An Introduction to Metric Spaces by Dhananjay Gopal, Aniruddha Deshmukh, Abhay S. Ranadive, Shubham Yadav instant download

An Introduction to Metric Spaces by Dhananjay Gopal, Aniruddha Deshmukh, Abhay S. Ranadive, Shubham Yadav instant download

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.