Tale of an Imaginary Number

[Mohammad Hassan Murad]

     In our college mathematics probably we all have learned about the imaginary number i. We were simply introduced i as a number.
Is it a number?
What kind of number is i ?
Where does the name imaginary come from?
Is it really an imaginary number? If yes then how did this number get involved into the real mathematics?
Can imaginary number do the same thing or different thing as real number do or more?
British mathematical physicist Roger Penrose calls i magic number. What is magical about i?

To explore this readers are requested to download and read the attached file. Author hopes to have some constructive comments from the scholars.