METRIC SPACES By Manabendra Nath Mukherjee

Elements of METRIC SPACES

Manabendra Nath Mukherjee

ACADEMIC PUBLISHERS

NEW CBCS Syllabus

In accordance with the uniform pattern of all India curricula on mathematics, proposed by the UGC, CHES, course on metric spaces has been adopted by different Indian Universities in their U, G. (Hons) or mathematies. The boik is carefully designed that it will cater to the need for the students studying such a course or even a truncated one like that adipted by University of Calcuttal, where in the latter eventuality, the students have to concentrate on only the relevant chapters which are self-contained.

The passage from real line to metric space and vice-versa are explained for every individual topic, facilitating a student to perceive as to how a k concept of real line is generalized to the corresponding one of a metric space ur can even be extended to a more abstract setting of a topological space. Numerous examples are provided to vlucidate the different concepts of metric spaces. The motivations for different ideas and results of metric spaces are incorporated. The development in the book is made in the way so as to instil into the students a sense of confidence so that they can enjoy reading the book independently of their own to that end, geometric ideas are constantly inculcated upon and certain portions are detailed thoroughly