(a) Evaluate the integral: O f(2) dz , where f(z) = z and C is the closed path defined as the square with vertices (corners) at 1 – i, 1+ i, –1 +i and -1 – i. (b) Evaluate the integral of f(z) = z (also denoted as z* in class) along the same closed path.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.6: The Matrix Of A Linear Transformation
Problem 29EQ
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(a) Evaluate the integral:
O f(z) dz ,
where f(z)
= z and C is the closed path defined as the square with vertices
(corners) at 1
i, 1+ i, –1+ i and –1 – i.
(b) Evaluate the integral of f(z)
= z (also denoted as z* in class) along the same
closed path.
Transcribed Image Text:(a) Evaluate the integral: O f(z) dz , where f(z) = z and C is the closed path defined as the square with vertices (corners) at 1 i, 1+ i, –1+ i and –1 – i. (b) Evaluate the integral of f(z) = z (also denoted as z* in class) along the same closed path.
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