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Topology of Metric Spaces

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Topology of Metric Spaces

4.85 22,947 ratings · 4,728 reviews
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Overview: TOPOLOGY OF METRIC SPACES gives a very streamlined development of a course in metric space topology emphasizing only the most useful concepts, concrete spaces and geometric ideas to encourage geometric thinking, to treat this as a preparatory ground for a general topology course, to use this course as a surrogate for real analysis and to help the students gain some perspective of modern analysis.In this second revised and enlarged edition, based on the extensive feedback sent by the readers, some material has been removed, some new material included and nearly all problems are given comments, hints and solutions. Table Of Contents: Preface / Basic Notions / Convergence / Continuity / Compactness / Connectedness / Complete Metric Spaces / Answers, Hints and Solutions / Bibliography / Index. Audience Undergraduate Students Special Features: ?All concepts introduced using the primitive concepts of open balls or open sets?Geometric motivations of concepts, definitions and results?Real life motivations and analogies?Lots of concrete and geometric examples and pictures?Numerous exercises in meaningful contexts, with copious hints to most of them?Typical applications of major results?Attention to the difficulties faced by beginners?Most of the proofs start with the strategy of the proof so as to enable good students ?to work on their own?Prepares the ground for higher aspects of topology and analysis

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Book details & editions

ISBN
25670604
Publication date
January 1, 2005
Language
Eng
Pages
N/A pages
Reading Options
PDF · EPUB · Mobi
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S. Kumaresan
About the Author
S. Kumaresan
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S. Kumaresan is the author of several novels. Originally from the East Coast, they now live in the Midwest with family. In addition to writing, S. Kumaresan enjoys gardening, cooking, and reading way past bedtime. Their work often explores the complexities of everyday life and human relationships.

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A profoundly satisfying read. I adored how the story unfolded. It kept me captivated without sacrificing elegance. A true literary gem.
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Masterpiece from start to finish. The author orchestrated a breathtaking finale. Truly a work of art. A true literary gem.
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Kenneth Gonzalez September 30, 2024
I was completely blown away. The prose is exquisite. It’s accessible yet undeniably sophisticated. Worth every moment spent reading.
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Masterpiece from start to finish. The author orchestrated a breathtaking finale. Truly a work of art. An absolute must-read for connoisseurs of the genre.
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I was completely blown away. I became deeply invested in the protagonist's journey. A masterclass in storytelling. A true literary gem.
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I thoroughly enjoyed the elegance of it. The protagonist was compelling, though some subplots felt slightly overshadowed. A wonderful companion for a quiet weekend.
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Masterpiece from start to finish. The author orchestrated a breathtaking finale. Truly a work of art. Worth every moment spent reading.
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