Nu se pretează? Nu contează! La noi puteți returna bunurile în 30 de zile
Cu un voucher cadou nu veți da greș. În schimbul voucherului, destinatarul își poate alege orice din oferta noastră.
30 de zile pentru retur bunuri
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.