The principal aim of this book is to introduce university level mathematics - both algebra and calculus. Most of the material is presented in the traditional way, but an innovative approach is taken with emphasis on the use of Maple and in presenting a modern theory of integration. To help readers with their own use of this software, a list of Maple commands employed in the book is provided. The book advocates the use of computers in mathematics in general, and in pure mathematics in particular. It makes the point that results need not be correct just because they come from the computer. A careful and critical approach to using computer algebra systems persists throughout the text.Adams, P. is the author of 'Introduction To Mathematics With Maple', published 2004 under ISBN 9789812560094 and ISBN 9812560092.