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Anotace knihy

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.

Parametry knihy

Zařazení knihy Knihy v angličtině Mathematics & science Mathematics Topology

• Plný název: Metric Spaces
• Autor: Satish Shirali, Harkrishan L. Vasudeva
• Jazyk: Angličtina
• Vazba: Brožovaná
• Počet stran: 222
• EAN: 9781852339227
• ISBN: 1852339225
• ID: 02106978
• Nakladatelství: Springer, Berlin
• Hmotnost: 386 g
• Rozměry: 254 × 178 × 12 mm
• Datum vydání: 07. October 2005

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