02987nam 2200577 450 991048057020332120180613001258.01-4704-0798-1(CKB)3360000000464562(EBL)3113881(SSID)ssj0000889220(PQKBManifestationID)11493933(PQKBTitleCode)TC0000889220(PQKBWorkID)10876495(PQKB)11481046(MiAaPQ)EBC3113881(PPN)195412613(EXLCZ)99336000000046456220140908h19871987 uy 0engur|n|---|||||txtccrSome topological and geometrical structures in Banach spaces /N. Ghoussoub [and three others]Providence, Rhode Island :American Mathematical Society,1987.©19871 online resource (123 p.)Memoirs of the American Mathematical Society,0065-9266 ;Volume 70, Number 378"November 1987, Volume 70, Number 378 (end of volume)."0-8218-2441-4 Includes bibliographical references.""Contents""; ""0. Introduction""; ""I. First class functions around a subset of a Polish space""; ""A. Characterizations of first class functions around sets""; ""B. Spaces of continuous functions and convergence around sets""; ""C. Compact families of first class functions around a subset of a Polish space""; ""II. Affine and first class functions around a subset of a convex compact""; ""III. Dentability and related notions in Banach spaces""; ""A. Some geometrical properties of subsets of Banach spaces""; ""B. Extension of the above properties to operators""""IV. Operators from L[sup(1)][0,1] into Banach spaces""""A. The structure of the positive face of the unit ball of L[sup(1)]""; ""B. Equimeasurable sets and Radon-Nikodym operators""; ""C. Sets of small oscillation and strongly regular operators""; ""D. Sets of regular oscillation and regular operators""; ""V. A characterization of strongly regular Banach spaces""; ""VI. On w*-regular sets in dual Banach spaces""; ""A. On the topological structure of w*-regular sets""; ""B. w*-regularity and the w*-Radon-Nikodym property""; ""C. Regular w*-compact convex sets""Memoirs of the American Mathematical Society ;Volume 70, Number 378.Banach spacesConvexity spacesBanach spacesRadon-Nikodym propertyElectronic books.Banach spaces.Convexity spaces.Banach spacesRadon-Nikodym property.515.7/32Ghoussoub N(Nassif),1953-MiAaPQMiAaPQMiAaPQBOOK9910480570203321Some topological and geometrical structures in Banach spaces1908037UNINA03043nam 22005295 450 99641825440331620200930134825.03-030-46287-010.1007/978-3-030-46287-1(CKB)4100000011413814(DE-He213)978-3-030-46287-1(MiAaPQ)EBC6331628(PPN)250222655(EXLCZ)99410000001141381420200901d2020 u| 0engurnn|008mamaatxtrdacontentcrdamediacrrdacarrierCollineations and Conic Sections[electronic resource] An Introduction to Projective Geometry in its History /by Christopher Baltus1st ed. 2020.Cham :Springer International Publishing :Imprint: Springer,2020.1 online resource (XI, 187 p.) 3-030-46286-2 Includes bibliographical references and index.Preface -- 1. Introduction -- 2. Central Collineations -- 3. The Geometry of Euclid's Elements -- 4. Conics in Greek Geometry -- 5. Conic Sections in Early Modern Europe -- 6. Conic Sections in Early Modern Europe -- 7. Central Collineations -- 8. Nineteenth Century -- 9. Foci -- 10. Steiner. 11. Desargues and Involution -- 12. Looking Ahead -- 13. Matrices and Homogeneous Coordinates -- 14. Some Applications of Conics in History -- 15. Vertical Stretch and Isaac Newton's Conics -- 16. Three Appendices -- Bibliography.This volume combines an introduction to central collineations with an introduction to projective geometry, set in its historical context and aiming to provide the reader with a general history through the middle of the nineteenth century. Topics covered include but are not limited to: The Projective Plane and Central Collineations The Geometry of Euclid's Elements Conic Sections in Early Modern Europe Applications of Conics in History With rare exception, the only prior knowledge required is a background in high school geometry. As a proof-based treatment, this monograph will be of interest to those who enjoy logical thinking, and could also be used in a geometry course that emphasizes projective geometry.Projective geometryMathematicsHistoryProjective Geometryhttps://scigraph.springernature.com/ontologies/product-market-codes/M21050History of Mathematical Scienceshttps://scigraph.springernature.com/ontologies/product-market-codes/M23009Projective geometry.Mathematics.History.Projective Geometry.History of Mathematical Sciences.516.5Baltus Christopherauthttp://id.loc.gov/vocabulary/relators/aut879371MiAaPQMiAaPQMiAaPQBOOK996418254403316Collineations and Conic Sections1963628UNISA