03562nam 2200769Ia 450 991096741500332120200520144314.01-003-69482-91-04-078643-X1-282-59184-3978661259184690-485-1176-3(CKB)2670000000017162(EBL)542569(OCoLC)645097397(SSID)ssj0000416925(PQKBManifestationID)11300992(PQKBTitleCode)TC0000416925(PQKBWorkID)10437211(PQKB)10382147(Au-PeEL)EBL542569(CaPaEBR)ebr10373183(CaONFJC)MIL259184(MiAaPQ)EBC542569(EXLCZ)99267000000001716220100513d2009 uy 0engur|n|---|||||txtccrEnhanced publications linking publications and research data in digital repositories /Saskia Woutersen-Windhouwer, ... [et al.] ; (edited by Marjan Vernooy-Gerritsen)1st ed.Amsterdam Amsterdam University Pressc20091 online resource (211 p.)Trends in research information management"SURF Foundation"."This work contains descriptions of the DRIVER II project findings ... produced with the assistance of the European Union" - t.p. verso.90-8964-188-2 Includes bibliographical references.Enhanced Publications; Contents; About the contributors; About the DRIVER Studies; Trends in Research Information Management; 1. Introduction; 2. Structural Elements of an Enhanced Publication; 3. Publication Models; 4. Characteristic Features of Objects; 5. Relations; 6. Current Repository Projects; 7. Conclusion; Appendix: Identifiers and Identifier Resolution Services; References; 8. Introduction; 9. Definitions and Principles; 10. Requirements and Recommendations; 11. Data Model; 12. Vocabularies; 13. Recommendation for Serialisation; 14. Conclusion; References15. Sample Datasets of Enhanced Publications16. Demonstrator; 17. General Discussion and Conclusions; 18. Introduction; 19. Institutional Repositories and long-term Preservation Archives; 20. A Demonstrator for an LTP Connector; 21. Archiving Agreement and Enhanced Publications; 22. General Conclusions; Appendix. Work AgreementsThe traditional publication will be overhauled by the 'Enhanced Publication'. This is a publication that is enhanced with research data, extra materials, post publication data, and database records. It has an object-based structure with explicit lSurf / EU-DriverDigital librariesInformation retrievalElectronic publicationsInteractive multimediaElectronic publishingDigital libraries.Information retrieval.Electronic publications.Interactive multimedia.Electronic publishing.026.55Woutersen-Windhouwer Saskia1849703Vernooy-Gerritsen Marjan1952-1848926DRIVER (Project : Europe)European Union.Stichting SURF.MiAaPQMiAaPQMiAaPQBOOK9910967415003321Enhanced publications4441321UNINA04292nam 22006615 450 991036085260332120200705160427.09789811517396981151739810.1007/978-981-15-1739-6(CKB)4100000009844812(DE-He213)978-981-15-1739-6(MiAaPQ)EBC5978848(PPN)269145281(MiAaPQ)EBC31872513(Au-PeEL)EBL31872513(EXLCZ)99410000000984481220191113d2019 u| 0engurnn#008mamaatxtrdacontentcrdamediacrrdacarrierDifferential Geometry of Curves and Surfaces /by Shoshichi Kobayashi1st ed. 2019.Singapore :Springer Singapore :Imprint: Springer,2019.1 online resource (XII, 192 p. 1 illus.)Springer Undergraduate Mathematics Series,1615-20859789811517389 981151738X Plane Curves and Space Curves -- Local Theory of Surfaces in the Space -- Geometry of Surfaces -- The Gauss-Bonnet Theorem -- Minimal Surfaces. .This book is a posthumous publication of a classic by Prof. Shoshichi Kobayashi, who taught at U.C. Berkeley for 50 years, recently translated by Eriko Shinozaki Nagumo and Makiko Sumi Tanaka. There are five chapters: 1. Plane Curves and Space Curves; 2. Local Theory of Surfaces in Space; 3. Geometry of Surfaces; 4. Gauss–Bonnet Theorem; and 5. Minimal Surfaces. Chapter 1 discusses local and global properties of planar curves and curves in space. Chapter 2 deals with local properties of surfaces in 3-dimensional Euclidean space. Two types of curvatures — the Gaussian curvature K and the mean curvature H —are introduced. The method of the moving frames, a standard technique in differential geometry, is introduced in the context of a surface in 3-dimensional Euclidean space. In Chapter 3, the Riemannian metric on a surface is introduced and properties determined only by the first fundamental form are discussed. The concept of a geodesic introduced in Chapter 2 is extensively discussed, and several examples of geodesics are presented with illustrations. Chapter 4 starts with a simple and elegant proof of Stokes’ theorem for a domain. Then the Gauss–Bonnet theorem, the major topic of this book, is discussed at great length. The theorem is a most beautiful and deep result in differential geometry. It yields a relation between the integral of the Gaussian curvature over a given oriented closed surface S and the topology of S in terms of its Euler number χ(S). Here again, many illustrations are provided to facilitate the reader’s understanding. Chapter 5, Minimal Surfaces, requires some elementary knowledge of complex analysis. However, the author retained the introductory nature of this book and focused on detailed explanations of the examples of minimal surfaces given in Chapter 2. .Springer Undergraduate Mathematics Series,1615-2085Geometry, DifferentialMathematical analysisAnalysis (Mathematics)Manifolds (Mathematics)Complex manifoldsDifferential Geometryhttps://scigraph.springernature.com/ontologies/product-market-codes/M21022Analysishttps://scigraph.springernature.com/ontologies/product-market-codes/M12007Manifolds and Cell Complexes (incl. Diff.Topology)https://scigraph.springernature.com/ontologies/product-market-codes/M28027Geometry, Differential.Mathematical analysis.Analysis (Mathematics).Manifolds (Mathematics)Complex manifolds.Differential Geometry.Analysis.Manifolds and Cell Complexes (incl. Diff.Topology).516.36Kobayashi Shoshichiauthttp://id.loc.gov/vocabulary/relators/aut42069MiAaPQMiAaPQMiAaPQBOOK9910360852603321Differential Geometry of Curves and Surfaces1733854UNINA