Editing Legendre transform
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The '''Legendre transform''' is used to perform a change of variables (see, for example, Ref. | The '''Legendre transform''' (Adrien-Marie Legendre) | ||
is used to perform a change ''change of variables'' | |||
(see, for example, Ref. 1, Chapter 4 section 11 Eq. 11.20 - 11.25): | |||
If one has the function <math>f(x,y);</math> one can write | If one has the function <math>f(x,y);</math> one can write | ||
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:<math>\frac{\partial g}{\partial x}= p, ~~~ \frac{\partial g}{\partial q}= -y</math>. | :<math>\frac{\partial g}{\partial x}= p, ~~~ \frac{\partial g}{\partial q}= -y</math>. | ||
==Example== | |||
==See also== | ==See also== | ||
*[[Thermodynamic relations]] | *[[Thermodynamic relations]] | ||
==References== | ==References== | ||
#Mary L. Boas "Mathematical methods in the Physical Sciences" John Wiley & Sons, Second Edition. | |||
#[http://www.iupac.org/publications/pac/2001/7308/7308x1349.html Robert A. Alberty "Use of Legendre transforms in chemical thermodynamics", Pure and Applied Chemistry '''73''' pp. 1349-1380 (2001)] | |||
[[category: mathematics]] | [[category: mathematics]] |