LEADER 03732nam 22008775 450 001 9910438144803321 005 20251202141532.0 010 $a9781461452577 010 $a1461452570 024 7 $a10.1007/978-1-4614-5257-7 035 $a(CKB)2670000000315881 035 $a(EBL)1030491 035 $a(OCoLC)827617036 035 $a(SSID)ssj0000830674 035 $a(PQKBManifestationID)11440028 035 $a(PQKBTitleCode)TC0000830674 035 $a(PQKBWorkID)10800425 035 $a(PQKB)10068129 035 $a(DE-He213)978-1-4614-5257-7 035 $a(MiAaPQ)EBC1030491 035 $a(Au-PeEL)EBL1030491 035 $a(CaPaEBR)ebr10970485 035 $a(PPN)168302519 035 $a(MiAaPQ)EBC30782880 035 $a(Au-PeEL)EBL30782880 035 $a(EXLCZ)992670000000315881 100 $a20130107d2013 u| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aReal and Convex Analysis /$fby Erhan Ç?nlar, Robert J Vanderbei 205 $a1st ed. 2013. 210 1$aNew York, NY :$cSpringer US :$cImprint: Springer,$d2013. 215 $a1 online resource (163 p.) 225 1 $aUndergraduate Texts in Mathematics,$x2197-5604 300 $aDescription based upon print version of record. 311 08$a9781489998590 311 08$a1489998594 311 08$a9781461452560 311 08$a1461452562 320 $aIncludes bibliographical references and index. 327 $aSets and Functions -- Metric Spaces -- Functions on Metric Spaces -- Differential and Integral Equations -- Convexity.-Convex Optimization -- Measure and Integration -- Bibiography.-Index.-. 330 $aThis book offers a first course in analysis for scientists and engineers. It can be used at the advanced undergraduate level or as part of the curriculum in a graduate program.    The book  is  built around metric spaces. In the first three chapters, the authors lay the foundational material and cover the all-important ?four-C?s?: convergence, completeness, compactness, and continuity. In subsequent chapters, the basic tools of analysis are used to give brief introductions to differential and integral equations, convex analysis, and measure theory.    The treatment is modern and aesthetically pleasing. The book contains  detailed illustrations, examples and exercises. It lays the groundwork for the needs of classical fields as well as the important new fields of optimization and probability theory. 410 0$aUndergraduate Texts in Mathematics,$x2197-5604 606 $aMathematical analysis 606 $aEngineering mathematics 606 $aEngineering$xData processing 606 $aOperations research 606 $aManagement science 606 $aMathematical optimization 606 $aAnalysis 606 $aMathematical and Computational Engineering Applications 606 $aOperations Research, Management Science 606 $aOptimization 615 0$aMathematical analysis. 615 0$aEngineering mathematics. 615 0$aEngineering$xData processing. 615 0$aOperations research. 615 0$aManagement science. 615 0$aMathematical optimization. 615 14$aAnalysis. 615 24$aMathematical and Computational Engineering Applications. 615 24$aOperations Research, Management Science. 615 24$aOptimization. 676 $a515.8 700 $aC??nlar$b E$g(Erhan),$f1941-$025609 702 $aVanderbei$b Robert J. 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910438144803321 996 $aReal and Convex Analysis$94523002 997 $aUNINA