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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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£105.00 |
| Our price: |
£91.88 |
| Discount: |
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| You save:
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£13.12 |
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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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