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Multidimensional Residue Theory and Applications Stacie Craft DeFreitas how to conduct a salesResidue theory is an active area of complex analysis with connections and applications to fields as diverse as partial differential and integral equations, computer algebra, arithmetic or diophantine geometry, and mathematical physics. Multidimensional Residue Theory and Applications defines and studies multidimensional residues via analytic continuation for holomorphic bundle valued current maps. This point of view offers versatility and flexibility