Following is a list of typos (more like questionable items) in the text:

Convex Analysis and Nonlinear Optimization, 2nd Edition, by J.M. Borwein, and A.S. Lewis, 2000, Springer Verlag.
1. Page 40, Problem #23: (-infinity,infinity), i.e. the - is missing.
and the previous edition Convex Analysis and Nonlinear Optimization, by J.M. Borwein, and A.S. Lewis, 1999, Springer Verlag.
These typos supplement the typos listed by the authors.
1. Page 5, Problem 4: The assumption that the set C is not empty is needed.
2. Page 11, Problem 5 (a): The definition of sqrt(X²) is needed, i.e. the definition of the square-root of a positive definite matrix P is the unique positive definite matrix R such that RR=P.
3. Page 53, line 1: the Max formula (3.1.9) (i.e. not 3.1.8).
4. Page 90, line 10: In the proof, the reference is to Theorem 3.2.8; not to (3.2.8).
5. Page 72, Problem 12 part b: If Z = Diag(e) (all ones) and X=-2Diag(e), then X is not Z but Z-X is psd. So it appears that the definition of the set D in this part needs X psd.