The Hanky project

Project Status

The Hanky project now consists of:

• 7000+ pages
• 300+ thousand lines of the code
• 240+ 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. 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.

Click here to download the entire project collection. If you like this book and want to support me, please consider buying me a coffee!!

• Vol.1: Foundation of Mathematics
  • Prerequisites
  • Topological Structure
  • Algebraic Structure
  • Ordered Structure
• Vol.2: Analysis
  • Real Analysis
  • Complex Analysis
  • Functional Analysis
• Vol.3: Algebra
  • Linear Algebra
  • Group Theory
  • Ring Theory
  • Commutative Algebra
  • Fields and Galois Theory
  • Category Theory
  • Representation Theory
• Vol.4: Geometry
  • Differential Geometry of Curves and Surfaces
  • Riemannian Geometry
  • Differential Manifold
  • 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

I authored this text because I wanted to make the subject more accessible to people need to learn it. It is based on my notes from when I first learned it.