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.

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

Differential Geometry

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

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

Functional Geometry, 2013, Sussman, Wisdom, Farr

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

Introduction to Proof Theory, 1998, by Samuel R Buss

Foundation of Math, by Stephen G Simpson


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

misc

Erlangen Program, Felix Klein

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