Free Math Textbooks
These are books that i've verified them in one way or another. Some i've read and consider good, some i checked up the author and is reputable mathematician, some are well known professors i know of, etc.
Number Theory
- Elementary Number Theory by W Edwin Clark (highschool readable)
- A Computational Introduction to Number Theory and Algebra , by Victor Shoup (not verified)
Calculus
Here is a collection of calculus textbooks. These are top quality, and legally free.
- Calculus, by Jim Fowler, Bart Snapp (257 pages)
- APEX Calculus by Gregory Hartman et al (772 pages)
- Calculus Volume 1. OpenStax project (867 pages)
- not text book, but great. Journey Through Genius by William Dunham
Linear Algebra
- my fav, back in 1993. not free, but $10 on amazon. Linear Algebra and Its Applications by David C. Lay
first course:
more abstract approach:
Real Analysis
Complex Analysis
Differential Geometry
- Functional Geometry, 2013, Sussman, Wisdom, Farr (undergrad)
Topology
Logic, Proof Theory
- Mathematical Logic, by Stephen G Simpson (graduate)
- Foundation of Math, by Stephen G Simpson (graduate)
- Homotopy Type Theory (graduate)
Infomation Theory
Category Theory
not verified
the following i have not verified.