[DOWNLOAD] "Metric Spaces" by Satish Shirali & Harkrishan Lal Vasudeva # eBook PDF Kindle ePub Free

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eBook details

• Title: Metric Spaces
• Author : Satish Shirali & Harkrishan Lal Vasudeva
• Release Date : January 27, 2005
• Genre: Mathematics,Books,Science & Nature,Professional & Technical,Engineering,Physics,
• Pages : * pages
• Size : 7195 KB

Description

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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