books.google.com - This book describes various approaches to the Inverse Galois Problem, a classical unsolved problem of mathematics posed by Hilbert at the beginning of the century. It brings together ideas from group theory, algebraic geometry and number theory, topology, and analysis. Assuming only elementary algebra...http://books.google.com/books/about/Groups_as_Galois_Groups.html?id=rX_5kp-fiQcC&utm_source=gb-gplus-shareGroups as Galois Groups