An Introduction to Metric Spaces,1st Edition

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1. ISBN-10

   0367493489
2. ISBN-13

   978-0367493486This educational resource serves as a textbook for a basic course in metric spaces for undergraduate or graduate students. The main aim is to present the essentials of metric spaces in a natural and intuitive manner and encourage learners to think visually while actively engaging in the study of this topic. In this publication, the authors demonstrated the approach of the proofs of various theorems that encourage readers to complete them independently. Bits of relevant history are infused in the text, including brief biographies of some of the central figures in the development of metric spaces. The textbook is segmented into seven chapters containing the primary materials on metric spaces, namely, introductory concepts, completeness, compactness, connectedness, continuous functions, and metric fixed point theorems with applications.

   Some of the notable attributes of this publication include
   – Visual illustrations that stimulate readers to think visually
   – Emphasis on systematic approach to generate ideas for the proofs of theorems
   – A wealth of remarks, observations, and a variety of exercises
   – Historical notes and brief biographies interspersed throughout the text