Can I read Metric Spaces on EtoBox?

Metric Spaces by Satish Shirali, Harkrishan L. Vasudeva (auth.) is a nonfiction available to read on EtoBox.

What is Metric Spaces about?

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.

Who reads Metric Spaces?

Author

Satish Shirali, Harkrishan L. Vasudeva (auth.)

Publisher

Springer-Verlag London Limited

Published

2006

Language

EN

ISBN

9781852339227

Category

nonfiction

Subjects

Mathematics, Engineering, Science