Metric Spaces: A Companion to Analysis
English | 2022 | ISBN: 3030949451 | 258 Pages | PDF | 3 MB
The book covers the main topics of metric space theory that the student of analysis is likely to need. Starting with an overview defining the principal examples of metric spaces in analysis (chapter 1), it turns to the basic theory (chapter 2) covering open and closed sets, convergence, completeness and continuity (including a treatment of continuous linear mappings). There is also a brief dive into general topology, showing how metric spaces fit into a wider theory. The following chapter is devoted to proving the completeness of the classical spaces. The text then embarks on a study of spaces with important special properties. Compact spaces, separable spaces, complete spaces and connected spaces each have a chapter devoted to them. A particular feature of the book is the occasional excursion into analysis. Examples include the Mazur-Ulam theorem, Picard's theorem on existence of solutions to ordinary differential equations, and space filling curves.

free Metric Spaces A Companion to Analysis, Downloads Metric Spaces A Companion to Analysis, RapidShare Metric Spaces A Companion to Analysis, Megaupload Metric Spaces A Companion to Analysis, Mediafire Metric Spaces A Companion to Analysis, DepositFiles Metric Spaces A Companion to Analysis, HotFile Metric Spaces A Companion to Analysis, Uploading Metric Spaces A Companion to Analysis, Easy-Share Metric Spaces A Companion to Analysis, FileFactory Metric Spaces A Companion to Analysis, Vip-File Metric Spaces A Companion to Analysis, Shared Metric Spaces A Companion to Analysis,  Please feel free to post your Metric Spaces A Companion to Analysis Download, Movie, Game, Software, Mp3, video, subtitle, sample, torrent, NFO, Crack, uploaded, putlocker, Rapidgator, mediafire, Netload, Zippyshare, Extabit, 4shared, Serial, keygen, Watch online, requirements or whatever-related comments here.