M. Aigner, G. Ziegler, Proofs from THE BOOK.

This is a book that every mathematician should have. From the reviews:

"*Martin Aigner and Günter Ziegler succeeded admirably in putting together a broad collection of theorems and their proofs that would undoubtedly be in the Book of Erdös. The theorems are so fundamental, their proofs so elegant and the remaining open questions so intriguing that every mathematician, regardless of speciality, can benefit from reading this book. ...* "