Grab Instantly Topology Of Metric Spaces Created By S. Kumaresan Published As Interactive EBook

on Topology of Metric Spaces

bunch of papers should not be called "book", It's just a collection of some random lecture notes with not much of theory but lots of problems borrowed from other standard textbooks.
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
Grab Instantly Topology Of Metric Spaces Created By S. Kumaresan Published As Interactive EBook
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 setsGeometric motivations of concepts, definitions and resultsReal life motivations and analogiesLots of concrete and geometric examples and picturesNumerous exercises in meaningful contexts, with copious hints to most of themTypical applications of major resultsAttention to the difficulties faced by beginnersMost of the proofs start with the strategy of the proof so as to enable good students to work on their ownPrepares the ground for higher aspects of topology and analysis.