Unformatted text preview: e z = e x (cos y + i sin y ) as stated in class. (iv) We showed in class that z → w = e z is locally invertible. Write down an inverse for the exponential valid in a neighborhood of w = πi 3 . Where is the local inverse (the logarithm) deﬁned? 1...
View
Full Document
 Winter '11
 DragosOprea
 Math, Taylor Series, Natural logarithm, Logarithm, Taylor expansion, Taylor expansion ez

Click to edit the document details