INTERDYSCYPLINARY CENTRE |
AND COMPUTATIONAL MODELLING
Readership: Applied mathematicians, physicists.
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.
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