Functional analysis, calculus of variations and numerical methods for models in physics and engineering / Fabio Silva Botelho.
Publisher: Boca Raton : CRC Press, 2022Description: 576 pages : illustrations (black and white) ; 26 cmContent type:- text
- still image
- unmediated
- volume
- 9780367510039 (pbk.) :
- 23
- QA315
Item type | Home library | Class number | Status | Date due | Barcode | |
---|---|---|---|---|---|---|
2 week loan | Trinity Green Library TG Main Collection | 515.64/BOT (Browse shelf(Opens below)) | Available | 7412444170 |
Functional analysis and the calculus of variations deals with the real analysis formalism for functionals and operators defined on spaces of infinite dimension. In particular, the calculus of variations generalizes and extends the standard differential and integral calculus theory for n real variables to infinite dimensional spaces of real functions. The book discusses the basic concepts of functional analysis, measure and integration theory, calculus of variations and duality aiming applications to variational problems of non-convex nature, such as the Ginzburg-Landau system in superconductivity, shape optimization models, dual variational formulations for micro-magnetism and others.
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