Skip to main content

Learning Paths

Choose a path that matches your goals. Each path is a curated journey through mathematics with carefully selected books and resources.

Foundations

Where every math journey begins

Beginner

Build rock-solid mathematical foundations. Perfect for those starting from scratch or filling gaps in their knowledge.

4 stages
~24 weeks
View Path
1. Basic Algebra2. Proof Writing Fundamentals3. Pre-Calculus & Trigonometry4. Discrete Mathematics

Data & AI

Math for the age of intelligent machines

Intermediate

Master the mathematical foundations for data science, machine learning, and artificial intelligence.

4 stages
~36 weeks

Prereq: foundations

View Path
1. Calculus2. Linear Algebra3. Probability & Statistics4. Differential Equations

Pure Mathematics

Mathematics in its purest form

Advanced

Dive deep into abstract mathematics: analysis, algebra, and topology. For those who love math for its own beauty.

4 stages
~52 weeks

Prereq: foundations

View Path
1. Advanced Calculus & Analysis2. Abstract Algebra3. Topology4. Number Theory

Engineering Mathematics

Mathematics that builds the world

Intermediate

Applied mathematics for engineers: differential equations, complex analysis, and numerical methods.

5 stages
~40 weeks

Prereq: foundations

View Path
1. Engineering Calculus2. Differential Equations3. Linear Algebra for Engineers4. Complex Analysis5. Advanced Engineering Math

CS & Cryptography

The math behind secure computation

Advanced

Mathematical foundations for computer science, algorithms, and cryptographic systems.

5 stages
~44 weeks

Prereq: foundations

View Path
1. Discrete Mathematics2. Number Theory for Crypto3. Abstract Algebra for Crypto4. Probability for CS5. Cryptography

Which Path Matches Your Background?

Choose based on your current mathematical knowledge and prerequisites.

No Prerequisites

Start from the basics. The Foundations path assumes no prior knowledge beyond basic arithmetic.

Start Foundations

Know Some Algebra

If you're comfortable with algebra and basic calculus, explore specialized paths like Data & AI or Engineering.

Browse Specialized Paths

Strong Math Background

Ready for advanced topics? Pure Mathematics explores analysis, abstract algebra, and topology.

View Pure Math