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Math Books & Courses

All of these are free and legal!

Books (Alphabetical By Author; Separated By Topic)

Algebra

Euler, Leonhard. Elements of Algebra. KDP, 2015.

Calculus

Sawyer, W.W. What Is Calculus About?. MAA, 1962.

Tarasov, L.V. Calculus: Basic Concepts for High Schools. MIR Publishers, 1982.

Thompson, Silvanus. Calculus Made Easy. Macmillan and Co., 1914.

Statistics & Probability

Gnedenko, B.V. The Theory of Probability. MIR Publishers, 1978.

Rastrigin, L. This Chancy, Chancy, Chancy World. MIR Publishers, 1984.

Tarasov, Lev. The World Is Build on Probability. MIR Publishers, 1988.

Umbarger, Dan. Explaining Bayes Theorem. Self-Published, 2006-2013.

Wentzel, E.S. Probability Theory (First Steps). MIR Publishers, 1982.

Combinatorics

Vilenkin, N. Combinatorial Mathematics for Recreation. MIR Publishers, 1972.

A great resource for many open textbooks organized by topic is the American Institute of Mathematics - Approved Textbooks page.

Websites (General, No Particular Order)

Cool Math
Purplemath
S.O.S. Mathematics
The Math Page
Math Is Fun
Math Hints (fka She Loves Math)
Kate's Math Lessons
The Story of Mathematics
BetterExplained
Math Open Reference
MacTutor History of Mathematics Archive
Mathigon - Timeline of Mathematics

Websites (Specific Topics)

The Fourier Transform

YouTube Channels (General, Arranged Alphabetically)
[Some of these channels overlap with other topics, like Physics and Chemistry. Please see the Educational Eye Candy page for a few more channels.]

Aleph 0
Anil Kumar
Art of Problem Solving
Bill Shillito
blackpenredpen
Brian McLogan
Brian Storey
BriTheMathGuy
CHALK
Chris Odden
ColfaxMath
Crystal Clear Maths
Dony Lee
Dr Nic's Maths and Stats
Dr. Trefor Bazett
Duane Habecker
Eddie Woo
Eugene Khutoryansky
Eyesomorphic
eigenchris
Graduate Mathematics
GreeneMath
Houston Math Prep
Howie Hua
James Tanton
Joydeep Dutta
Ken Williams
keystone
Krista King
LearnChemE
Let's Do Math
Mario's Math Tutoring
Math and Science
mathantics
Mathispower4u
Mathologer
Math Tutoring by Dr. Liang
Mathview
Math Vista
Michael Penn
Michael van Biezen
MySecretMathTutor
NancyPi
NJ Wildberger
Numberphile
Professor Leonard
Prof Ghrist Math
ProfRobBob
patrickjmt
StatQuest with Josh Starmer
TabletClass Math
Teach Me Animated Math
tecmath
The Bright Side of Mathematics
The Math Sorcerer
The Organic Chemistry Tutor
3blue1brown
Tom Rocks Maths
Vihart
wdflannery
Wild Egg Mathematics Courses
YaymathOrg

[In Progress...]