<abstract xmlns="http://www.w3.org/1999/xhtml"><p>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.</p></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.

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

Measurement Science Review

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

In a previous paper, the author has introduced and studied a new algebraic structure which accurately describes the algebra underlying quantity calculus. The...

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

Publicado en línea: 02 may 2019

Páginas: 70 - 78

Recibido: 15 nov 2018

Aceptado: 10 abr 2019

DOI: https://doi.org/10.2478/msr-2019-0012

Palabras clave
Quantity calculus, algebraic structure, dimensional analysis, pi-theorem

© 2019 Álvaro P. Raposo, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

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

Publicado en línea: 02 may 2019

Páginas: 70 - 78

Recibido: 15 nov 2018

Aceptado: 10 abr 2019

DOI: https://doi.org/10.2478/msr-2019-0012

Palabras claveQuantity calculus, algebraic structure, dimensional analysis, pi-theorem

© 2019 Álvaro P. Raposo, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Palabras clave
Quantity calculus, algebraic structure, dimensional analysis, pi-theorem