Page 3: In the proof of Theorem 1.2, it should be n>m and in the proof of Theorem 1.3 it should be n<m.
Page 24: There should be a rung on the Japanese ladder on the bottom of the page between 3 and 4 at the top.
Page 172: A corrected proof of Segre's Theorem can be found here: Corrected Proof.
On page 336, the solution to problem 13 in Section 1.1 should be C(n-1,k-1).
On page 336, the solution to problem 1 in Section 1.2 should be 420.
On page 337, the solution for problem 5 in 1.5 should be 3.
On page 337, the solution for problem 1 (d) in 2.1 should be 3.
Thanks to Padraig Ó Catháin for pointing out corrections in the proof of Segre's Theorem. Thanks to Ashlyn Urbanski for additional corrections.