Hello, I am Benjamin Loi from CUHK-EESC and NTU-AS. This is the repository for the tex/python files for my book Introduction to Linear Algebra with Earth Science Applications.
The book pdf is located at here (First Edition).
Meanwhile, the Jupyter notebooks are placed in this folder.
This project has been completed in May 2025.
Feel free to open an issue regarding any problem or suggestion about the book! Any idea will be greatly appreciated. When the book is completed, I will upload it to ArXiv formally for open access. This repository will stay open anyway. Update: There will be a minor patch to integrate all the comments in the near future.
- Introduction to Matrices and Linear Systems
- Inverses and Determinants
- Solutions for Linear Systems
- Introduction to Vectors
- Vector Geometry
- Vector Spaces and Coordinate Bases
- More on Coordinate Bases, Linear Transformations
- Complex Vectors/Matrices and Block Matrices
- Eigenvalues and Eigenvectors
- Orthogonal and Normal Matrices
- Quadratic Forms
- Inner Product Spaces
- Least-Square Approximation
- Discrete Fourier Transform (DFT)
- Markov Chains
- Matrix Factorization Methods
- Dynamical Systems
- Index Notation and Introduction to Tensors
Appendix
- Cyclic Subspaces and Jordan Normal Forms
Below are several possible channels to purchase a hardcover version to support my effort!
- Barnes and Noble
- Amazon (US only)
- 天瓏 (Taiwan only)
Loi, C. L. Introduction to Linear Algebra with Earth Science Applications. 2025. ISBN: 9786260139902.