Metric Spaces and Related Analysis
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Book Overview This book offers the comprehensive study of one of the foundational topics in Mathematics, known as Metric Spaces. The book delivers the ...
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.
Book Details Format: Hardcover | Pages: 257 | Language: English | Publisher: WORLD SCIENTIFIC PUB CO INC | ISBN: 9811278911
FormatHardcover
Pages257
LanguageEnglish
ISBN9811278911
EAN9789811278914
PublisherWORLD SCIENTIFIC PUB CO INC
Publication Date1970-01-01
AccessoriesNo Accessory
ConditionNew
Product TypeHARD COVER BOOKS
Weight1.17 Pounds
Length9.0 Inches
Width6.0 Inches
Height0.63 Inches
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