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In this section we want to see how the residue theorem can be used to computing deﬁnite real integrals. Why should soft file? All of the free books at ManyBooks are downloadable — some directly from the ManyBooks site, some from other websites (such as Amazon). Understand the concept clearly by consistently practicing the Multiple Choice Questions and score well in your […] 0. The residue theorem has applications in functional analysis, linear algebra, analytic number theory, quantum ﬁeld theory, algebraic geometry, Abelian integrals or dynamical systems. Our focus will be specifically on those singularities at which . Residues can be computed quite easily and, once Residues can be computed quite easily and, once Mcq On Residues Complex Analysis - ditkeerwel.nl Page 8/27 A question about Riemann Removable Singularity and Laurent series. It’s easy to compute: u x= 3x2 3y2 + 6x; u xx= 6x+ 6 u y= 6xy 6y; u yy= 6x 6 It’s clear that r2u= u xx+ u yy= 0, so uis harmonic. Answer. 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