The Best Free Math Textbooks

Algebraic Topology by Allen Hatcher

Your math textbooks may be costing you an arm and a leg, so you might be surprised to learn that there are plenty of professional-quality math textbooks available for free in PDF. 

Here we've selected some of the best available free math textbooks.

Many thanks to Georgia Tech's very extensive listing of free math textbooks.
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Book of Proof Known as a text that students actually read. Approved by American Institute of Mathematics. Aesthetically pleasing page layout, original exercises.  Hammack Author's webpage for text MAA Book Review Proofs 
Introduction to Probability Many examples to highlight ideas. Download page includes answers to odd-numbered problems and many supplements to the text's discussions, e.g. Java applets.  Grinstead & Snell Download page PDF answers to odd-numbered questions Probability 
Elementary Linear Algebra Don't let the title fool you--this is a harder book than Hefferon's intro. Shorter, sophisticated notation. Includes solutions. Can download one chapter at a time. Matthews Download page Author's website Linear Algebra 
Linear Algebra Detailed. Great place to start. Can save textbook and answer key PDFs in same directory and click on exercises in textbook to bring up their solutions. Hefferon Download page PDF of answers to exercises Linear Algebra 
Linear Algebra Concise & organized textbook-turned-website. Whenever the text refers to an example or theorem, you can click on it to expand the details. Robert A. Beezer  Online Textbook homepage Author's website Linear Algebra 
Euclid's Elements No math textbook list is complete without Euclid's Elements, which was "The Book" in math for 2000 years. Euclid Download page Some versions on Amazon Geometry 
Calculus Prof. Strang is extremely gifted at teaching. Instructor's manual and student's study guide also available free. Strang Download page by MIT OCW Read reviews on Amazon Calculus 
Complex Variables Graduate year-long course. Includes all solutions. Now that's rare. Ash Download page On Amazon Analysis, complex 
An Introduction to Measure Theory  Terence Tao Preprint PDF of text On Amazon Analysis 
Algebraic Topology Conversational and readable. First taste of AT? Read first few pages of each of Ch 0, 1, 2, 4. Covers many topics outside normal grad course in algebraic topology as well. Hatcher Download page (author's website) On Amazon Algebraic topology 
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