Topology: 1978 Lecture Notes (Lecture Notes Series Book 6)

This book is about the branch of mathematics called topology.
But its larger purpose is to illustrate how mathematics works:
The interplay between intuition on the one hand and a pure
mathematical formulation on the other. Thus, we develop the
axioms for a topological space, formulate definitions within
the context of those axioms and actually prove theorems from
the axioms. But underlying all this is our intuition about
topology. It is this intuition that guides and gives "meaning" to
the definitions we make and to the theorems we prove. No prior
knowledge of mathematics is assumed. In fact, these were
originally the notes for a course for freshman non-scientists.
This book, including over 100 figures and problem sets with
solutions, should be of interest to those who would like to
understand what mathematics is all about, as well as those
who would like to learn about the this important branch of
mathematics.