LEADER 02670oam 2200577Mn 450 001 9910787002303321 005 20230810000428.0 010 $a0-429-08245-2 010 $a1-138-44167-8 010 $a1-4987-0638-X 035 $a(CKB)3710000000269988 035 $a(EBL)1719857 035 $a(SSID)ssj0001408891 035 $a(PQKBManifestationID)11776961 035 $a(PQKBTitleCode)TC0001408891 035 $a(PQKBWorkID)11353128 035 $a(PQKB)10123838 035 $a(MiAaPQ)EBC1719857 035 $a(OCoLC)1080585084 035 $a(OCoLC-P)1080585084 035 $a(FlBoTFG)9780429082450 035 $a(EXLCZ)993710000000269988 100 $a20190103d2017 uy 0 101 0 $aeng 135 $aur|n||||||||| 181 $ctxt 182 $cc 183 $acr 200 10$aCONVEX ANALYSIS 210 $a[Place of publication not identified]$cCRC Press$d2017 215 $a1 online resource (174 p.) 225 1 $aTextbooks in mathematics 300 $aDescription based upon print version of record. 311 $a1-322-63607-9 311 $a1-4987-0637-1 320 $aIncludes bibliographical references. 327 $aFront Cover; Dedication; Table of Contents; Preface; Biography of Steven G.Krantz; Chapter 0: Why Convexity?; Chapter 1: Basic Ideas; Chapter 2: Characterization of Convexity Using Functions; Chapter 3: Further Developments Using Functions; Chapter 4: Applications of the Idea of Convexity; Chapter 5: More Sophisticated Ideas; Chapter 6: The MiniMax Theorem; Chapter 7: Concluding Remarks; Appendix: Technical Tools; Table of Notation; Glossary; Bibliography 330 $aConvexity is an ancient idea going back to Archimedes. Used sporadically in the mathematical literature over the centuries, today it is a flourishing area of research and a mathematical subject in its own right. Convexity is used in optimization theory, functional analysis, complex analysis, and other parts of mathematics.Convex Analysis introduces analytic tools for studying convexity and provides analytical applications of the concept. The book includes a general background on classical geometric theory which allows readers to obtain a glimpse of how modern mathematics is developed and how g 410 0$aTextbooks in mathematics (Boca Raton, Fla.) 606 $aConvex functions 606 $aFunctional analysis 615 0$aConvex functions. 615 0$aFunctional analysis. 676 $a515/.882 700 $aKRANTZ$b STEVEN G$055961 801 0$bOCoLC-P 801 1$bOCoLC-P 906 $aBOOK 912 $a9910787002303321 996 $aCONVEX ANALYSIS$93780015 997 $aUNINA