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ThermodynamicsA complete undergraduate course$
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Andrew M. Steane

Print publication date: 2016

Print ISBN-13: 9780198788560

Published to Oxford Scholarship Online: January 2017

DOI: 10.1093/acprof:oso/9780198788560.001.0001

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Mathematical tools

Mathematical tools

(p.40) 5 Mathematical tools

Andrew M. Steane

Oxford University Press

Mathematical techniques for working with partial derivatives are explained. The reciprocal and reciprocity theorems are obtained. Proper and improper (exact, inexact) differentials are defined. The mathematical definition of a function of state is given, and related to integration around a closed path. Integration involving multiple variables is explained.

Keywords:   Partial derivative, reciprocal, reciprocity, improper differential, exact differential, function of state

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