This is an introduction to the analysis of metric and normed linear spaces for undergraduate students in mathematics. Assuming a basic knowledge of real analysis and linear algebra, the student is exposed to the axiomatic method in analysis and is shown its power in exploiting the structure of fundamental analysis, which underlies a variety of applications. An example is the link between normed linear spaces and linear algebra; finite dimensional spaces are discussed early. The treatment progresses from the concrete to the abstract: thus metric spaces are studied in some detail before general topology is begun, though topological properties of metric spaces are explored in the book. Graded exercises are provided at the end of each section; in each set the earlier exercises are designed to assist in the detection of the structural properties in concrete examples while the later ones are more conceptually sophisticated.
Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.
This is an introduction to the analysis of metric and normed linear spaces for undergraduate students in mathematics. Assuming a basic knowledge of real analysis and linear algebra, the student is exposed to the axiomatic method in analysis and is shown its power in exploiting the structure of fundamental analysis, which underlies a variety of applications. An example is the link between normed linear spaces and linear algebra; finite dimensional spaces are discussed early. The treatment progresses from the concrete to the abstract: thus metric spaces are studied in some detail before general topology is begun, though topological properties of metric spaces are explored in the book. Graded exercises are provided at the end of each section; in each set the earlier exercises are designed to assist in the detection of the structural properties in concrete examples while the later ones are more conceptually sophisticated.
Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.
Vendeur : Better World Books Ltd, Dunfermline, Royaume-Uni
Etat : Very Good. Pages intact with possible writing/highlighting. Binding strong with minor wear. Dust jackets/supplements may not be included. Stock photo provided. Product includes identifying sticker. Better World Books: Buy Books. Do Good. N° de réf. du vendeur 39274348-6
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Vendeur : Marbus Farm Books, Winchester, VA, Etats-Unis
Paperback. Etat : Very Good. Softcover, light shelfwear to covers. Contents clean and tight. 257 pages, index. N° de réf. du vendeur 23741
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Vendeur : Gwyn Tudur Davies, Aberystwyth, Royaume-Uni
Soft cover. Etat : Very Good. No Jacket. Pbk, xiv, 257 p. ; cm. Some minor foxing to edges o/w a clean unmarked copy in very good condition. Contents : Part I. Metric Spaces and Normed Linear Spaces: -- 1. Definitions and examples -- 2. Balls and boundedness -- Part II. Limit Processes: -- 3. Convergence and completeness -- 4. Cluster points and closure -- 5. Application: Banach's fixed point theorem -- Part III. Continuity: -- 6. Continuity in metric spaces -- 7. Continuous linear mappings -- Part IV. Compactness: -- 8. Sequential compactness in metric spaces -- 9. Continuous functions on compact metric spaces -- Part V. The Metric Topology: -- 10. The topological analysis of metric spaces. [Metric spaces - Normed linear spaces - Functional analysis] w108 / m16616. N° de réf. du vendeur 016616
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Vendeur : Anybook.com, Lincoln, Royaume-Uni
Etat : Good. This is an ex-library book and may have the usual library/used-book markings inside.This book has soft covers. In good all round condition. Please note the Image in this listing is a stock photo and may not match the covers of the actual item,450grams, ISBN:9780521359283. N° de réf. du vendeur 9182676
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Vendeur : Better World Books, Mishawaka, IN, Etats-Unis
Etat : Good. Pages intact with minimal writing/highlighting. The binding may be loose and creased. Dust jackets/supplements are not included. Stock photo provided. Product includes identifying sticker. Better World Books: Buy Books. Do Good. N° de réf. du vendeur 4373932-6
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Vendeur : Anybook.com, Lincoln, Royaume-Uni
Etat : Poor. This is an ex-library book and may have the usual library/used-book markings inside.This book has soft covers. In poor condition, suitable as a reading copy. Please note the Image in this listing is a stock photo and may not match the covers of the actual item,450grams, ISBN:9780521359283. N° de réf. du vendeur 3943496
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Vendeur : Antiquariat Renner OHG, Albstadt, Allemagne
Softcover. Etat : Sehr gut. Cambridge UP (1987). Some figs. XIV, 257 p. Pbck. Australian Mathematical Society Lecture Series, 3.- With exercises.- Slightly browned, otherwise in very good condition. N° de réf. du vendeur 97244
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Vendeur : Revaluation Books, Exeter, Royaume-Uni
Paperback. Etat : Brand New. 272 pages. 9.08x6.04x0.68 inches. In Stock. This item is printed on demand. N° de réf. du vendeur __0521359287
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Vendeur : Ria Christie Collections, Uxbridge, Royaume-Uni
Etat : New. In. N° de réf. du vendeur ria9780521359283_new
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Vendeur : Chiron Media, Wallingford, Royaume-Uni
Paperback. Etat : New. N° de réf. du vendeur 6666-IUK-9780521359283
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