Calculus: An Introduction

This book is a straightforward, no-fuss introduction to Calculus. Little formal reliance is made on the reader's previous mathematical background and great care has been taken to make the book as self contained as possible. The topics are presented in a logical sequence with continuity of flow of ideas, with definitions given as succinctly as possible. Examples are given after definitions and theorems, and the more difficult proofs of these are relegated to the end of the chapter so as to allow for continuity of flow of ideas. The book includes an elementary treatment of ordinary differential equations with emphasis on first and second order differential equations. Exercises with complete solutions have also been carefully selected to supplement the text as well as to provide guidance to the correct way of writing mathematics.