This chapter will enable you to learn the concepts and application of:

- What is Complex number.
- Advance application of complex number

*N* is closed for addition and multiplication. The solution of *x* + 5 = 3 is not contained in *N* but in Z.

Solution of *5x =* 3 is not contained in Z but in *Q.*

*Q* does not cover the number line completely, *R* does.

Solution of *x ^{2} = 2* is not contained in

Solution of *x ^{2}* + 1 = 0 is not contained in

(∵ C is a field)

If for the numbers (*a, b*) and (*c, d*) of *R × R,* equality, addition and multiplication are defined as under then *R × R* is known as the set of complex numbers *C.*

**Equality:** *(a,b) = (c,d)* ⇔ *a = c* ;

Start Free Trial

No credit card required