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Synopsis
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.
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Présentation de l'éditeur
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.
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Introduction to the Analysis of Metric Spaces (Australian Mathematical Society Lecture Series, Series Number 3)
Edité par
Cambridge University Press, 1987
ISBN 10 : 0521359287
ISBN 13 : 9780521359283
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Introduction to the Analysis of Metric Spaces
Edité par
Cambridge University Press, 1989
ISBN 10 : 0521359287
ISBN 13 : 9780521359283
Ancien ou d'occasion
Couverture souple
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Introduction to the Analysis of Metric Spaces
Edité par
Cambridge University Press, 1987
ISBN 10 : 0521359287
ISBN 13 : 9780521359283
Ancien ou d'occasion
Couverture souple
Vendeur : Anybook.com, Lincoln, Royaume-Uni
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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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Introduction to the Analysis of Metric Space
Edité par
Cambridge University Press, 1987
ISBN 10 : 0521359287
ISBN 13 : 9780521359283
Ancien ou d'occasion
Couverture souple
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Introduction to the Analysis of Metric Spaces
Edité par
Cambridge University Press, 1987
ISBN 10 : 0521359287
ISBN 13 : 9780521359283
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Introduction to the Analysis of Metric Spaces (Australian Mathematical Society Lecture Series, Series Number 3)
Edité par
Cambridge University Press, 1987
ISBN 10 : 0521359287
ISBN 13 : 9780521359283
Neuf
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Introduction to the Analysis of Metric Spaces: 03 (Australian Mathematical Society Lecture Series)
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Cambridge University Press 1987-09-03, 1987
ISBN 10 : 0521359287
ISBN 13 : 9780521359283
Neuf
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Introduction to the Analysis of Metric Spaces (Australian Mathematical Society Lecture Series, Series Number 3)
Edité par
Cambridge University Press, 1987
ISBN 10 : 0521359287
ISBN 13 : 9780521359283
Neuf
Couverture souple
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Introduction to the Analysis of Metric Spaces
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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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Introduction to the Analysis of Metric Spaces (Paperback)
Edité par
Cambridge University Press, Cambridge, 1987
ISBN 10 : 0521359287
ISBN 13 : 9780521359283
Neuf
Paperback
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Paperback. Etat : new. Paperback. Assuming a basic knowledge of real analysis and linear algebra, the student is given some familiarity with the axiomatic method in analysis and is shown the power of this method in exploiting the fundamental analysis structures underlying a variety of applications. Although the text is titled metric spaces, normed linear spaces are introduced immediately because this added structure is present in many examples and its recognition brings an interesting link with linear algebra; finite dimensional spaces are discussed earlier. It is intended that metric spaces be studied in some detail before general topology is begun. This follows the teaching principle of proceeding from the concrete to the more abstract. Graded exercises are provided at the end of each section and in each set the earlier exercises are designed to assist in the detection of the abstract structural properties in concrete examples while the latter are more conceptually sophisticated. Assuming a basic knowledge of real analysis and linear algebra, the student is given some familiarity with the axiomatic method in analysis and is shown the power of this method in exploiting the fundamental analysis structures underlying a variety of applications. Although the text is titled metric spaces, normed linear spaces are introduced immediately because this added structure is present in many examples and its recognition brings an interesting link with linear algebra; finite dimensional spaces are discussed earlier. It is intended that metric spaces be studied in some detail before general topology is begun. This follows the teaching principle of proceeding from the concrete to the more abstract. Graded exercises are provided at the end of each section and in each set the earlier exercises are designed to assist in the detection of the abstract structural properties in concrete examples while the latter are more conceptually sophisticated. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. N° de réf. du vendeur 9780521359283
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