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This book takes its place among a growing number about using a computer mathematics system as an environment for learning mathematics. These systems are already changing both the way mathematics is done and the way mathematics is used. We can be sure, then, that they will have a role in the way mathematics is learnt and taught. But they have been around for a relatively short time, and the pace of curricular change is slow; in any case, there is still a lively debate among educators about what the scale and nature of their role will be, or ought to be. The topics covered in this book roughly correspond to those traditionally studied in the A-level school syllabus in England and Wales, though recent and continuing curriculum changes mean that several topics are now studied for the first time at university. The first year undergraduate with mathematics "A" level should find this book useful for revision: for strengthening his or her understanding of topics first met at school. In North American terms, this book is suitable for freshman calculus.