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Introduction to the Analysis of Metric Spaces: 3 (Australian Mathematical Society Lecture Series, Series Number 3) - Softcover
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.
"synopsis" may belong to another edition of this title.
Book Description
An introduction to the analysis of metric and normed linear spaces for undergraduate students in mathematics. 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. Graded exercises are provided.
"About this title" may belong to another edition of this title.
- PublisherCambridge University Press
- Publication date1987
- ISBN 10 0521359287
- ISBN 13 9780521359283
- BindingPaperback
- LanguageEnglish
- Number of pages272
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Introduction to the Analysis of Metric Spaces (Australian Mathematical Society Lecture Series, Series Number 3)
Published by
Cambridge University Press, 1987
ISBN 10: 0521359287
ISBN 13: 9780521359283
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Introduction to the Analysis of Metric Spaces
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ISBN 10: 0521359287
ISBN 13: 9780521359283
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Introduction to the Analysis of Metric Spaces
Published by
Cambridge University Press, 1987
ISBN 10: 0521359287
ISBN 13: 9780521359283
Used
Softcover
Seller: Anybook.com, Lincoln, United Kingdom
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Condition: 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. Seller Inventory # 3943496
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Introduction to the Analysis of Metric Space
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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)
Published by
Cambridge University Press, 1987
ISBN 10: 0521359287
ISBN 13: 9780521359283
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Introduction to the Analysis of Metric Spaces
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Introduction to the Analysis of Metric Spaces
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ISBN 13: 9780521359283
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Introduction to the Analysis of Metric Spaces: 03 (Australian Mathematical Society Lecture Series)
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Introduction to the Analysis of Metric Spaces (Australian Mathematical Society Lecture Series, Series Number 3)
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Cambridge University Press, 1987
ISBN 10: 0521359287
ISBN 13: 9780521359283
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Introduction to the Analysis of Metric Spaces (Paperback)
Published by
Cambridge University Press, Cambridge, 1987
ISBN 10: 0521359287
ISBN 13: 9780521359283
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Paperback. Condition: 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. Seller Inventory # 9780521359283
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