"Cameron Freer, an instructor in pure mathematics at MIT, is working on an intriguing project called vdash.org (video from O'Reilly Ignite Boston 4): a math wiki which only allows true theorems to be added! Based on Isabelle, a free-software theorem prover, the wiki will state all of known mathematics in a machine-readable language and verify all theorems for correctness, ...

... They're called dual numbers because this particular algebra was apparently first described by Clifford and that's what he called them. The important point to note is that e^2==0. We can use the fact that f(x+e)=f(x)+ef'(x) to compute derivatives of functions. For example if we define > f x = x^3+2*x^2-3*x+1 and evaluate f (1+e) we get D 1 4. We can directly read off f(1)=1 and f'(1)=4. ...

A list of links to useful mathematical textbooks available for free on the Internet. They are all legal and maintained by their authors or by the legitimate publisher.

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Bellow I provide links for almost 40 of the best online books I was able to locate through a few quick searches on google.