Elementary Topology - (Dover Books on Mathematics) 2nd Edition by Michael C Gemignani (Paperback)
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<p/><br></br><p><b> About the Book </b></p></br></br>Superb introduction to metric spaces, topologies, convergence, compactness, connectedness, homotopy theory, other essentials. Numerous exercises, plus section on paracompactness and complete regularity. References. Includes 107 illustrations.<br><p/><br></br><p><b> Book Synopsis </b></p></br></br><p>Topology is one of the most rapidly expanding areas of mathematical thought: while its roots are in geometry and analysis, topology now serves as a powerful tool in almost every sphere of mathematical study. This book is intended as a first text in topology, accessible to readers with at least three semesters of a calculus and analytic geometry sequence.<br>In addition to superb coverage of the fundamentals of metric spaces, topologies, convergence, compactness, connectedness, homotopy theory, and other essentials, <i>Elementary Topology</i> gives added perspective as the author demonstrates how abstract topological notions developed from classical mathematics. For this second edition, numerous exercises have been added as well as a section dealing with paracompactness and complete regularity. The Appendix on infinite products has been extended to include the general Tychonoff theorem; a proof of the Tychonoff theorem which does not depend on the theory of convergence has also been added in Chapter 7.</p>
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