Coincidentally, I'm reading Roy McWeeny's Classic book Symmetry: An Introduction to Group Theory and Its Applications [0] right now. It's a "leisurely but reasonably thorough" (as its author describes it) look at finite groups with an eye towards scientific applications, a good practical introduction for readers with a decent math background.
Hermann Weyl's book Symmetry [1] is a more truly leisurely introduction, much more a discussion of the ideas than a math book.
Hermann Weyl's book Symmetry [1] is a more truly leisurely introduction, much more a discussion of the ideas than a math book.
0. http://www.amazon.com/gp/product/0486421821/
1. http://www.amazon.com/Symmetry-Hermann-Weyl/dp/0691023743