-----Original Message----- From: Paul SooHoo [mailto:firstname.lastname@example.org] Sent: Tuesday, November 29, 2011 9:52 PM To: AP Calculus Subject: [ap-calculus] euler's identity
I have a student that asked the meaning of Euler's identity (he said he saw it on a youtube video which astounded me). Beyond the fact that it contains many important mathematical constants it's not clear to me at all how it works i.e. I never took a course in complex analysis.
Is there a simple way of understanding what it means to have e^i or is it too hard to describe without a background in complex analysis.