101 E. 21st
Non-UT affiliated Texas residents can check out books from the UT General Libraries with a Courtesy Borrower card, which costs $40 annually. Call 495-4305 for more information. Feel free to just browse, though - most libraries have an "open stack" policy. A complete list of major campus libraries is online at http://www.lib.utexas.edu/Libs/UT_Libraries.html.