I have thoroughly revised all the ten chapters in the original edition, both making some changes due to comments from my readers and also checking for errors. I’ve also added a chapter on vectors which continues naturally from the present chapter on complex numbers.
I wrote the first version of this new chapter as an extension to the book’s website (which is now at http://www.mathssurvivalguide.com) building up the pages there gradually. Their content was influenced by emails from visitors, often with particular problems with which they hoped for help. I’ve now extensively rewritten and rearranged this material. Writing in book form, it was possible to structure the content much more closely than on the Web so that it’s easy to see the connections between the different areas and how results can be applied to later problems. The new chapter also has, of course, many practice exercises with complete solutions just as the earlier chapters have.
I’m once again very grateful to Rodie and Tony Sudbery and to David Olive for their helpful suggestions and comments. I must also thank all the people who emailed me, both with comments on the original ten chapters, and also with particular needs in using vectors which I’ve tried to fulfil here.
I hope that this two-way communication will continue. You can email me from the book’s website if you would like to. Finally, I once again hope that this book will help you and encourage you with your studies.
