Sudhir Kumar Pundir PhD is currently Associate Professor and Head, Department of Mathematics, SD (PG) College, Muzaffarnagar (UP). Formerly, he was Head, Department of Mathematics, Government (PG) College, Rishikesh (UK). Dr Pundir has been a recipient of JRF and SRF of CSIR, New Delhi, during his research work. He has been teaching UG and PG classes for well over two decades. He also organized and attended a number of national and international conferences. Six students have been awarded PhD degree under his supervision. He has to his credit more than 100 books for undergraduate, postgraduate and engineering students which are widely used by the students of various universities.
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This is an introductory text aimed at graduate and postgraduate students of mathematics. This book deals with the fundamental concepts of metric spaces with connectedness, compactness, continuity and homeomor phism. Some advanced topics covered in this book include Cantor's theorem of real numbers, functions from R2 to R, uniform and pointwise convergence in metric spaces, etc. Majority of questions and theorems in this book have been designed to access the readers understanding of the subject. The readers friendly systematic approach and presentation give the readers an idea about the model questions and help them to focused. Those preparing for competitive examinations like NET, GATE etc will also find this book useful. Besides, a lot of objective questions are given at the end of each chapte
