In order to find books in the library catalog (Mirlyn), start at http://mirlyn.lib.umich.edu.
From the basic search screen, you can search by author, title, keyword (all fields), or subject.
From the advanced search screen, you can combine searches. For example, you can search for a book by a particular author with a specific keyword in the title. You can also limit by library, publication date, language, etc.
All the basic information about an item is included in the Mirlyn record.
Library Catalogs that include books at other libraries:
The Center for Research Libraries is a particularly good place to check for microfilm sets of periodicals. You can request CRL materials through interlibrary loan--just make sure to include a note indicating that the item is held at CRL.
If MLibrary doesn't have a book that you need, there are two ways to request it:
UBorrow is a consortial program that allows you to request books from any other CIC library. The books generally arrive faster than through ILL.
Interlibrary loan (ILL) allows you to request books from libraries all over the world.