How to self study pure math - a step-by-step guide

# Steps

  1. Linear Algebra
  2. Real Analysis
  3. Point Set Topology
  4. COmplex Analysis
  5. Group Theory
  6. Galois Theory
  7. Differential Geometry
  8. 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

# References

Get Things Done
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