Andrew Baker's Mathematics Lecture Notes

I've just stumbled upon a set of interesting lecture notes by Andrew Baker, a member of the Department of Mathematics of the University of Glasgow. Algebraic Topology is the author's main research area, he also maintains the British Topology Home Page.

The notes are in PDF format and available for free download.

Titles:
An Introduction to p-adic Numbers and p-adic Analysis (final year Honours course)Representations of Finite Groups (BSc Honours degree)
Algebra and Number Theory (level 3 non-Honours degree)
An Introduction to Galois Theory (level 4 Honours degree)
Groups and symmetry (level 2)
Basic Linear Algebra (level 2)
Notes on chain complexes (postgraduate)

Here is the link to the Lecture notes.

Paul Dawkins' Online Math Notes

Paul Dawkins' web site at Lamar University is an excellent source of online math tutorials and lecture notes at the freshmen level. Most of the pages are available both for online reading and for download in PDF format. The texts cover algebra (pre-calculus topics), calculus (three parts), linear algebra, and differential equations. Dawkins has added some extra introductory material, if you need to review the basic algebra, trigonometry, exponential functions, complex numbers, etc. An essay on How To Study Math is my favorite.

Visit Paul's Online Math Notes

The Hawking Paradox: Video

The strange and exciting mix of general relativity and quantum mechanics results in the so called black hole information paradox. The Discovery Channel show "The Hawking Paradox” explains that information lost in black holes could be saved in parallel universes where no black holes exist. See the complete 49 min video here: