| Description |
1 online resource (xi, 365 pages) : illustrations (some color). |
|
text file |
| Series |
EMS Tracts in Mathematics ; 28
|
|
EMS tracts in mathematics ; 28.
|
| Note |
Updated and translated version of: Variation et optimisation de formes : une analyse géométrique / Antoine Henrot, Michel Pierre. 2005. |
| Bibliography |
Includes bibliographical references and indexes. |
| Summary |
Optimizing the shape of an object to make it the most efficient, resistant, streamlined, lightest, noiseless, stealthy or the cheapest is clearly a very old task. But the recent explosion of modeling and scientific computing have given this topic new life. Many new and interesting questions have been asked. A mathematical topic was born - shape optimization (or optimum design). This book provides a self-contained introduction to modern mathematical approaches to shape optimization, relying only on undergraduate level prerequisite but allowing to tackle open questions in this vibrant field. The analytical and geometrical tools and methods for the study of shapes are developed. In particular, the text presents a systematic treatment of shape variations and optimization associated with the Laplace operator and the classical capacity. Emphasis is also put on differentiation with respect to domains and a FAQ on the usual topologies of domains is provided. The book ends with geometrical properties of optimal shapes, including the case where they do not exist. |
| Local Note |
eBooks on EBSCOhost EBSCO eBook Subscription Academic Collection - North America |
| Subject |
Manifolds (Mathematics)
|
|
Manifolds (Mathematics) |
|
Calculus of variations.
|
|
Calculus of variations. |
|
Mathematical optimization.
|
|
Mathematical optimization. |
|
Minimal surfaces.
|
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Minimal surfaces. |
| Genre/Form |
Electronic books.
|
| Added Author |
Pierre, Michel, 1949- author.
|
|
European Mathematical Society, issuing body.
|
| Other Editions: |
Revision of: Henrot, Antoine 1957- Variation et optimisation de formes : une analyse géometrique 9783540376897 9783540262114 (OCoLC)71275357 |
| Other Form: |
Print version: Henrot, Antoine, 1957- Shape variation and optimization. Zürich, Switzerland : European Mathematical Society Publishing House, [2018] 9783037191781 (OCoLC)1028220247 |
| ISBN |
9783037196786 (electronic book) |
|
3037196785 (electronic book) |
|
9783037191781 (hardcover ; alkaline paper) |
|
3037191783 (hardcover ; alkaline paper) |
| Standard No. |
10.4171/178 |
|
