LEADER 03157nam 22005295 450 001 9910254098103321 005 20200706205954.0 010 $a3-319-31159-X 024 7 $a10.1007/978-3-319-31159-3 035 $a(CKB)3710000000734704 035 $a(DE-He213)978-3-319-31159-3 035 $a(MiAaPQ)EBC6312357 035 $a(MiAaPQ)EBC5586926 035 $a(Au-PeEL)EBL5586926 035 $a(OCoLC)951743311 035 $a(PPN)194381005 035 $a(EXLCZ)993710000000734704 100 $a20160603d2016 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aContinuity Theory /$fby Louis Nel 205 $a1st ed. 2016. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2016. 215 $a1 online resource (XIX, 460 p. 110 illus.) 311 $a3-319-31158-1 327 $aOverview -- General Preparation -- Continuity Enabling Structures -- Construction of New Spaces -- Various Kinds of Spaces -- Fundamentals of Linear Continuity -- Basic Categorical Concepts -- The Category C -- Reflective Categories of C -- Enriched Dualities -- The Category CV.- Reflective Subcategories of CV -- Linear Continuous Representations -- Smooth Continuity -- Supplementary Reading. . 330 $aThis book presents a detailed, self-contained theory of continuous mappings. It is mainly addressed to students who have already studied these mappings in the setting of metric spaces, as well as multidimensional differential calculus. The needed background facts about sets, metric spaces and linear algebra are developed in detail, so as to provide a seamless transition between students' previous studies and new material.  In view of its many novel features, this book will be of interest also to mature readers who have studied continuous mappings from the subject's classical texts and wish to become acquainted with a new approach. The theory of continuous mappings serves as infrastructure for more specialized mathematical theories like differential equations, integral equations, operator theory, dynamical systems, global analysis, topological groups, topological rings and many more. In light of the centrality of the topic, a book of this kind fits a variety of applications, especially those that contribute to a better understanding of functional analysis, towards establishing an efficient setting for its pursuit. 606 $aFunctional analysis 606 $aTopology 606 $aFunctional Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M12066 606 $aTopology$3https://scigraph.springernature.com/ontologies/product-market-codes/M28000 615 0$aFunctional analysis. 615 0$aTopology. 615 14$aFunctional Analysis. 615 24$aTopology. 676 $a515.353 700 $aNel$b Louis$4aut$4http://id.loc.gov/vocabulary/relators/aut$0755871 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910254098103321 996 $aContinuity theory$91523244 997 $aUNINA