Metric spaces and related analysis:
"This book offers the comprehensive study of one of the foundational topics in Mathematics, known as Metric Spaces. The book delivers the concepts in an appropriate and concise manner, at the same time rich in illustrations and exercise problems. Special focus has been laid on important theorem...
Gespeichert in:
| Beteiligte Personen: | , |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | Englisch |
| Veröffentlicht: |
New Jersey ; London ; Singapore ; Beijing ; Shanghai ; Hong Kong ; Taipei ; Chennai ; Tokyo
World Scientific
2024
|
| Schlagwörter: | |
| Links: | https://www.worldscientific.com/worldscibooks/10.1142/13486#t=toc https://doi.org/10.1142/13486 |
| Zusammenfassung: | "This book offers the comprehensive study of one of the foundational topics in Mathematics, known as Metric Spaces. The book delivers the concepts in an appropriate and concise manner, at the same time rich in illustrations and exercise problems. Special focus has been laid on important theorems like Baire's Category theorem, Heine-Borel theorem, Ascoli-Arzela Theorem, etc, which play a crucial role in the study of metric spaces. The additional chapter on Cofinal completeness, UC spaces and finite chainability makes the text unique of its kind. This helps the students in: taking the secondary step towards analysis on metric spaces, realizing the connection between the two most important classes of functions, continuous functions and uniformly continuous functions, understanding the gap between compact metric spaces and complete metric spaces. Readers will also find brief discussions on various subtleties of continuity like subcontinuity, upper semi-continuity, lower semi-continuity, etc. The interested readers will be motivated to explore the special classes of functions between metric spaces to further extent. Consequently, the book becomes a complete package: it makes the foundational pillars strong and develops the interest of students to pursue research in metric spaces. The book is useful for third and fourth year undergraduate students and it is also helpful for graduate students and researchers"-- |
| Umfang: | 1 Online-Ressource Illustrationen |
| ISBN: | 9789811278921 9789811278938 |
| DOI: | 10.1142/13486 |
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Datensatz im Suchindex
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| id | DE-604.BV049954281 |
| illustrated | Illustrated |
| indexdate | 2025-01-28T19:18:40Z |
| institution | BVB |
| isbn | 9789811278921 9789811278938 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-035292254 |
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| owner | DE-91G DE-BY-TUM |
| owner_facet | DE-91G DE-BY-TUM |
| physical | 1 Online-Ressource Illustrationen |
| psigel | ZDB-124-WOP ZDB-124-WOP TUM_Einzelkauf_2024 |
| publishDate | 2024 |
| publishDateSearch | 2024 |
| publishDateSort | 2024 |
| publisher | World Scientific |
| record_format | marc |
| spellingShingle | Kundu, Subiman Aggarwal, Manisha Metric spaces and related analysis Metric spaces |
| title | Metric spaces and related analysis |
| title_auth | Metric spaces and related analysis |
| title_exact_search | Metric spaces and related analysis |
| title_full | Metric spaces and related analysis Subiman Kundu, ((retired) Indian Institute of Technology Delhi, India), Manisha Aggarwal (St. Stephen's College, University of Delhi, India) |
| title_fullStr | Metric spaces and related analysis Subiman Kundu, ((retired) Indian Institute of Technology Delhi, India), Manisha Aggarwal (St. Stephen's College, University of Delhi, India) |
| title_full_unstemmed | Metric spaces and related analysis Subiman Kundu, ((retired) Indian Institute of Technology Delhi, India), Manisha Aggarwal (St. Stephen's College, University of Delhi, India) |
| title_short | Metric spaces and related analysis |
| title_sort | metric spaces and related analysis |
| topic | Metric spaces |
| topic_facet | Metric spaces |
| url | https://doi.org/10.1142/13486 |
| work_keys_str_mv | AT kundusubiman metricspacesandrelatedanalysis AT aggarwalmanisha metricspacesandrelatedanalysis |