Louis Nel: Continuity Theory | Taschenbuch

Cover: 9783319809786 | Continuity Theory | Louis Nel | Taschenbuch | xix | Englisch | 2018

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Sprache: Englisch

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Beschreibung

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.

Über den Autor

Louis D. Nel is Professor Emeritus of Mathematics at Carleton University. His research interests include topology, category theory, and functional analysis.

Zusammenfassung

Approaches the topic of continuity theory with a self-contained approach accessible to students

Enriches the study of continuity theory by expanding its context beyond metric spaces and topological theory, into power spaces

Formalizes results which had previously appeared only in research-oriented publications

Includes a systematic study of linear continuity, providing a foundation for a deeper understanding of functional analysis

Includes supplementary material: [...]

Inhaltsverzeichnis

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.

Details

Erscheinungsjahr:	2018
Fachbereich:	Analysis
Genre:	Mathematik , Medizin , Naturwissenschaften , Technik
Rubrik:	Naturwissenschaften & Technik
Medium:	Taschenbuch
Inhalt:	xix 460 S. 110 s/w Illustr. 460 p. 110 illus.
ISBN-13:	9783319809786
ISBN-10:	3319809784
Sprache:	Englisch
Einband:	Kartoniert / Broschiert
Autor:	Nel, Louis
Auflage:	Softcover reprint of the original 1st edition 2016
Hersteller:	Springer Nature Switzerland Springer International Publishing
Verantwortliche Person für die EU:	Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße:	235 x 155 x 25 mm
Von/Mit:	Louis Nel
Erscheinungsdatum:	30.05.2018
Gewicht:	0,808 kg