Koha online

Your cart is empty.
Normal view MARC view ISBD view

Metric Spaces [electronic resource] /by Satish Shirali, Harkrishan L. Vasudeva.

by Shirali, Satish [author.]; Vasudeva, Harkrishan L [author.]; SpringerLink (Online service).
Material type: materialTypeLabelBookPublisher: London : Springer London, 2006.Description: VIII, 222p. 21 illus. online resource.ISBN: 9781846282447.Subject(s): Mathematics | Functional analysis | Mathematical physics | Engineering | Mathematics | Functional Analysis | Mathematical Methods in Physics | Engineering, generalDDC classification: 515.7 Online resources: Click here to access online
Contents:
Preliminaries -- Basic Concepts -- Topology of a Metric Space -- Continuity -- Connected Spaces -- Compact Spaces -- Product Spaces.
In: Springer eBooksSummary: 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.
Tags from this library: No tags from this library for this title. Add tag(s)
Log in to add tags.
    average rating: 0.0 (0 votes)
Item type Current location Call number Status Date due Barcode
MAIN LIBRARY
QA319-329.9 (Browse shelf) Available

Preliminaries -- Basic Concepts -- Topology of a Metric Space -- Continuity -- Connected Spaces -- Compact Spaces -- Product Spaces.

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.

There are no comments for this item.

Log in to your account to post a comment.
@ Jomo Kenyatta University Of Agriculture and Technology Library

Powered by Koha