The Foundations of Analysis

In elementary introductions to mathematical analysis the treatment of the logical and algebraic foundations of the subject is necessarily rather skeletal. This book attempts to flesh out the bones of such treatment by providing an informal but systematic account of the foundations of mathematical analysis written at an elementary level. This book is entirely self-contained but as indicated above it will be of most use to university or college students who are taking or who have taken an introductory course in analysis. Such a course will not automatically cover all the material dealt with in this book and so particular care has been taken to present the material in a manner which makes it suitable for self-study. In a particular there are a large number of examples and exercises and where necessary hints to the solutions are provided. This style of presentation of course will also make the book useful for those studying the subject independently of taught course.