LEADER 00751nam0-2200253 --450 001 9910479543503321 005 20210628101826.0 100 $a20210628d1917----kmuy0itay5050 ba 101 $aita 102 $aIT 105 $a 001yy 200 1 $a<>amore di Dante per Pietra$flettura di Piero Misciattelli nella Casa di Dante in Roma 210 $aFirenze$cSansoni$d[1917?] 215 $a53 p.$d25 cm. 225 1 $aLectura Dantis 610 0 $aALIGHIERI, DANTE$aOpere$aConcezione dell'amore 700 1$aMisciattelli,$bPiero$0393366 801 0$aIT$bUNINA$gREICAT$2UNIMARC 901 $aBK 912 $a9910479543503321 952 $a3/X F 13$b9494$fFLFBC 959 $aFLFBC 996 $aAmore di Dante per Pietra$9143961 997 $aUNINA LEADER 04116nam 22005655 450 001 9910255013403321 005 20200707031316.0 010 $a3-319-42755-5 024 7 $a10.1007/978-3-319-42755-3 035 $a(CKB)3710000000909100 035 $a(DE-He213)978-3-319-42755-3 035 $a(MiAaPQ)EBC6315366 035 $a(MiAaPQ)EBC5588973 035 $a(Au-PeEL)EBL5588973 035 $a(OCoLC)960811870 035 $a(PPN)196325811 035 $a(EXLCZ)993710000000909100 100 $a20161004d2016 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aMathematical Analysis and the Mathematics of Computation /$fby Werner Römisch, Thomas Zeugmann 205 $a1st ed. 2016. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2016. 215 $a1 online resource (XXIII, 703 p. 52 illus., 32 illus. in color.) 311 $a3-319-42753-9 327 $aSets, Structures, Numbers -- Metric Spaces -- Continuous Functions in Metric Spaces -- Linear Normed Spaces, Linear Operators -- The Differential Calculus -- Applications of the Differential Calculus -- The Integral Calculus -- Linear Integral Operators -- Inner Product Spaces -- Approximative Representation of Functions -- Ordinary Differential Equations -- Discretization of Operator Equations -- Numerical Solution of Ordinary Differential Equations. 330 $aThis book is a comprehensive, unifying introduction to the field of mathematical analysis and the mathematics of computing. It develops the relevant theory at a modern level and it directly relates modern mathematical ideas to their diverse applications. The authors develop the whole theory. Starting with a simple axiom system for the real numbers, they then lay the foundations, developing the theory, exemplifying where it's applicable, in turn motivating further development of the theory. They progress from sets, structures, and numbers to metric spaces, continuous functions in metric spaces, linear normed spaces and linear mappings; and then differential calculus and its applications, the integral calculus, the gamma function, and linear integral operators. They then present important aspects of approximation theory, including numerical integration. The remaining parts of the book are devoted to ordinary differential equations, the discretization of operator equations, and numerical solutions of ordinary differential equations. This textbook contains many exercises of varying degrees of difficulty, suitable for self-study, and at the end of each chapter the authors present more advanced problems that shed light on interesting features, suitable for classroom seminars or study groups. It will be valuable for undergraduate and graduate students in mathematics, computer science, and related fields such as engineering. This is a rich field that has experienced enormous development in recent decades, and the book will also act as a reference for graduate students and practitioners who require a deeper understanding of the methodologies, techniques, and foundations. 606 $aComputer science?Mathematics 606 $aMathematical analysis 606 $aAnalysis (Mathematics) 606 $aMathematics of Computing$3https://scigraph.springernature.com/ontologies/product-market-codes/I17001 606 $aAnalysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M12007 615 0$aComputer science?Mathematics. 615 0$aMathematical analysis. 615 0$aAnalysis (Mathematics). 615 14$aMathematics of Computing. 615 24$aAnalysis. 676 $a515 700 $aRömisch$b Werner$4aut$4http://id.loc.gov/vocabulary/relators/aut$0948711 702 $aZeugmann$b Thomas$4aut$4http://id.loc.gov/vocabulary/relators/aut 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910255013403321 996 $aMathematical Analysis and the Mathematics of Computation$92225280 997 $aUNINA