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001468489 001__ 1468489
001468489 003__ OCoLC
001468489 005__ 20230707003253.0
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001468489 008__ 230603s2023\\\\sz\\\\\\ob\\\\001\0\eng\d
001468489 019__ $$a1380460180
001468489 020__ $$a9783031283642$$q(electronic bk.)
001468489 020__ $$a3031283643$$q(electronic bk.)
001468489 020__ $$z3031283635
001468489 020__ $$z9783031283635
001468489 0247_ $$a10.1007/978-3-031-28364-2$$2doi
001468489 035__ $$aSP(OCoLC)1381095641
001468489 040__ $$aEBLCP$$beng$$cEBLCP$$dGW5XE$$dYDX$$dEBLCP
001468489 049__ $$aISEA
001468489 050_4 $$aQA561
001468489 08204 $$a516.3$$223/eng/20230605
001468489 1001_ $$aLópez de Medrano, Santiago.
001468489 24510 $$aTopology and geometry of intersections of ellipsoids in R^n /$$cSantiago López de Medrano.
001468489 260__ $$aCham :$$bSpringer,$$c2023.
001468489 300__ $$a1 online resource (277 p.).
001468489 4901_ $$aGrundlehren der Mathematischen Wissenschaften ;$$v361
001468489 504__ $$aIncludes bibliographical references and index.
001468489 5050_ $$a1 Introduction -- PART I: General Results -- 2 General intersections of quadrics -- 3 Intersections of coaxial quadrics -- 4 Intersections of coaxial ellipsoids -- PART II: Topological description of transverse intersections of concentric ellipsoids -- 5 Characterization of connected sums -- 6 Three coaxial ellipsoids -- 7 Three concentric ellipsoids -- 8 More than three coaxial ellipsoids -- 9 A family of surfaces that are intersections of concentric, non-coaxial, ellipsoid -- PART III: Relations with other areas of Mathematics -- 10 Dynamical systems -- 11 Complex Geometry -- 12 Contact and symplectic Geometry -- 13 Intersections with dihedral symmetry -- 14 Toric Topology and polyhedral products -- PART IV: Appendices -- 15 Appendix 1. Proof of Theorem 2.1 -- 16 Appendix 2. Origins -- 17 Appendix 3. Diagonalizability of matrices -- 18 Appendix 4: Complements of products of spheres in spheres.
001468489 506__ $$aAccess limited to authorized users.
001468489 520__ $$aThis book gives an overview of research in the topology and geometry of intersections of quadrics in $\mathbb{R}^n$, with a focus on intersections of concentric ellipsoids and related spaces. Unifying and organizing material previously spread over many articles, it also contains new results. The first part provides very detailed foundations of a wide-ranging theory that could be useful for future developments. It includes chapters on general intersections of quadrics, operations on them, and intersections of concentric and coaxial quadrics. Moving from the general to the specific, the second part focuses on a topological description of transverse intersections of concentric ellipsoids, including a complete description of the case of three ellipsoids, and of some large families of more than three of them. The third part looks at relations to other areas of mathematics such as dynamical systems, complex geometry, contact and symplectic geometry, and other applications. An appendix gathers some technical items and also gives an account of the origins, motivations and progression of the subject, including historical recollections of the author, who has been central to its development.
001468489 588__ $$aOnline resource; title from PDF title page (SpringerLink, viewed June 5, 2023).
001468489 650_0 $$aEllipsoid.
001468489 650_0 $$aQuadrics.
001468489 650_0 $$aIntersection theory (Mathematics)
001468489 655_0 $$aElectronic books.
001468489 77608 $$iPrint version:$$aLópez de Medrano, Santiago$$tTopology and Geometry of Intersections of Ellipsoids in R^n$$dCham : Springer International Publishing AG,c2023$$z9783031283635
001468489 830_0 $$aGrundlehren der mathematischen Wissenschaften ;$$v361.
001468489 852__ $$bebk
001468489 85640 $$3Springer Nature$$uhttps://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-3-031-28364-2$$zOnline Access$$91397441.1
001468489 909CO $$ooai:library.usi.edu:1468489$$pGLOBAL_SET
001468489 980__ $$aBIB
001468489 980__ $$aEBOOK
001468489 982__ $$aEbook
001468489 983__ $$aOnline
001468489 994__ $$a92$$bISE