Metric Spaces

Name: Metric Spaces
Brand: Springer, Berlin
SKU: 9781852339227
Price: 1557 CZK
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Autor: Satish Shirali, Harkrishan L. Vasudeva

Jazyk:

Vazba: Brožovaná

Vydavatel: Springer, Berlin

Dostupnost: Skladem u dodavatele

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

Informace o knize

Autor

Satish Shirali, Harkrishan L. Vasudeva

Jazyk

Angličtina

Vazba

Kniha - Brožovaná

Vydáno

2005

Stránek

222

EAN

9781852339227

ISBN

1852339225

Enbook ID

02106978

Vydavatel

Springer, Berlin

Hmotnost

386

Rozměry

178 x 254 x 12

Kompletní 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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Metric Spaces

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