This version of the Instructors' Solution Manual replaces one available during the 2001{2002
academic year; some corrections have been made and several solutions added. Please write us at
jhh8@cornell.edu with comments or corrections.
If you would like to be noti¯ed by e-mail when errata are discovered in the textbook and the
solution manual, please write Barbara Hubbard at hubbard@MatrixEditions.com with \errata lists"
as the subject. Please indicate how you wish to be addressed (Professor, Dr., Mr., Ms., Miss, ::: ).
A student version of the solution manual contains solutions to all odd-numbered problems in Chap-
ters 0{6 and many from Appendix A. It is published by Matrix Editions (www.MatrixEditions.com).
To avoid confusion with numbers in the text, in the rare cases where we state new propositions
or lemmas in the solutions, we number them consecutively throughout the chapter.
In a number of solutions we mention mistakes in the text, referring to \the ¯rst printing." (For
example, see Solution 1.5.12.) As of July, 2003, there is no second printing; we use that terminology
so that this manual can be used for subsequent printings as well.