Metric Spaces

Name: Metric Spaces
Brand: Springer, Berlin
SKU: 9781852339227
Price: 67.78 EUR
Availability: InStock

Autor: Satish Shirali, Harkrishan L. Vasudeva

Jazyk:

Väzba: Brožovaná

Vydavateľ: Springer, Berlin

Dostupnosť: Skladom u dodávateľa

Odosielame za 10-18 dní

67.78 €

This volume provides a complete introduction to metric space theory for undergraduates. It covers th...

Informácie o knihe

Autor

Satish Shirali, Harkrishan L. Vasudeva

Jazyk

Angličtina

Väzba

Kniha - Brožovaná

Vydalo

2005

Stránok

222

EAN

9781852339227

ISBN

1852339225

Enbook ID

02106978

Vydavateľ

Springer, Berlin

Hmotnosť

386

Rozmery

178 x 254 x 12

Kompletný popis

This volume provides a complete introduction to metric space theory for undergraduates. It covers the topology of metric spaces, continuity, connectedness, compactness and product spaces, and includes results such as the Tietze-Urysohn extension theorem, Picard's theorem on ordinary differential equations, and the set of discontinuities of the pointwise limit of a sequence of continuous functions. Key features include:§a full chapter on product metric spaces, including a proof of Tychonoff s Theorem §§a wealth of examples and counter-examples from real analysis, sequence spaces and spaces of continuous functions §§numerous exercises with solutions to most of them to test understanding. §§The only prerequisite is a familiarity with the basics of real analysis: the authors take care to ensure that no prior knowledge of measure theory, Banach spaces or Hilbert spaces is assumed. The material is developed at a leisurely pace and applications of the theory are discussed throughout.

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