Free Math Textbooks

By Xah Lee. Date: . Last updated: .

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)

An Introduction to the Theory of Numbers by G. H. Hardy, Edward M. Wright, Andrew Wiles. Buy at amazon

Elementary Number Theory by Underwood Dudley Buy at amazon

Probability

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

Calculus

APEX Calculus by Gregory Hartman et al

Calculus Volume 1. OpenStax project

Calculus, by Jim Fowler, Bart Snapp

Linear Algebra

Linear Algebra, by David Cherney and Others

Linear Algebra, by Jim Hefferon

Real Analysis

Real Analysis by Jiri Lebl 2016

Complex Analysis

Visual Complex Analysis  Tristan Needham 83391
Visual Complex Analysis, by Tristan Needham. Buy at amazon

Abstract Algebra

Abstract Algebra by David S., Foote, Richard M Dummit Buy at amazon

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

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)


the following i have not verified.

Algebraic Geometry

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


http://andromeda.rutgers.edu/~loftin/difffal03/manifold.pdf

http://web.stanford.edu/~jchw/WOMPtalk-Manifolds.pdf

http://webmath2.unito.it/paginepersonali/sergio.console/CurveSuperfici/AG24.pdf

Intro to Topology by Renzo


See also:

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