A mathematical theory of physical units, dimensions, and measures

DOI10.1007/BF00281156zbMath0444.70002MaRDI QIDQ1144958

Donald E. Carlson

Publication date: 1979

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

zbMATH Keywords

measuresdimensionsfundamental systems of unitsphysical quantitiesdimensional homogeneityphysical unitspre-unitstransformation of units

Mathematics Subject Classification ID

Applications of set theory (03E75) Physics (00A79) Axiomatics, foundations (70A05)

Related Items (4)

Scalable monoids and quantity calculus ⋮ Donald E. Carlson (1938--2010), a diminutive giant. To the memory of our longtime colleague, mentor, and friend ⋮ Mathematical structure of physical quantities ⋮ A review of dimensional assessment for statistics and probability

Cites Work

• The Pi theorem of dimensional analysis
• On some new results in dimensional analysis
• Physical entities and mathematical representation
• The Mathematics of Physical Quantities: Part I: Mathematical Models for Measurement
• On the foundations of Dimensional Analysis
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