Metric Spaces

The abstract concepts of metric spaces are often perceived as difficult. This book offers a unique approach to the subject which gives readers the advantage of a new perspective on ideas familiar from the analysis of a real line.

Offers a unique approach to the study of metric spaces based on giving readers a new perspective on ideas familiar from the analysis of a real line Suitable for self-study: each chapter features copious examples and numerous problems with solutions to some of these provided at the back of the book An excellent preparation for applications Request lecturer material: sn.pub/lecturer-material

Autorentext

Mícheál Ó Searcóid is author of another, higher-level, SUMS book, Elements of Abstract Analysis, 1-85233-424-X, published November 2001, sales (as of June 2005): 1051 (ROW: 634; US: 417).

Inhalt
Metrics.- Distance.- Boundary.- Open, Closed and Dense Subsets.- Balls.- Convergence.- Bounds.- Continuity.- Uniform Continuity.- Completeness.- Connectedness.- Compactness.- Equivalence.