The Algebraic Structure of Quantity Calculus II: Dimensional Analysis and Differential and Integral Calculus

Raposo, Álvaro P.

doi:10.2478/msr-2019-0012

Abstract

In a previous paper, the author has introduced and studied a new algebraic structure which accurately describes the algebra underlying quantity calculus. The present paper is a continuation of that one, which extends the purely algebraic study by adding two more ingredients: an order structure and a topology. The goal is to give a solid justification of dimensional analysis and differential and integral calculus with quantities.

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The Algebraic Structure of Quantity Calculus II: Dimensional Analysis and Differential and Integral Calculus

Abstract

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