# 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)

## Probability

Introduction to Probability, by Charles M Grinstead, J Laurie Snell Shoup (highschool readable)

## Calculus

Calculus, by Jim Fowler, Bart Snapp (257 pages)

APEX Calculus by Gregory Hartman et al (772 pages)

Calculus Volume 1. OpenStax project (867 pages)

## Linear Algebra

Linear Algebra, by David Cherney and Others

Linear Algebra, by Jim Hefferon

## Real Analysis

Real Analysis by Jiri Lebl 2016

## Complex Analysis

## Differential Geometry

Lecture Note on Curves and Surfaces, 2005, Chuu-Lian Terng (undergrad)

A Modern Course on Curves and Surfaces, 2003, by Richard S Palais (undergrad)

Functional Geometry, 2013, Sussman, Wisdom, Farr (undergrad)

Analysis on Manifolds, 1991, by J R Munkres

## Topology

Intro to Point-Set Topology by Allen Hatcher

Topology from the Differential Point of View, 1965, John W Milnor

## Logic

A Course In Universal Algebra, Burris, Sankappanavar

Mathematical Logic, by Stephen G Simpson (graduate)

Introduction to Proof Theory, 1998, by Samuel R Buss (graduate)

Foundation of Math, by Stephen G Simpson (graduate)

Homotopy Type Theory (graduate)

## Infomation Theory

Information Theory, Inference, and Learning Algorithms by David J C MacKay

## Category Theory

Basic Category Theory by Tom Leinster. https://arxiv.org/abs/1612.09375 [local copy basic_category_theory_by_Tom_Leinster_2016-12-30.pdf ]

## not verified

the following i have not verified.

ALGEBRAIC CURVES, An Introduction to Algebraic Geometry, by William Fulton