An introduction to metric spaces / Dhananjay Gopal, Aniruddha Deshmukh, Abhay S. Ranadive, Shubham Yadav.
By: Gopal, Dhananjay [author.]
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Contributor(s): Deshmukh, Aniruddha [author.] | Ranadive, Abhay S [author.] | Yadav, Shubham [author.].
Material type: 
BookPublisher: Boca Raton, FL : Chapman & Hall/CRC, 2021Copyright date: ©2020Edition: First edition.Description: 1 online resource : illustrations (black and white).Content type: text | still image Media type: computer Carrier type: online resourceISBN: 9781000087994; 1000087999; 9781003045878; 1003045871.Subject(s): Metric spaces | Metric spaces -- Study and teaching | MATHEMATICS / Topology | MATHEMATICS / Functional Analysis | MATHEMATICS / Geometry / GeneralDDC classification: 514.325 Online resources: Taylor & Francis | OCLC metadata license agreement Summary: This book serves as a textbook for an introductory course in metric spaces for undergraduate or graduate students. Thegoal 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 themon 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 thatcontain 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 include Diagrammatic illustrations that encourage readers to think geometrically Focus on systematic strategy to generate ideas for the proofs of theorems A wealth of remarks, observations along with a variety of exercises Historical notes and brief biographies appearing throughout the text
This book serves as a textbook for an introductory course in metric spaces for undergraduate or graduate students. Thegoal 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 themon 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 thatcontain 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 include Diagrammatic illustrations that encourage readers to think geometrically Focus on systematic strategy to generate ideas for the proofs of theorems A wealth of remarks, observations along with a variety of exercises Historical notes and brief biographies appearing throughout the text
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