LEADER 02242nam 2200541Ia 450 001 9910789870903321 005 20230801221528.0 010 $a0-8264-3695-1 010 $a1-283-38032-3 010 $a9786613380326 010 $a1-4411-3842-0 035 $a(CKB)2670000000139787 035 $a(EBL)831533 035 $a(OCoLC)769344405 035 $a(MiAaPQ)EBC831533 035 $a(Au-PeEL)EBL831533 035 $a(CaPaEBR)ebr10523435 035 $a(CaONFJC)MIL338032 035 $a(EXLCZ)992670000000139787 100 $a20111229d2012 uy 0 101 0 $aeng 135 $aur|n|---||||| 200 00$aA to Z of critical thinking$b[electronic resource] /$fedited by Beth Black 210 $aLondon $cContinuum International Publishing$d2012 215 $a1 online resource (197 p.) 300 $aDescription based upon print version of record. 311 $a0-8264-2055-9 311 $a1-4411-1797-0 327 $aHalf-title; Cover; Title; Copyright; Dedication; Contents; Foreword; List of Entries 330 $aCritical thinking is becoming increasingly prominent as an academic discipline taught and examined in schools and universities, as well as a crucial skill for everyday life. To be a successful critical thinker it is vital to understand how the different concepts and terms are defined and used. The terminology often presents a stumbling block for the beginner, since much of it is used imprecisely in everyday language. This definitive A to Z guide provides precise definitions for over 130 terms and concepts used in critical thinking. Each entry presents a short definition followed by a more deta 606 $aCritical thinking 606 $aCreative thinking 606 $aThought and thinking$vProblems, exercises, etc 606 $aThought and thinking 615 0$aCritical thinking. 615 0$aCreative thinking. 615 0$aThought and thinking 615 0$aThought and thinking. 676 $a153.42 701 $aBlack$b Beth$01482952 712 02$aCambridge Assessment. 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910789870903321 996 $aA to Z of critical thinking$93700912 997 $aUNINA LEADER 06936nam 2201513 a 450 001 9910789737103321 005 20200520144314.0 010 $a1-283-37995-3 010 $a9786613379955 010 $a1-4008-4269-7 024 7 $a10.1515/9781400842698 035 $a(CKB)2670000000133884 035 $a(EBL)827806 035 $a(OCoLC)769343169 035 $a(SSID)ssj0000575876 035 $a(PQKBManifestationID)11396459 035 $a(PQKBTitleCode)TC0000575876 035 $a(PQKBWorkID)10553953 035 $a(PQKB)11008932 035 $a(StDuBDS)EDZ0001756336 035 $a(DE-B1597)447361 035 $a(OCoLC)979582934 035 $a(DE-B1597)9781400842698 035 $a(Au-PeEL)EBL827806 035 $a(CaPaEBR)ebr10521870 035 $a(CaONFJC)MIL337995 035 $z(PPN)199244979 035 $a(MiAaPQ)EBC827806 035 $a(PPN)187959625 035 $a(EXLCZ)992670000000133884 100 $a20111017d2012 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aFre?chet differentiability of Lipschitz functions and porous sets in Banach spaces$b[electronic resource] /$fJoram Lindenstrauss, David Preiss, Jaroslav Tiser 205 $aCourse Book 210 $aPrinceton $cPrinceton University Press$d2012 215 $a1 online resource (436 p.) 225 1 $aAnnals of mathematics studies ;$vno. 179 300 $aDescription based upon print version of record. 311 $a0-691-15355-8 311 $a0-691-15356-6 320 $aIncludes bibliographical references and indexes. 327 $t Frontmatter -- $tContents -- $tChapter One: Introduction -- $tChapter Two: Gâteaux differentiability of Lipschitz functions -- $tChapter Three: Smoothness, convexity, porosity, and separable determination -- $tChapter Four: ?-Fréchet differentiability -- $tChapter Five: ?-null and ?n-null sets -- $tChapter Six: Férchet differentiability except for ?-null sets -- $tChapter Seven: Variational principles -- $tChapter Eight: Smoothness and asymptotic smoothness -- $tChapter Nine: Preliminaries to main results -- $tChapter Ten: Porosity, ?n- and ?-null sets -- $tChapter Eleven: Porosity and ?-Fréchet differentiability -- $tChapter Twelve: Fréchet differentiability of real-valued functions -- $tChapter Thirteen: Fréchet differentiability of vector-valued functions -- $tChapter Fourteen: Unavoidable porous sets and nondifferentiable maps -- $tChapter Fifteen: Asymptotic Fréchet differentiability -- $tChapter Sixteen: Differentiability of Lipschitz maps on Hilbert spaces -- $tBibliography -- $tIndex -- $tIndex of Notation 330 $aThis book makes a significant inroad into the unexpectedly difficult question of existence of Fréchet derivatives of Lipschitz maps of Banach spaces into higher dimensional spaces. Because the question turns out to be closely related to porous sets in Banach spaces, it provides a bridge between descriptive set theory and the classical topic of existence of derivatives of vector-valued Lipschitz functions. The topic is relevant to classical analysis and descriptive set theory on Banach spaces. The book opens several new research directions in this area of geometric nonlinear functional analysis. The new methods developed here include a game approach to perturbational variational principles that is of independent interest. Detailed explanation of the underlying ideas and motivation behind the proofs of the new results on Fréchet differentiability of vector-valued functions should make these arguments accessible to a wider audience. The most important special case of the differentiability results, that Lipschitz mappings from a Hilbert space into the plane have points of Fréchet differentiability, is given its own chapter with a proof that is independent of much of the work done to prove more general results. The book raises several open questions concerning its two main topics. 