INTERDYSCYPLINARY CENTRE FOR MATHEMATICAL AND COMPUTATIONAL MODELLING | |
Readership: Applied mathematicians, physicists.
Requisites: Calculus.
Topology, Differential calculus in normed spaces, Integration Theory, which should normally have come before, are not prerequisite strictly speaking, but for readers not drilled in that, some familiarity with epsilon-delta like analysis will help. A taste for the definition-proposition-proof style is welcome.
Motivation: The notion of "pair of convex functions in Fenchel
duality" is the target. This tool is important in mathematical
modelling, because it helps express a large variety of nonlinear
constitutive laws, as explained in the course.
To download: Click here (about 450 k in .pdf format) or here (about 2300 k in .ps format, beware). The layout is in two vertical columns on landscape-displayed A4 pages, to make full use of a typical laptop screen.
What's in there:
This is a preliminary version, © A. Bossavit, June 03. Comments and suggestions welcome.
My email address: bossavit@lgep.supelec.fr