A working collection of mathematics resources. Book links lead to Amazon, but none include an affiliate ID. Libgen, Z-Library, etc. might be your friend.

## Discrete Mathematics

### Books

- Discrete Mathematics with Applications by Susanna S. Epp
- Discrete Mathematical Structures by Kolman, Busby, and Ross
- Concrete Mathematics: A Foundation for Computer Science by Graham, Knuth, Patashnik
- Discrete and Combinatorial Mathematics by Grimaldi
- Discrete Mathematics and Its Applications by Rosen
- Mathematical Proofs: A Transition to Advanced Mathematics by Chartrand, Polimeni, and Zhang
- An Introduction to Abstract Mathematics by Bond and Keane

## Pre-Algebra

### Books

- Pre-Algebra Mathematics by Nichols
- Elementary Algebra by Sullivan, Struve, Mazzarella
- AGS Pre-Algebra
- Fearon’s Pre-Algebra
- Everything You Need to Ace Pre-Algebra and Algebra I in One Big Fat Notebook

## Proof-Writing

### Books

- How to Prove It: A Structured Approach by Velleman
- Foundations of Higher Mathematics by Fletcher, Patty
- An Introduction to Abstract Mathematics by Bond, Keane
- How to Read and Do Proofs by Solow

### Videos

## Algebra, Precalculus, & Trigonometry

### Books

- College Algebra by Kaufman, Schwitters
- College Algebra Essentials by Blitzer
- A Graphical Approach to Algebra & Trigonometry by Hornsby, Lial, and Rockswold
- Algebra and Trigonometry by Stewart, Redlin, Watson
- Algebra & Trigonometry by Sullivan
- Plane and Spherical Trigonometry (Schaum’s)
- Algebra and Trigonometry by Cameron
- Precalculus: Mathematics for Calculus by Stewart, Redlin, Watson
- Pre-Calculus Mathematics by Shanks, Brumfiel, Fleenor, Eicholz
- Trigonometry Essentials Practice Workbook with Answers by McMullen
- Plane Trigonometry by Rice, Strange

## Calculus

### Books

- Calculus with Analytic Geometry by Swokowski
- Calculus by Larson, Edwards
- Thomas’ Calculus
- Calculus by Stewart
- Calculus by Spivak
- Essential Calculus Skills Practice Workbook by McMullen
- Calculus with Multiple Variables by McMullen

## Videos

## Differential Equations

### Books

- A First Course in Differential Equations with Modeling Applications by Zill
- Ordinary Differential Equations with Applications by Andrews
- Differential Equations (Schaum’s Outlines) by Bronson
- Differential Equations and Boundary Value Problems by Nagle, Saff, Snider

## Partial Differential Equations

### Books

- Introduction to Partial Differential Equations with Applications by Zachmanoglou, Thoe
- Partial Differential Equations by Strauss
- Partial Differential Equations (Schaum’s Outlines) by DuChateau, Zachmann
- Partial Differential Equations by Miller

## Linear Algebra

### Books

- Elementary Linear Algebra by Anton
- Linear Algebra by Friedberg, Insel, and Spence
- Linear Algebra by Lang
- Linear Algebra by Hoffman and Kunze
- Finite-Dimensional Vector Spaces by Halmos
- Linear Algebra (Schaum’s Outlines) by Lipschutz, Lipson
- Linear Algebra and Its Applications by Strang
- Linear Algebra Done Right by Axler

### Videos

## Probability & Statistics

### Books

- Mathematical Statistics with Applications by Wackerly, Mendenhall, Scheaffer
- A First Course in Probability by Ross
- Probability and Statistics (Schaum’s Outlines) by Schiller, Srinivasan, Spiegel
- Elementary Statistics by Weiss
- Mathematical Statistics and Data Analysis by Rice

### Guides

### Cheatsheets

### People

- Joe Blitzstein (@stat110) / X// Statistics professor at Harvard

### Articles

## Geometry

### Books

## Complex Variables

### Books

- Complex Variables (Schaum’s Outlines) by Spiegel, Lipschutz, Schiller, Spellman
- Fundamentals of Complex Analysis with Applications to Engineering and Science by Saff and Snider
- Complex Variables and Applications by Brown, Churchill
- Applied Complex Variables by Dettman
- Complex Variables: Introduction and Applications by Ablowitz, Fokas

## Real Analysis & Advanced Calculus

### Books

- Analysis I by Tao & Analysis II by Tao
- Advanced Calculus by Fitzpatrick
- Principles of Mathematical Analysis by Rudin
- Elementary Analysis: The Theory of Calculus by Ross
- Introduction to Real Analysis by Bartle, Sherbert
- Analysis I by Lang
- Understanding Analysis by Abbott
- Advanced Calculus by Buck
- Real Analysis by Royden
- Real and Complex Analysis by Rudin
- How to Think About Analysis by Alcock
- Real Analysis: With Proof Strategies by Cunningham

### Videos

## Abstract Algebra

### Books

- A First Course in Abstract Algebra by Fraleigh
- Abstract Algebra by Saracino
- Contemporary Abstract Algebra by Gallian
- Abstract Algebra with a Concrete Introduction by Beachy, Blair
- Algebra by Artin
- Abstract Algebra by Dummit, Foote
- Graduate Texts in Mathematics by Lang

## Number Theory

### Books

- Elementary Number Theory by Dudley
- Number Theory by Andrews
- Elementary Introduction to Number Theory by Long

## Topology

### Books

- General Topology (Schaum’s Outlines) by Lipschutz
- Introduction to Topology by Mendelson
- Introduction to Topology by Gamelin and Greene
- Topology by Munkres

### Notes

## Combinatorics

### Books

## Set Theory

## Functional Analysis

## Graph Theory

## Problem Solving

### Books

### Articles

## Mental Math

- Arithmetic Game – Online Speed Drill
- Mental Math Practice : quant
- Learning & Training – World Mental Calculation
- Mental Math Practice for Traders – Tradermath
- https://rfqjobs.com/practice/math/

## Cryptography

## Mathematical Writing

### Books

## LaTeX

### Books

### Websites

### Tools

### Videos

## Philosophy

## Study Maps & Curricula

- Mathematics (Course 18) < MIT
- IAP/Spring 2024 Course 18: Mathematics
- General Institute Requirements < MIT
- TalalAlrawajfeh/mathematics-roadmap: A Comprehensive Roadmap to Mathematics
- Q36 | BSc (Hons) Mathematics and Statistics | Open University

## Studying

### Books

### Articles

## Blogs

- Terence Tao
- Collection of the Best Mathematics and Science Stuff | Abakcus
- Articles – Edward O. Thorp

## Misc.

- Algebra by Artin
- Calculus Made Easy by Thompson
- Geometry by Jurgensen, Brown, and King
- All the Math You Missed (But Need to Know for Graduate School) by Garrity
- Introduction to Cryptography with Coding Theory by Trappe, Washington
- Advanced Engineering Mathematics by Kreyszig
- Introductory Functional Analysis with Applications by Kreyszig
- Basic Mathematics by Lang

## YouTube Channels

- Professor Leonard
- PatrickJMT
- Coffee And Calculus
- Michael Penn
- Numberphile
- Stand-up Maths
- 3Blue1Brown
- Numberphile
- Joint Mathematics Meetings
- StatQuest with Josh Starmer
- Steve Brunton
- N N Taleb’s Probability Moocs
- Stony Brook University Math Club
- Harvard Mathematics Department

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