410 0$aAnnals of mathematics studies ;$vno. 179. 606 $aBanach spaces 606 $aCalculus of variations 606 $aFunctional analysis 610 $aAsplund space. 610 $aBanach space. 610 $aBorel sets. 610 $aEuclidean space. 610 $aFrechet differentiability. 610 $aFréchet derivative. 610 $aFréchet differentiability. 610 $aFréchet smooth norm. 610 $aGâteaux derivative. 610 $aGâteaux differentiability. 610 $aHilbert space. 610 $aLipschitz function. 610 $aLipschitz map. 610 $aRadon-Nikodým property. 610 $aasymptotic uniform smoothness. 610 $aasymptotically smooth norm. 610 $aasymptotically smooth space. 610 $abump. 610 $acompleteness. 610 $acone-monotone function. 610 $aconvex function. 610 $adeformation. 610 $aderivative. 610 $adescriptive set theory. 610 $aflat surface. 610 $ahigher dimensional space. 610 $ainfinite dimensional space. 610 $airregular behavior. 610 $airregularity point. 610 $alinear operators. 610 $alow Borel classes. 610 $alower semicontinuity. 610 $amean value estimate. 610 $amodulus. 610 $amultidimensional mean value. 610 $anonlinear functional analysis. 610 $anonseparable space. 610 $anull sets. 610 $aperturbation function. 610 $aperturbation game. 610 $aperturbation. 610 $aporosity. 610 $aporous sets. 610 $aregular behavior. 610 $aregular differentiability. 610 $aregularity parameter. 610 $arenorming. 610 $aseparable determination. 610 $aseparable dual. 610 $aseparable space. 610 $aslice. 610 $asmooth bump. 610 $asubspace. 610 $atensor products. 610 $athree-dimensional space. 610 $atwo-dimensional space. 610 $atwo-player game. 610 $avariational principle. 610 $avariational principles. 610 $a?-null sets. 610 $a?-Fréchet derivative. 610 $a?-Fréchet differentiability. 610 $a?-porous sets. 615 0$aBanach spaces. 615 0$aCalculus of variations. 615 0$aFunctional analysis. 676 $a515/.88 686 $aSI 830$2rvk 700 $aLindenstrauss$b Joram$f1936-$041187 701 $aPreiss$b David$0515729 701 $aTis?er$b Jaroslav$f1957-$0515783 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910789737103321 996 $aFréchet differentiability of Lipschitz functions and porous sets in Banach spaces$9854568 997 $aUNINA LEADER 02862oam 2200541 c 450 001 9910563027803321 005 20240922213743.0 024 7 $a10.3726/b12841 035 $a(CKB)4340000000238998 035 $a(oapen)https://directory.doabooks.org/handle/20.500.12854/36778 035 $a(PH02)9783954794362 035 $a(MiAaPQ)EBC31203222 035 $a(oapen)doab36778 035 $a(EXLCZ)994340000000238998 100 $a20240525d1989 uy 0 101 0 $ager 135 $aurnnunnnannuu 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 04$aDie geistlichen Grundlagen der Ikone$fWolfgang Kasack 205 $a1st, New ed. 210 $aFrankfurt a.M$cPH02$d1989 215 $a1 online resource (172 p.)$c, EPDF 225 0 $aArbeiten und Texte zur Slavistik$v45 300 $aPeter Lang GmbH, Internationaler Verlag der Wissenschaften 311 08$a3-95479-436-5 327 $aIkonen in Deutschland 1986 ? Zur Einfu?hrung von Wolfgang Kasack - Gedanken zur Wesensbestimmung der Ikone von Rainer Stichel - Religio?se Grundlagen der Ikonenmalerei von Bischof Alipij - Zur Neurophysiologie und Theologie des Sehens und der Ikonen von Ambrosius Backhaus - Der Bilderstreit und das Siebte o?kumenische Konzil von Priestermo?nch Mark (Dr. Michael Arndt) - Die liturgische Funktion der Ikonostase von Niko?aj Artemoff - Die Ikone der heiligen Dreifaltigkeit von Andrej Rubljow von Paul Evdokimov - Die Engel im kirchlichen Raum von Friedrich Scholz - N. S. Leskows Entdeckung der Ikone von Angela Martini-Wonde - Die Ikone im Werk von Iwan S. Schmeljow von Wolfgang Schriek - Wladimir Solouchins literarischer Beitrag zur Rehabilitierung der Ikone in der Sowjetunion von Frank Go?bler - Das Bildlicht in der byzantinischen Malerei von Heinrich Theissing 330 $aDieser Band erga?nzt zahlreiche kunsthistorische und a?sthetische Untersuchungen zur russischen Ikone. Er vereint Forschungen zu den geistigen Grundlagen der Ikonenmalerei und geht dabei von ihrem prima?r religio?sen Anliegen aus. Die Beitra?ge stammen von Geistlichen der Russischen Orthodoxen Kirche und Wissenschaftlern verschiedener Disziplinen. 606 $aHistory of art / art & design styles$2bicssc 610 $ageistlichen 610 $aGrundlagen 610 $aIkone 610 $aIkone in der Sowjetunion 610 $aIkonenmalerei 610 $aIwan Schmeljow 610 $aKasack 610 $aliturgische Funktion der Ikonostase 610 $arussische Orthodoxe Kirche 615 7$aHistory of art / art & design styles 700 $aKasack$b Wolfgang$4edt$0611258 702 $aKasack$b Wolfgang$4edt 801 0$bPH02 801 1$bPH02 906 $aBOOK 912 $a9910563027803321 996 $aDie geistlichen Grundlagen der Ikone$93021765 997 $aUNINA