<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

Published Online: May 02, 2019

Page range: 70 - 78

Received: Nov 15, 2018

Accepted: Apr 10, 2019

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

Keywords
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

Published Online: May 02, 2019

Page range: 70 - 78

Received: Nov 15, 2018

Accepted: Apr 10, 2019

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

KeywordsQuantity 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.

Keywords
Quantity calculus, algebraic structure, dimensional analysis, pi-theorem