Complex Analysis

1

Complex Numbers

1.1 INTRODUCTION

We are familiar with various types of number systems and their gradual development. The natural numbers are the counting numbers 1, 2, 3, … From the viewpoint that these numbers are not closed under subtraction, the natural numbers were expanded to the set of integers. It was observed that the integers were not sufficient to solve the division problem. Thus there was the need to extend them to the set of rational numbers. Further, the need arose to include irrational numbers such as and π in the number system. The rational and irrational numbers were then collectively termed as real numbers. But some polynomial ...