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Item Details
Title:
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TOPICS ON ANALYSIS IN METRIC SPACES
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By: |
Luigi Ambrosio, Paolo Tilli |
Format: |
Hardback |

List price:
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£95.00 |
Our price: |
£83.13 |
Discount: |
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You save:
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£11.87 |
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ISBN 10: |
0198529384 |
ISBN 13: |
9780198529385 |
Availability: |
Usually dispatched within 1-3 weeks.
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Stock: |
Currently 0 available |
Publisher: |
OXFORD UNIVERSITY PRESS |
Pub. date: |
18 December, 2003 |
Series: |
Oxford Lecture Series in Mathematics and Its Applications 25 |
Pages: |
142 |
Description: |
Based on lecture notes from the Scuola Normale this book presents the main mathematical prerequisites for analysis in metric spaces. Supplemented with exercises of varying difficulty it is ideal for a graduate-level short course for applied mathematicians and engineers. |
Synopsis: |
Based on lecture notes from the Scuola Normale this book presents the main mathematical prerequisites for analysis in metric spaces. Supplemented with exercises of varying difficulty it is ideal for a graduate-level short course for applied mathematicians and engineers. The book covers abstract measure theory, Hausdorff measures, Lipschitz functions, covering theorems, lower semicontinuity of the one-dimensional Hausdorff measure, Sobolev spaces of maps between metric spaces, and Gromov-Hausdorff theory, all developed in a general metric setting. The existence of geodesics (and more generally of minimal Steiner connections) is discussed in general metric spaces and, as an application of the Gromov-Hausdorff theory, even in some cases when the ambient space is not locally compact. A brief and very general description of the theory of integration with respect to non-decreasing set functions is presented following the Di Giorgi method of using Cavalieri's formula as the definition of the integral. |
Illustrations: |
numerous line drawings |
Publication: |
UK |
Imprint: |
Oxford University Press |
Returns: |
Returnable |
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