Open Daily: 10am - 10pm | Alley door pickup 10am - 7pm 3038 Hennepin Ave Minneapolis, MN
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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Metric Spaces and Related Analysis

Metric Spaces and Related Analysis

Kundu, Subiman
Aggarwal, Manisha

Hardcover

General MathematicsGeometry

ISBN10: 9811278911
ISBN13: 9789811278914
Publisher: World Scientific Publishing Company
Published: Nov 3 2023
Pages: 272
Weight: 1.17
Height: 0.63 Width: 6.00 Depth: 9.00
Language: English
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.

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