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Multidimensional Residue Theory and Applications - AMS Book

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Description

Explore the advanced landscape of complex analysis with Multidimensional Residue Theory and Applications. Published by the American Mathematical Society as part of the Mathematical Surveys and Monographs series, this text examines multidimensional residues through the lens of analytic continuation for holomorphic bundle-valued current maps. This specific approach provides the versatility needed to study residues outside the classical complete intersection case. The content connects residue theory to diverse mathematical fields, including partial differential and integral equations, computer algebra, arithmetic or diophantine geometry, and mathematical physics. It serves as a specialized resource for researchers and students working within geometry and topology.

Key Features

This volume is part of the Mathematical Surveys and Monographs series by the American Mathematical Society.

The text defines and studies multidimensional residues via analytic continuation for holomorphic bundle-valued current maps.

The methodology offers flexibility to study residues outside the classical case of complete intersection.

Content connects residue theory to fields such as partial differential equations and mathematical physics.

The book provides applications for computer algebra and arithmetic or diophantine geometry.

Product Specifications

Format
paperback
Domain
Amazon UK
Release Date
19 December 2023
Listed Since
02 October 2023

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