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Published in:
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2016 | OriginalPaper | Chapter

1. Overview

Author : Louis Nel

Published in: Continuity Theory

Publisher: Springer International Publishing

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Abstract

Continuity theory serves as infrastructure for more specialized mathematical theories such as ordinary differential equations, partial differential equations, integral equations, operator theory, dynamical systems, and global analysis. The infrastructure includes creation of new spaces out of given ones, extension theorems, existence theorems, inversion theorems, approximation theorems, factorization theorems, adjunctions (e.g., exponential laws), and (local) representation theorems. So it embodies a great variety of possible topics. The present book, while deliberately not encyclopedic, does include a systematic study of linear continuity—enough to provide a foundation for functional analysis (the linear part of continuity theory).

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next chapter General Preparation
Footnotes
1
(giving a pane in the glass)
 
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Metadata
Title
Overview
Author
Louis Nel
Copyright Year
2016
Book
Continuity Theory

Print ISBN: 978-3-319-31158-6

Electronic ISBN: 978-3-319-31159-3

Copyright Year: 2016

DOI
https://doi.org/10.1007/978-3-319-31159-3_1

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