I have written this book mainly for students who will need to apply maths in science or
engineering courses. It is particularly designed to help the foundation or first year of such
a course to run smoothly but it could also be useful to specialist maths students whose
particular choice of A-level or pre-university course has meant that there are some gaps in
the knowledge required as a basis for their University course. Because it starts by laying the
basic groundwork of algebra it will also provide a bridge for students who have not studied
maths for some time.
The book is written in such a way that students can use it to sort out any individual
difficulties for themselves without needing help from their lecturers.
A message to students
I have made this book as much as possible as though I were talking directly to you about the
topics which are in it, sorting out possible difficulties and encouraging your thoughts in
return. I want to build up your knowledge and your courage at the same time so that you are
able to go forward with confidence in your own ability to handle the techniques which you
will need. For this reason, I don’t just tell you things, but ask you questions as we go along
to give you a chance to think for yourself how the next stage should go. These questions are
followed by a heavy rule like the one below