Can anybody suggest me a good book on Metric Spaces. Although I am not new to this subject, but want to polish my knowledge. I want a book which can clearly clear my basics. I want to start from the basics. Kindly suggest me. Thanks a lot.
2026-04-07 15:38:52.1775576332
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book for metric spaces
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- Copson E.T. Metric spaces. Cambridge University Press, London, 1968. v+143 pp.
- Kaplansky I. Set theory and metric spaces. Chelsea Publishing Co., New York, 1977. xii+140 pp.
- Searcóid M.Ó. Metric spaces. Springer-Verlag, London, 2007. xx+304 pp.
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I suggest Topology of Metric Spaces by s. Kumaresan.
In the preface:
The aim is to give a very streamlined development of a course in metric space topology emphasizing only the most useful concepts, concrete spaces and geometric ideas. To encourage the geometric thinking, I have chosen large number of examples which allow us to draw pictures and develop our intuition and draw conclusions, generate ideas for proofs. To this end, the book boasts of a lot of pictures. A secondary aim is to treat this as a preparatory ground for a general topology course and arm the reader with a repertory of examples.