# Math Study

See also: Mathematics, Course ware

Legend:

- OH – On hand
- OK – Online/soft-copy available etc.,
- OT – Borrowed, Others
- Lib – library
- REC – Recommended

## Study techniques and “meta”

- The Mathematics Autodidact’s Aid by Kristine K. Fowler
- How to Read Mathematics by Shai Simonson and Fernando Gouvea. HN discussion
- Metadata: How I read a research paper
- Tips for Success in Undergraduate Math Courses | Hacker News
- How to Solve It – Polya [OH:REC]
- How to Prove it, a structured approach – Daniel Velleman [OH:REC:Kindle]
- What is Mathematics – Courant [OH]

## Teaching Math

## Basics/Review material

- REA – Algebra and Trigonometry problem solver [OH]
- Pre-calculus demystified [LIB]

## Analysis

- Introduction to Analysis – Rosenlicht [OH:REC]

## Calculus

- Calculus – Gilbert strang. See also accompanying videos. Perhaps the best place to start once the preliminaries are in place. [OL:REC]
- A concept of limits [OH:REC]
- EMcSquared Calculus primer – [OH:REC] a quick way to eyeball what is ahead. A bird’s eye view of the topics.
- Calculus with analytic geometry – Swokowski [OT]
- Calculus with analytic geometry – Hunt [OT]
- Calculus an intuitive and physical approach – Kline [OH:REC]
- Calculus made easy – Silvanus Thompson [OH:REC]

## Discrete Mathematics

- Concrete Mathematics – Graham, Knuth and Patashnik [OH:REC]

## Information Theory

- Information theory, inference and learning algorithms –Andy McKay [OL:REC]

## Statistics

- Statistics for management – Levin and Rubin [OH]
- Head First Statistics – Griffiths [OH]

## Self Study

- Pauls Online Math Notes – “notes/tutorials for my Algebra (Math 1314), Calculus I (Math 2413), Calculus II (Math 2414), Calculus III (Math 3435) and Differential Equations (Math 3301) “.
- Evan Chen’s Infinitely Large Napkin; src
- How to Learn Advanced Mathematics Without Heading to University - Part 1 - QuantStart
- How to Learn Advanced Mathematics Without Heading to University - Part 2 - QuantStart
- How to Learn Advanced Mathematics Without Heading to University - Part 3 - QuantStart
- Chicago undergraduate mathematics bibliography HN, reddit, updated

### “High School” mathematics

The Napkin project is a personal exposition project of mine aimed at making higher math accessible to high school students. The philosophy is stated in the preamble:

I’ll be eating a quick lunch with some friends of mine who are still in high school. They’ll ask me what I’ve been up to the last few weeks, and I’ll tell them that I’ve been learning category theory. They’ll ask me what category theory is about. I tell them it’s about abstracting things by looking at just the structure-preserving morphisms between them, rather than the objects themselves. I’ll try to give them the standard example Gp, but then I’ll realize that they don’t know what a homomorphism is. So then I’ll start trying to explain what a homomorphism is, but then I’ll remember that they haven’t learned what a group is. So then I’ll start trying to explain what a group is, but by the time I finish writing the group axioms on my napkin, they’ve already forgotten why I was talking about groups in the first place. And then it’s 1PM, people need to go places, and I can’t help but think:

Man, if I had forty hours instead of forty minutes, I bet I could actually have explained this all.

This book is my attempt at those forty hours.