The Calculus of Fields - Absolute Values

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Absolute Values and PlacesWe want to apply calculus to fields, but tools are needed. For theordinary calculus, on \(\mathbb{R}\) or\(\mathbb{C}\), the most important roleis played by limit:\[\lim_{x \to a}f(x)=A.\]However we cannot immigrate absolute value into other fieldsdirectly. Indeed, if the f……