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008 220322s2022 flua f 000|0|eng|d
020 _a9780367510039 (pbk.) :
_c�58.99
040 _aStDuBDS
_beng
_cStDuBDS
_dStDuBDSZ
_erda
050 4 _aQA315
072 7 _aMAT
_2ukslc
082 0 4 _223
100 1 _aBotelho, Fabio Silva,
_eauthor.
245 1 0 _aFunctional analysis, calculus of variations and numerical methods for models in physics and engineering /
_cFabio Silva Botelho.
264 1 _aBoca Raton :
_bCRC Press,
_c2022.
300 _a576 pages :
_billustrations (black and white) ;
_c26 cm
336 _atext
_2rdacontent
336 _astill image
_2rdacontent
337 _aunmediated
_2rdamedia
338 _avolume
_2rdacarrier
520 8 _aFunctional 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.
650 0 _aCalculus of variations.
650 0 _aFunctional analysis.
650 7 _aMathematics.
_2ukslc
942 _2ddc
999 _c90187
_d90187