The Hanky project (v3.7)

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The PDF will be automatically updated on the 3rd, 11th, 17th, and 25th of each month. The rest of the time only the code is updated.

You can click here to download the most recent PDF of the entire project collection.

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Project Status

The Hanky project now consists of:

  • 9000+ pages
  • 500+ thousand lines of the code
  • 340+ chapters

Description

The Hanky project is a personal exposition project of mine aimed at provide the necessary of knowledge for an introduction to modern mathematics. I authored this text because I wanted to make the subject more accessible to people need to learn it. A large part of it is the math notes that I wrote during my undergraduate years.

These are the details for Chänzz’s The Hanky project. You can read about the project on my webpage.

  • Vol.1: Foundation of Mathematics
    • Prerequisites
    • Topological Structure
    • Algebraic Structure
    • Ordered Structure
  • Vol.2: Analysis
    • Real Analysis
    • Complex Analysis
    • Functional Analysis
    • Measure Theory
  • Vol.3: Algebra
    • Linear Algebra
    • Group Theory
    • Ring Theory
    • Commutative Algebra
    • Fields and Galois Theory
    • Representation Theory
  • Vol.4: Geometry
    • Differential Geometry of Curves and Surfaces
    • Riemannian Geometry
    • Differential Manifold
    • Manifold Theory
    • Lie Group and Lie Algebra
  • Vol.5: Differential Equations
    • Ordinary Differential Equation
    • Partial Differential Equation
  • Vol.6: Number Theory
    • Algebraic Number Theory
  • Vol.7: Topology
    • Algebraic Topology I: Homotopy
    • Algebraic Topology II: Homology
    • Differential Topology
  • Vol.8: Mathematical Logic
    • Set Theory
  • Vol.9: Others
    • Category Theory