Download E-books Metric Spaces (Cambridge Tracts in Mathematics) PDF

By E. T. Copson

Metric area topology, because the generalization to summary areas of the speculation of units of issues on a line or in a aircraft, unifies many branches of classical research and is important advent to sensible research. Professor Copson's booklet, that's in keeping with lectures given to third-year undergraduates on the collage of St Andrews, presents a extra leisurely therapy of metric areas than is located in books on sensible research, that are often written at graduate pupil point. His presentation is aimed toward the functions of the speculation to classical algebra and research; particularly, the bankruptcy on contraction mappings exhibits the way it offers evidence of the various lifestyles theorems in classical research.

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