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Metric 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 differentia...
| Clasificación: | Libro Electrónico |
|---|---|
| Autores principales: | , |
| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
London :
Springer London : Imprint: Springer,
2006.
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| Edición: | 1st ed. 2006. |
| Temas: | |
| Acceso en línea: | Texto Completo |
MARC
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| 024 | 7 | |a 10.1007/1-84628-244-6 |2 doi | |
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| 100 | 1 | |a Shirali, Satish. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Metric Spaces |h [electronic resource] / |c by Satish Shirali, Harkrishan Lal Vasudeva. |
| 250 | |a 1st ed. 2006. | ||
| 264 | 1 | |a London : |b Springer London : |b Imprint: Springer, |c 2006. | |
| 300 | |a VIII, 222 p. 21 illus. |b online resource. | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file |b PDF |2 rda | ||
| 505 | 0 | |a Preliminaries -- Basic Concepts -- Topology of a Metric Space -- Continuity -- Connected Spaces -- Compact Spaces -- Product Spaces. | |
| 520 | |a 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. | ||
| 650 | 0 | |a Topology. | |
| 650 | 0 | |a Functional analysis. | |
| 650 | 0 | |a Mathematical physics. | |
| 650 | 0 | |a Engineering. | |
| 650 | 1 | 4 | |a Topology. |
| 650 | 2 | 4 | |a Functional Analysis. |
| 650 | 2 | 4 | |a Mathematical Methods in Physics. |
| 650 | 2 | 4 | |a Technology and Engineering. |
| 700 | 1 | |a Vasudeva, Harkrishan Lal. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 710 | 2 | |a SpringerLink (Online service) | |
| 773 | 0 | |t Springer Nature eBook | |
| 776 | 0 | 8 | |i Printed edition: |z 9781848008274 |
| 776 | 0 | 8 | |i Printed edition: |z 9781852339227 |
| 776 | 0 | 8 | |i Printed edition: |z 9781447174257 |
| 856 | 4 | 0 | |u https://doi.uam.elogim.com/10.1007/1-84628-244-6 |z Texto Completo |
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| 950 | |a Mathematics and Statistics (SpringerNature-11649) | ||
| 950 | |a Mathematics and Statistics (R0) (SpringerNature-43713) | ||