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Metric Spaces by Satish Shirali

Metric Spaces

by Satish Shirali
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Book cover type: Paperback
  • ISBN13: 9781852339227
  • Binding: Paperback
  • Subject: N/A
  • Publisher: Springer
  • Publisher Imprint: Springer
  • Publication Date:
  • Pages: 222
  • Original Price: EUR 54.99
  • Language: English
  • Edition: 2006
  • Item Weight: 417 grams
  • BISAC Subject(s): Mathematical Analysis, Physics / Mathematical & Computational, and Engineering (General)

From the Back Cover

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, making this book ideal as a classroom text for third- and fourth-year undergraduates or as a self-study resource for graduate students and researchers.

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