Zum Hauptinhalt springen Zur Suche springen Zur Hauptnavigation springen
Beschreibung
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.
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.
Details
Erscheinungsjahr: 2023
Fachbereich: Allgemeines
Genre: Importe, Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
ISBN-13: 9789811278914
ISBN-10: 9811278911
Sprache: Englisch
Einband: Gebunden
Autor: Subiman Kundu, Manisha Aggarwal
Hersteller: World Scientific
Verantwortliche Person für die EU: Libri GmbH, Europaallee 1, D-36244 Bad Hersfeld, gpsr@libri.de
Maße: 235 x 157 x 19 mm
Von/Mit: Manisha Aggarwal Subiman Kundu
Erscheinungsdatum: 16.10.2023
Gewicht: 0,546 kg
Artikel-ID: 127166831

Ähnliche Produkte

Taschenbuch