A working collection of mathematics resources. Book links lead to Amazon (but none include an affiliate ID). Libgen, Z-Library, etc. might be your friends. 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 Terence Tao, “Machine Assisted Proof” 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 Multivariable Calculus Lecture 1 – YouTube 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 Gilbert Strang lectures on Linear Algebra (MIT) – YouTube Linear Algebra Done Right – YouTube 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 Jane Street Probability & Markets Guide Cheatsheets Probability Cheatsheet Probability and Markets Guide – Jane Street People Joe Blitzstein (@stat110) / X Articles Dr Robin Reed – Some downloadable notes on statistics and R Geometry Books Geometry by Jurgensen 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 Real Analysis: Lectures by Professor Francis Su – YouTube 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 MAT327 Course Notes Combinatorics Books Applied Combinatorics by Tucker Set Theory Books Naive Set Theory by Halmos Functional Analysis Books Introductory Functional Analysis with applications by Kreyszig Graph Theory Books Graph Theory by Gould Problem Solving Books Solving Mathematical Problems by Terence Tao How to Solve It by Polya, Conway Articles Solving mathematical problems | Terry Tao 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 Machine Learning The Matrix Calculus You Need For Deep Learning by Terence Parr and Jeremy Howard Mathematical Writing Books Mathematical Writing by Knuth LaTeX Books LaTeX – Wikibooks LaTeX by Lamport The TeXbook by Knuth The LaTeX Companion Websites Learn LaTeX LShort Overleaf Tools Overleaf, Online LaTeX Editor Videos How I take notes as a Math major using Vim + LaTeX – YouTube Study Maps & Curricula Mathematics (Course 18) < MIT Course 18 Option 2: Applied Option Applied Statistics Master’s Program | U-M LSA Department of Statistics 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 How to Study as a Mathematics Major by Alcock Articles Case Study: How I Got the Highest Grade in my Discrete Math Class – Cal Newport Blogs Terence Tao Collection of the Best Mathematics and Science Stuff | Abakcus Articles – Edward O. Thorp Misc. Books 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 – YouTube Numberphile – YouTube Stand-up Maths – YouTube 3Blue1Brown – YouTube Numberphile – YouTube Joint Mathematics Meetings StatQuest with Josh Starmer Steve Brunton N N Taleb’s Probability Moocs Stony Brook University Math Club – YouTube Olympiad Preparation American Invitational Mathematics Examination – AIME | Mathematical Association of America

## Mathematics Self-Study Resources

By AlexA working collection of mathematics resources.

Book links lead to Amazon (but none include an affiliate ID). Libgen, Z-Library, etc. might be your friends.

## Discrete Mathematics

## Books

## Pre-Algebra

## Books

## Proof-Writing

## Books

## Videos

## Algebra, Precalculus, & Trigonometry

## Books

## Calculus

## Books

## Videos

## Differential Equations

## Books

## Partial Differential Equations

## Books

## Linear Algebra

## Books

## Videos

## Probability & Statistics

## Books

## Guides

## Cheatsheets

## People

## Articles

## Geometry

## Books

## Complex Variables

## Books

## Real Analysis & Advanced Calculus

## Books

## Videos

## Abstract Algebra

## Books

## Number Theory

## Books

## Topology

## Books

## Notes

## Combinatorics

## Books

## Set Theory

## Books

## Functional Analysis

## Books

## Graph Theory

## Books

## Problem Solving

## Books

## Articles

## Mental Math

## Cryptography

## Machine Learning

## Mathematical Writing

## Books

## LaTeX

## Books

## Websites

## Tools

## Videos

## Study Maps & Curricula

## Studying

## Books

## Articles

## Blogs

## Misc. Books

## YouTube Channels

## Olympiad Preparation