‘Any student in difficulties with analysis should think seriously about buying (this)’- New Scientist Analysis is a challenging, yet fascinating, and surprising subject. This book is honest about the former characteristic but stresses the latter. What is Mathematical Analysis? has been written to help the new undergraduate in what is generally acknowledged to be the most difficult part of a first-year undergraduate course. The topics included are standard for the subject. The treatment, however, is not. Students’ main difficulties arise from the rapidity with which many new ideas and skills are expected to be absorbed. This book concentrates on the ideas which made analysis necessary and then followed up, in this context, with just a few of the technicalities required. In this way, the picture of the analysis presented is enjoyable without being oversimplified and should enable students to approach the subject with confidence and enthusiasm.