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Titlebook: A Comprehensive Textbook on Metric Spaces; Surinder Pal Singh Kainth Textbook 2023 The Editor(s) (if applicable) and The Author(s), under

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发表于 2025-3-21 16:38:03 | 显示全部楼层 |阅读模式
期刊全称A Comprehensive Textbook on Metric Spaces
影响因子2023Surinder Pal Singh Kainth
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发行地址Presents a comprehensive course on metric spaces containing chapters on homeomorphisms, cardinality and the Cantor set.Delves into axiomatic set theory and proofs through games.Contains 966 exercises,
图书封面Titlebook: A Comprehensive Textbook on Metric Spaces;  Surinder Pal Singh Kainth Textbook 2023 The Editor(s) (if applicable) and The Author(s), under
影响因子.This textbook provides a comprehensive course in metric spaces. Presenting a smooth takeoff from basic real analysis to metric spaces, every chapter of the book presents a single concept, which is further unfolded and elaborated through related sections and subsections.  Apart from a unique new presentation and being a comprehensive textbook on metric spaces, it contains some special concepts and new proofs of old results, which are not available in any other book on metric spaces. It has individual chapters on homeomorphisms and the Cantor set. This book is almost self-contained and has an abundance of examples, exercises, references and remarks about the history of basic notions and results. Every chapter of this book includes brief hints and solutions to selected exercises. It is targeted to serve as a textbook for advanced undergraduate and beginning graduate students of mathematics.   .
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发表于 2025-3-21 22:27:33 | 显示全部楼层
Metric Spaces, from other mathematical areas and, depending on the specific subject, to specialists in other domains of science, engineers and teachers of mathematics. These articles treat their material at a fairly general level and aim to give an idea of the kind of problems, techniques and concepts involved in
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Topology,aduates from other mathematical areas and, depending on the specific subject, to specialists in other domains of science, en­ gineers and teachers of mathematics. These articles treat their material at a fairly general level and aim to give an idea of the kind of problems, techniques and concepts involved in 978-90-481-8238-1978-94-015-1233-6
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Cardinality,tive notion of computable is correctly formalised as lambda definable, Turing computable or recursive (cf. also Church thesis). Although many programming languages are based on the computational model of Turing (imperative programming), presently the model of Church enjoys a lot of attention in the
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https://doi.org/10.1007/978-3-031-14436-3 . to more general spaces, such as the plane . or the three-dimensional space . or to . Sometimes the proofs depend only upon a few properties of the underlying space. The ones which depend only upon the distance function can be extended to metric spaces. A metric space is defined to be a nonempty s
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