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Krauss, L. and Starkman, G., (1995), TEACHING ABOUT COSMOLOGY: A Programmed Guide for High School Teaching and Learning, Available through the AAPT publications office.
A great resouce, suitable for high school and beginning undergraduate levels. Good sources of activities - some very humorous indeed! Text and background information are very clearly written, but try out the activities yourself first, as some of the instructions are rather sketchy, "imho" (jv).
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Ryden, B., (2003), INTRODUCTION TO COSMOLOGY,
Addison Wesley, 244 p.
A very easy-to-read undergraduate text on cosmology. Equations are well explained; good problems. Suitable for upper division undergraduate level, and a good basic book for anyone who wants to gain a working knowledge of General Relativity with just a calculus and basic diff. eq. background.
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Hartle, J., (2003), GRAVITY: An Introduction to Einstein's General Relativity, Addison Wesley, 582 p.
Excellent upper division undergraduate to beginning graduate level text by one of the foremost authorities in the world on the subject, Professor Jim Hartle from U.C. Santa Barbara. Harder than Ryden, but easier than Carroll, this is a good place to review your tensor math. He starts with a great explanation of Special Relativity; numerous applications of GR, from GPS systems to black hole event horizons, and ends up developing the full blown Einstein Equations. Excellent explanations of modern cosmology, too.
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Carroll, S.M.,(2004), SPACETIME and GEOMETRY: An Introduction to General Relativity, Addison Wesley, 510 p.
Excellent upper division graduate text - difficult to be sure, but very readable and conversational. Extremely mathematical, he covers all bases. A good reference to *really* understand all the gory details of the math.
You can download Sean's lecture notes and preliminary notes for the book on his web page: http://pancake.uchicago.edu/~carroll/
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