# Primers

Abstract Algebra
Linear Algebra

Inner Product Spaces
Groups (motivations, basic definitions, homomorphisms, quotient groups)
Groups (first isomorphism theorem, presentations, classification theorem, free products)
Rings (basic definitions, zero-divisors, units, examples)
Rings (homomorphisms, ideals, quotients)
Tensor Products
Outer Products
Fields (mostly finite fields)

Discrete Math
Graph Theory (for the math-phobic)
Graph Coloring
Trees and Tree Traversal

Probability and Statistics
Finite Probability Theory
Conditional Probability
Probabilistic Bounds (Markov, Chebyshev, Chernoff-Hoeffding)
Martingales and the Optional Stopping Theorem
Markov Chain Monte Carlo

Topology
Metric Spaces
Topological Spaces (motivations, basic definitions, and examples)
Constructing Topological Spaces (subspaces, quotients, and gluing)
The Fundamental Group
Homology (definitions and examples)

Programming framework tutorials
MLIR for Beginners

## 20 thoughts on “Primers”

1. Hi,

I’m impressed. Good introductions to difficult topics. Especially I liked your article about psychodelic pictures or about search engines (Once I developed a search engine myself).

Wish you the Best for the New Year and a lot more of your articles
Thomas Nitsche

2. Ash

Thanks Jeremy!

3. alejandro varela

i love this post! thanks a lot!

4. Jorge Varas

Awesome!

What I learned as discrete math in cs classes is what you have here as miscellaneous, and what you have under discrete math I learned under topologies

Second, is it possible to get all the topics in one big pdf? what is your licensing on the content?

• Well number theory and set theory are not particularly discrete in nature, at least as they occur in mathematics.

I don’t have all the topics in one big pdf. The licensing on my blog is Creative Commons non-commercial, so you’re welcome to assemble one and distribute it, as long as you give attribution and don’t sell it.

5. JC

Wow, great post/resource!

6. would pomax.github.io/bezierinfo (primer on bezier curves) be a userful link here?

• This looks like a very great and in-depth tutorial. I am coincidentally just finishing up my own (less detailed) Bezier curve tutorial! I’ll be sure to link to this one in that post.

7. This is a wonderful blog! You have a fantastic writing style and I especially liked the graph theory post. I remember how much I struggled to explain the Seven Bridges of Konigsberg problem to my sister, and after reading your post about it I feel like exclaiming to the world the wonders of graph theory.

8. opwernby

Brilliant! I love it — reminds me of Dijkstra!

9. Very interesting mathematics and solutions. Well done!

10. Love it. It reminds me university times! Thank you.

11. rediculas its good

12. Some of the left-hand text gets cut off on my 7″ tablet. 🙁
Other than that, I really like this blog, the content is absolutely AWESOME.
Just wanted to say that.

13. Lambodara Mishra

These are useful things written very clearly and beautifully. Thank you

14. I included this website web page to our feed reader, exceptional things. Are not able to get enough!