HISTORICAL BACKGROUND OF METRIC SPACES : #historical #backgrond #metric #spaces #convergence #continuous
HISTORICAL BACKGROUND OF METRIC SPACES: Classical analysis can be described as that part of mathematics which begins with calculus and, in essentially the same spirit, develops similar subject matter much further in many directions. It is a great nation in the world of mathematics, with many provinces, a few of which are ordinary and partial differential equations, infinite series, and analytic functions of a complex variable. Each of these has experienced enormous growth over a long history, and each is rich enough in content to merit a lifetime of study. In the course of its development, classical analysis became so complex and varied that even an expert could find his way around in it only with difficulty....