LEADER 02996nam 22006735 450 001 9910299761403321 005 20251113201309.0 010 $a3-319-12481-1 024 7 $a10.1007/978-3-319-12481-0 035 $a(CKB)3710000000416774 035 $a(SSID)ssj0001501551 035 $a(PQKBManifestationID)11830238 035 $a(PQKBTitleCode)TC0001501551 035 $a(PQKBWorkID)11447068 035 $a(PQKB)11678484 035 $a(DE-He213)978-3-319-12481-0 035 $a(MiAaPQ)EBC6311885 035 $a(MiAaPQ)EBC5586693 035 $a(Au-PeEL)EBL5586693 035 $a(OCoLC)908763895 035 $a(PPN)18602522X 035 $a(EXLCZ)993710000000416774 100 $a20150504d2015 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt 182 $cc 183 $acr 200 13$aAn Introduction to Modern Analysis /$fby Vicente Montesinos, Peter Zizler, Václav Zizler 205 $a1st ed. 2015. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2015. 215 $a1 online resource (XXXI, 863 p. 339 illus., 5 illus. in color.) 300 $aBibliographic Level Mode of Issuance: Monograph 311 08$a3-319-12480-3 327 $aReal Numbers: The Basics -- Sequences and Series -- Measure -- Functions -- Function Convergence -- Metric Spaces -- Integration -- Convex Functions -- Fourier Series -- Basics on Descriptive Statistics -- Excursion to Functional Analysis -- Appendices. . 330 $aExamining the basic principles in real analysis and their applications, this text provides a self-contained resource for graduate and advanced undergraduate courses. It contains independent chapters aimed at various fields of application, enhanced by highly advanced graphics and results explained and supplemented with practical and theoretical exercises. The presentation of the book is meant to provide natural connections to classical fields of applications such as Fourier analysis or statistics. However, the book also covers modern areas of research, including new and seminal results in the area of functional analysis. 606 $aFunctional analysis 606 $aNumerical analysis 606 $aMathematics 606 $aFunctional Analysis 606 $aNumerical Analysis 606 $aMathematics 615 0$aFunctional analysis. 615 0$aNumerical analysis. 615 0$aMathematics. 615 14$aFunctional Analysis. 615 24$aNumerical Analysis. 615 24$aMathematics. 676 $a515.7 700 $aMontesinos$b Vicente$4aut$4http://id.loc.gov/vocabulary/relators/aut$0550711 702 $aZizler$b Peter$4aut$4http://id.loc.gov/vocabulary/relators/aut 702 $aZizler$b Václav$4aut$4http://id.loc.gov/vocabulary/relators/aut 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910299761403321 996 $aAn Introduction to Modern Analysis$92508610 997 $aUNINA