Continuity Theory

This 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...

Πλήρης περιγραφή

Λεπτομέρειες βιβλιογραφικής εγγραφής
Κύριος συγγραφέας: Nel, Louis (Συγγραφέας)
Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
Γλώσσα:English
Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2016.
Θέματα:
Διαθέσιμο Online:Full Text via HEAL-Link
LEADER 02883nam a22004335i 4500
001 978-3-319-31159-3
003 DE-He213
005 20171214163843.0
007 cr nn 008mamaa
008 160603s2016 gw | s |||| 0|eng d
020 |a 9783319311593  |9 978-3-319-31159-3 
024 7 |a 10.1007/978-3-319-31159-3  |2 doi 
040 |d GrThAP 
050 4 |a QA319-329.9 
072 7 |a PBKF  |2 bicssc 
072 7 |a MAT037000  |2 bisacsh 
082 0 4 |a 515.7  |2 23 
100 1 |a Nel, Louis.  |e author. 
245 1 0 |a Continuity Theory  |h [electronic resource] /  |c by Louis Nel. 
264 1 |a Cham :  |b Springer International Publishing :  |b Imprint: Springer,  |c 2016. 
300 |a XIX, 460 p. 110 illus.  |b online resource. 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
347 |a text file  |b PDF  |2 rda 
505 0 |a Overview -- 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. . 
520 |a This 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. 
650 0 |a Mathematics. 
650 0 |a Functional analysis. 
650 0 |a Topology. 
650 1 4 |a Mathematics. 
650 2 4 |a Functional Analysis. 
650 2 4 |a Topology. 
710 2 |a SpringerLink (Online service) 
773 0 |t Springer eBooks 
776 0 8 |i Printed edition:  |z 9783319311586 
856 4 0 |u http://dx.doi.org/10.1007/978-3-319-31159-3  |z Full Text via HEAL-Link 
912 |a ZDB-2-SMA 
950 |a Mathematics and Statistics (Springer-11649)