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

Pérez Raposo, Álvaro ORCID: https://orcid.org/0000-0002-1263-599X (2019). The Algebraic Structure of Quantity Calculus II: Dimensional Analysis and Differential and Integral Calculus. "Measurement science review", v. 19 (n. 2); pp. 70-78. ISSN 1335-8871.

Description

Title: The Algebraic Structure of Quantity Calculus II: Dimensional Analysis and Differential and Integral Calculus
Author/s:
Item Type: Article
Título de Revista/Publicación: Measurement science review
Date: April 2019
ISSN: 1335-8871
Volume: 19
Subjects:
Freetext Keywords: Quantity calculus, Algebraic structure, Dimensional analysis, Pi-theorem
Faculty: E.T.S. de Edificación (UPM)
Department: Matemática Aplicada
Creative Commons Licenses: Recognition - No derivative works - Non commercial

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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.

More information

Item ID: 63550
DC Identifier: https://oa.upm.es/63550/
OAI Identifier: oai:oa.upm.es:63550
Official URL: https://www.measurement.sk/2019/msr-2019-0012.pdf
Deposited by: Memoria Investigacion
Deposited on: 26 Oct 2020 12:00
Last Modified: 26 Oct 2020 12:00
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