Modern Analysis Topology of Metric Spaces

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