Consider the two functions Z + 1/z and z + 1/z2 both defined on N = C – {0}. Let I be the unit circle described in ccd. Consider the two integrals 1 (a) $ = dz and (b) f dz. z2 Since N is not simply connected, Cauchy theorem (Fundamental Theorem) does not apply; if it were to apply, both integrals would be zero. Evaluate the integrals by parametrization of the path.
Consider the two functions Z + 1/z and z + 1/z2 both defined on N = C – {0}. Let I be the unit circle described in ccd. Consider the two integrals 1 (a) $ = dz and (b) f dz. z2 Since N is not simply connected, Cauchy theorem (Fundamental Theorem) does not apply; if it were to apply, both integrals would be zero. Evaluate the integrals by parametrization of the path.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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