Téléchargez le livre :  Topology and Geometry of Intersections of Ellipsoids in R^n

Topology and Geometry of Intersections of Ellipsoids in R^n

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Éditeur :

Springer


Collection :

Grundlehren der mathematischen Wissenschaften

Paru le : 2023-05-24

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Description

This book gives an overview of research in the topology and geometry of intersections of quadrics in $\mathbb{R}^n$, with a focus on intersections of concentric ellipsoids and related spaces. Unifying and organizing material previously spread over many articles, it also contains new results.
The first part provides very detailed foundations of a wide-ranging theory that could be useful for future developments. It includes chapters on general intersections of quadrics, operations on them, and intersections of concentric and coaxial quadrics. Moving from the general to the specific, the second part focuses on a topological description of transverse intersections of concentric ellipsoids, including a complete description of the case of three ellipsoids, and of some large families of more than three of them. The third part looks at relations to other areas of mathematics such as dynamical systems, complex geometry, contact and symplectic geometry, andother applications. An appendix gathers some technical items and also gives an account of the origins, motivations and progression of the subject, including historical recollections of the author, who has been central to its development.
Pages
282 pages
Collection
Grundlehren der mathematischen Wissenschaften
Parution
2023-05-24
Marque
Springer
EAN papier
9783031283635
EAN PDF
9783031283642

Informations sur l'ebook
Nombre pages copiables
2
Nombre pages imprimables
28
Taille du fichier
5315 Ko
Prix
168,79 €