The Legendre Transform

References

http://jmanton.wordpress.com/2010/11/21/introduction-to-the-legendre-transform/

http://en.wikipedia.org/wiki/Epigraph_(mathematics)

http://home.imf.au.dk/niels/lecconset.pdf

http://en.wikipedia.org/wiki/Convex_set

http://math.arizona.edu/~glickenstein/tex/legendre.pdf

http://student.fizika.org/~nnctc/legendre.pdf

http://www.nd.edu/~powers/ame.20231/zia.pdf

http://en.wikipedia.org/wiki/Legendre_transform

http://www.maths.qmul.ac.uk/~ht/archive/lfth2.pdf