning — the mathematics of uncertainty.
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Article
Discrete Mathematics
Coming Soon
CombinatoricsGraph TheoryAlgorithms
Combinatorics, graph theory, logic, and set theory — the mathematical foundation of computer science.
Coming Soon
Article
Unsolved Problems
Coming Soon
MillenniumOpen ProblemsConjectures
The Riemann Hypothesis, P vs NP, Goldbach's Conjecture, and other millennium problems that remain open.
Coming Soon