| 书目名称 | Continuity Theory | | 编辑 | Louis Nel | | 视频video | | | 概述 | 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 th | | 图书封面 |  | | 描述 | 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.. | | 出版日期 | Textbook 2016 | | 关键词 | Continuous Mappings; Metric Spaces; Functional Analysis; Continuity Spaces; Convergence Axioms | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-319-31159-3 | | isbn_softcover | 978-3-319-80978-6 | | isbn_ebook | 978-3-319-31159-3 | | copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |
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发表于 2025-3-21 16:43:27
