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An Introduction to Metric Spaces

An Introduction to Metric Spaces

Paperback

General MathematicsGeometry

ISBN10: 0367493497
ISBN13: 9780367493493
Publisher: CRC Press
Published: Jul 15 2022
Pages: 302
Weight: 0.94
Height: 0.64 Width: 6.14 Depth: 9.21
Language: English

This book serves as a textbook for an introductory course in metric spaces for undergraduate or graduate students. The goal is to present the basics of metric spaces in a natural and intuitive way and encourage students to think geometrically while actively participating in the learning of this subject. In this book, the authors illustrated the strategy of the proofs of various theorems that motivate readers to complete them 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 divided into seven chapters that contain the main materials on metric spaces; namely, introductory concepts, completeness, compactness, connectedness, continuous functions and metric fixed point theorems with applications.

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General Mathematics