The Complex Number Song

(Tune:John Brown's Body)



	Mine eyes have seen the glory of the Argand diagram 
	They have seen the i's and thetas of De Moivre's mighty plan 
	Now I can find the complex roots with consummate elan 
	With the root of minus one 

	Complex numbers are so easy 
	Complex numbers are so easy 
	Complex numbers are so easy 
	With the root of minus one 

	In Cartesian co-ordinates the complex plane is fine 
	But the grandeur of the polar form this beauty doth outshine 
	You be raising i+40 to the power of 99 
	With the root of minus one 
	
	You'll realise your understanding was just second rate 
	When you see the power and magic of the complex conjugate 
	Drawing vectors corresponding to the roots of minus eight 
	With the root of minus one 







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