Description

Contents:

• Logical Warm-up
• Preliminaries
• Motivation for Topology
• Topological Spaces
• Basic Concepts
• Spaces with Special Properties
• Separation Axioms
• Products and Co-products
• Embedding and Metrisation
• Nets and Filters
• Compactness
• Complete Metric Spaces
• Category Theory
• Uniform Spaces
• Selected Topics
• Appendix

K D Joshi obtained his Ph.D. from Indiana University in USA in 1972. He taught mathematics at a few universities abroad and mostly at IIT Bombay from 1975 to 2013. After retirement he served as Emeritus Professor of Mathematics at College of Engineering, Pune. He has written several books on mathematics, including one on general topology, one on univariate calculus, two books on discrete mathematics, multivariate calculus through linear algebra and a book Educative JEE (Mathematics) which takes an educative look at problems of the level of the Joint Entrance Examination (JEE) with which he had been associated in various capacities.