Introduces university level mathematics; both algebra and calculus. New concepts are motivated before being introduced through rigorous definitions. All theorem... » 

Introduces university level mathematics; both algebra and calculus. New concepts are motivated before being introduced through rigorous definitions. All theorems are proved and great care is taken over the logical structure of the material presented. 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. «