Continuity Theory (PDF)
(Sprache: Englisch)
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...
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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.
Autoren-Porträt von Louis Nel
Louis D. Nel is Professor Emeritus of Mathematics at Carleton University. His research interests include topology, category theory, and functional analysis.
Bibliographische Angaben
- Autor: Louis Nel
- 2016, 1st ed. 2016, 460 Seiten, Englisch
- Verlag: Springer-Verlag GmbH
- ISBN-10: 331931159X
- ISBN-13: 9783319311593
- Erscheinungsdatum: 03.06.2016
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- Dateiformat: PDF
- Grösse: 7.08 MB
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Englisch
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Pressezitat
“This book is devoted to the so-called continuity theory, which includes continuous mappings between topological, metric and convergence spaces. Primarily, the book is designed for students, but it also contains some information which could be interesting for advanced readers. … In conclusion, the book contains very interesting and somewhat unusual treatments of continuity.” (Vesko Valov, Mathematical Reviews, August, 2017)“The author presents the theory of continuous mappings, mainly in the realm of convergence spaces … . contains many exercises and a section on supplementary reading. The work is addressed to readers who have studied continuous mappings in the metric setting, as well as multidimensional differential calculus. … book will mainly be studied and used by mature readers and lecturers, who will appreciate the wealth of information that it provides, much of which is not available in book form elsewhere.” (Hans Peter Künzi, zbMATH 1350.54001, 2017)
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