xviii Preface to the second edition previous discussions on blow-up of solutions, on group and phase velocities, and on several further subjects. I have also updated and greatly increased citations to books in the bibliography and have moved references to research articles to within the text. There are countless further minor modifications in notation and wording. Most importantly, I have added about 80 new exercises, most quite interesting and some rather elaborate. There are now over 200 in total. And there is a yacht race among the problems for Chapter 10. LCE January, 2010 Berkeley This second printing of the second edition corrects all known mistakes, as of February, 2015.
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