This book is aimed to serve as a textbook for an introductory course in metric spaces for undergraduate or graduate students. It has been our goal to present the basics of metric spaces in a natural and intuitive way and encourage the students to think geometrically while actively participating in the learning of this subject. In this book, we have illustrated the strategy of the proofs of various theorems that motivate the readers to complete it on their own. Bits of pertinent history are infused in the text, including brief biographies of some of the central players in the development of metric spaces. The textbook is decomposed in to seven chapters which contain the main materials on metric spaces; namely, introductory concepts, completeness, compactness, connectedness, continuous functions and metric fixed point theorems with applications. Some of the noteworthy features of this book are: * Diagrammatic illustrations that encourage the reader to think geometrically. * Focus on systematic strategy to generate ideas for the proofs of theorems. * A wealth of remarks, observations along with variety of exercises. * Historical notes and brief biographies appearing throughout the text.

Book Information
ISBN 9780367493486
Author Dhananjay Gopal
Format Hardback
Page Count 288
Imprint CRC Press
Publisher Taylor & Francis Ltd