Gopal, Dhananjay,
An introduction to metric spaces / Dhananjay Gopal, Aniruddha Deshmukh, Abhay S. Ranadive, Shubham Yadav. - First edition. - 1 online resource : illustrations (black and white)
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
9781000087994 1000087999 9781003045878 1003045871
10.1201/9781003045878 doi
Metric spaces.
Metric spaces--Study and teaching.
MATHEMATICS / Topology
MATHEMATICS / Functional Analysis
MATHEMATICS / Geometry / General
QA611.28 / .G65 2021
514.325
An introduction to metric spaces / Dhananjay Gopal, Aniruddha Deshmukh, Abhay S. Ranadive, Shubham Yadav. - First edition. - 1 online resource : illustrations (black and white)
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
9781000087994 1000087999 9781003045878 1003045871
10.1201/9781003045878 doi
Metric spaces.
Metric spaces--Study and teaching.
MATHEMATICS / Topology
MATHEMATICS / Functional Analysis
MATHEMATICS / Geometry / General
QA611.28 / .G65 2021
514.325