LEADER 02309nam 2200493 450 001 9910467009603321 005 20200520144314.0 010 $a3-11-053183-6 010 $a3-11-053298-0 024 7 $a10.1515/9783110532982 035 $a(CKB)4100000005958620 035 $a(MiAaPQ)EBC5159608 035 $a(DE-B1597)477386 035 $a(OCoLC)1049628704 035 $a(DE-B1597)9783110532982 035 $a(Au-PeEL)EBL5159608 035 $a(EXLCZ)994100000005958620 100 $a20181003d2018 uy 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aApplied nonlinear functional analysis $ean introduction /$fNikolaos S. Papageorgiou and Patrick Winkert 210 1$aBerlin ;$aBoston :$cDe Gruyter,$d2018. 215 $a1 online resource (622 pages) 225 1 $aDe Gruyter textbook 311 $a3-11-051622-5 327 $tFrontmatter -- $tPreface -- $tContents -- $t1. basic topology -- $t2. measure theory -- $t3. basic functional analysis -- $t4. banach spaces of functions and measures -- $t5. convex functions - nonsmooth analysis -- $t6. nonlinear analysis -- $tBibliography -- $tIndex -- $tList of symbols 330 $aThe aim of this book is to provide a concise but complete introduction to the main mathematical tools of nonlinear functional analysis, which are also used in the study of concrete problems in economics, engineering, and physics. This volume gathers the mathematical background needed in order to conduct research or to deal with theoretical problems and applications using the tools of nonlinear functional analysis. Contents Basic Topology Measure Theory Basic Functional Analysis Banach Spaces of Functions and Measures Convex Functions - Nonsmooth Analysis Nonlinear Analysis 410 0$aDe Gruyter textbook. 606 $aNonlinear functional analysis 608 $aElectronic books. 615 0$aNonlinear functional analysis. 676 $a515.7 700 $aPapageorgiou$b Nikolaos Socrates$0730633 702 $aWinkert$b Patrick 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910467009603321 996 $aApplied nonlinear functional analysis$92467483 997 $aUNINA