AN INTRODUCTION TO METRIC SPACE & FUNCTIONAL ANALYSIS by Dr. Biswanath Garai
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AN INTRODUCTION TO METRIC SPACE & FUNCTIONAL ANALYSIS
Dr. Biswanath Garai
First Published: 2020
Reprint: 1
ISBN: 978-81-942688-4-0
Pages: 336
CONTENTS
- Metric Spaces and its examples
- Open and Closed Sets
- Complete Metric Spaces
- Continuity and Uniform Continuity
- Compact Metric Spaces
- Connected Metric Spaces
- Separable Metric Spaces
- Banach Spaces
- Hilbert Spaces
ABOUT THE BOOK: The book titled “An Introduction to Metric Space & Functional Analysis” has been written in a very lucid language to serve the purpose of the beginners of undergraduate and post-graduate students of mathematics of all Indian Universities according to CBCS syllabus. The main purpose of publishing this book is to present the subject matter in such a way that a student can understand and learn metric space as well as functional analysis through self-study. A large number of problems with hints have been incorporated in the Exercises and in the Miscellaneous chapter. Also solved question papers of different universities will help the students to face different examinations.
ABOUT THE AUTHOR: Dr. Biswanath Garai is an Associate Professor, HOD of Mathematics and Vice-Principal of Netaji Mahavidyalaya, Arambagh, Hooghly. He has been awarded Ph.D. in 2005 from the University of Burdwan. Dr. Garai teaches Real Analysis, Metric Space, Topology at UG and PG levels. He has teaching experience of about 19 years and published more than fifteen research papers in national and international journals.
