Steps
- Linear Algebra
- Real Analysis
- Point Set Topology
- COmplex Analysis
- Group Theory
- Galois Theory
- Differential Geometry
- Algebraic Topology
Books
- Understanding Analysis by Stephen Abbott - Real Analysis
- Linear Alebra Done Right by Sheldon Axler - Linear Algebra
- MAT327 Course Notes - Point Set Topology
- Visual Complex Functions: an instruduction with phase Portraits by Elias Wegert - Complex Analysis
- Complex Analysis by Serge Lang - Complex Analysis
- Topics in ALgebra by Herstein - Group Theory
- Abstract Algebra - Group Theory
- Notes by Tom Leinster:
https://www.maths.ed.ac.uk/~tl/gt/gt.pdf- Galois Theory - Introduction to Differentiable Manifolds and Riemannian Geometry by Boothby - Differential Topology
- Algebraic Topology by Allen Hatcher - Algebraic Topology
- Algebraic Topology: a beginner’s course - N J Wildberger - Algebraic Topology