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...Ma analysis in several variables school of mathematics trinity college michaelmas term section multiple integrals david r wilkins bounded continuous functions weconsiders real valued over regions that are products closed intervals any subset n dimensional euclidean space rn is a product set it follows from the extreme value theorem function on necessarily also uniformly see continued proposition let be an integer greater than and b numbers where for i f g x z bn t dt all tuples xn satisfying then proof some positive number given chosen so therefore there exists such u applying we...