Awesome Online Math Textbooks
Algebra
A Course in Universal Algebra, by Stanley N. Burris and H.P. Sankappanavar
Linear Algebra, by Jim Hefferon
Elements of Abstract and Linear Algebra , by Edwin H. Connell
Notes on Lattice Theory, by J. B. Nation
Mathematics of the Rubik's cube, by David Joyner
Abstract Algebra: The Basic Graduate Year, by Robert B. Ash
A Course In Algebraic Number Theory, by Robert B. Ash
A Course In Commutative Algebra, by Robert B. Ash
Geometry
Elements, by Euclid
Calculus
Elementary Calculus: An Approach Using Infinitesimals, by H. Jerome Keisler
The Calculus Bible, by G. S. Gill
Category Theory
Categories for Everyone, by Steve Awodey
A Gentle Introduction to Category Theory - the calculational approach, by Maarten M Fokkinga
Combinatorics
A = B, by Marko Petkovsek, Herbert Wilf, and Doron Zeilberger
generatingfunctionology, by Herbert Wilf
Directions in Infinite Graph Theory and Combinatorics, edited by Reinhard Diestel
Graph Theory, by Reinhard Diestel
Logic
The Algebra of Logic, by Louis Couturat
Computability and Incompleteness, by Jeremy Avigad
Contributions to the Founding of the Theory of Transfinite Numbers, by Georg Cantor
Existential Graphs (MS 514), by Charles Sanders Peirce (transcription and commentary by John Sowa)
Grundbegriffe der Mengenlehre, by Gerhard Hessenberg
An Investigation of the Laws of Thought, by George Boole
Mathematical Logic - an Introduction, by Michal Walicki
Non-well-founded sets, by Peter Aczel
A Predicative Arithmetic, by Edward Nelson
A Problem Course in Mathematical Logic
, by Stefan Bilaniuk
Set Theoretic Real Analysis, by Krzysztof Ciesielski
Set Theory, by Alan Bain
Symbolic Logic, by Lewis Carroll
The Game of Logic, by Lewis Carroll
Probability
Introduction to Probability, by Charles Grinstead & J. Laurie Snell
Stochastic Calculus, by P. G. Dixon
Topology
Algebraic Topology, by Allen Hatcher
Knots Knotes, by J. D. Roberts
Other
Celestial Mechanics, by Pierre-Simon Laplace
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