Exact and inexact differentials in the early development of mechanics and thermodynamics

AUTOR(ES)

Oliveira, Mário J. de

FONTE

Rev. Bras. Ensino Fís.

DATA DE PUBLICAÇÃO

02/12/2019

RESUMO

Abstract We give an account and a critical analysis of the use of exact and inexact differentials in the early development of mechanics and thermodynamics, and the emergence of differential calculus and how it was applied to solve some mechanical problems, such as those related to the cycloidal pendulum. The Lagrange equations of motions are presented in the form they were originally obtained in terms of differentials from the principle of virtual work. The derivation of the conservation of energy in differential form as obtained originally by Clausius from the equivalence of heat and work is also examined.

Documentos Relacionados

• Geographical and social class differentials in stroke mortality--the influence of early-life factors: comments on papers by Maheswaran and colleagues.
• Trade Liberalization and the Evolution of Skill Earnings Differentials in Brazil
• Trade Liberalization and the Evolution of Skill Earnings Differentials in Brazil
• THE BIRTH OF OPHTHALMOLOGY AND ITS DEVELOPMENT IN EARLY ARABIC LITERATURE
• The Effect of Exogenous Abscisic Acid on Stomatal Development, Stomatal Mechanics, and Leaf Gas Exchange in Tradescantia virginiana