04156nam 2200697 450 99646655720331620230619194232.03-030-69056-310.1007/978-3-030-69056-4(CKB)4100000011794652(DE-He213)978-3-030-69056-4(MiAaPQ)EBC6512632(Au-PeEL)EBL6512632(OCoLC)1241731136(PPN)254719570(EXLCZ)99410000001179465220211007d2021 uy 0engurnn#008mamaatxtrdacontentcrdamediacrrdacarrierMinimal surfaces from a complex analytic viewpoint /Antonio Alarcón, Franc Forstnerič, Francisco J. López1st ed. 2021.Cham, Switzerland :Springer,[2021]©20211 online resource (XIII, 430 p. 24 illus., 21 illus. in color.)Springer monographs in mathematics3-030-69055-5 Includes bibliographical references and index.1 Fundamentals -- 2 Basics on Minimal Surfaces -- 3 Approximation and Interpolations Theorems for Minimal Surfaces -- 4 Complete Minimal Surfaces of Finite Total Curvature -- 5 The Gauss Map of a Minimal Surface -- 6 The Riemann–Hilbert Problem for Minimal Surfaces -- 7 The Calabi–Yau Problem for Minimal Surfaces -- 8 Minimal Surfaces in Minimally Convex Domains -- 9 Minimal Hulls, Null Hulls, and Currents -- References -- Index.This monograph offers the first systematic treatment of the theory of minimal surfaces in Euclidean spaces by complex analytic methods, many of which have been developed in recent decades as part of the theory of Oka manifolds (the h-principle in complex analysis). It places particular emphasis on the study of the global theory of minimal surfaces with a given complex structure. Advanced methods of holomorphic approximation, interpolation, and homotopy classification of manifold-valued maps, along with elements of convex integration theory, are implemented for the first time in the theory of minimal surfaces. The text also presents newly developed methods for constructing minimal surfaces in minimally convex domains of Rn, based on the Riemann–Hilbert boundary value problem adapted to minimal surfaces and holomorphic null curves. These methods also provide major advances in the classical Calabi–Yau problem, yielding in particular minimal surfaces with the conformal structure of any given bordered Riemann surface. Offering new directions in the field and several challenging open problems, the primary audience of the book are researchers (including postdocs and PhD students) in differential geometry and complex analysis. Although not primarily intended as a textbook, two introductory chapters surveying background material and the classical theory of minimal surfaces also make it suitable for preparing Masters or PhD level courses.Springer monographs in mathematics.Global analysis (Mathematics)Functions of complex variablesManifolds (Mathematics)Minimal surfacesAnàlisi global (Matemàtica)thubFuncions de variables complexesthubVarietats (Matemàtica)thubSuperfícies mínimesthubLlibres electrònicsthubGlobal analysis (Mathematics)Functions of complex variables.Manifolds (Mathematics)Minimal surfaces.Anàlisi global (Matemàtica)Funcions de variables complexesVarietats (Matemàtica)Superfícies mínimes514.74Alarcon Antonio850058Forstnerič FrancLópez Francisco J.MiAaPQMiAaPQMiAaPQBOOK996466557203316Minimal surfaces from a complex analytic viewpoint1898221UNISA03926nam 2200877 450 991078689630332120230803204057.00-8232-6195-60-8232-6646-X0-8232-6197-20-8232-6198-010.1515/9780823261970(CKB)3710000000216399(EBL)3239917(SSID)ssj0001355393(PQKBManifestationID)11762129(PQKBTitleCode)TC0001355393(PQKBWorkID)11346278(PQKB)11542599(StDuBDS)EDZ0001111241(MiAaPQ)EBC3239917(MiAaPQ)EBC4706387(OCoLC)890507580(MdBmJHUP)muse37914(DE-B1597)555425(DE-B1597)9780823261970(Au-PeEL)EBL3239917(CaPaEBR)ebr10904482(CaONFJC)MIL727817(OCoLC)923764332(OCoLC)889302695(MiAaPQ)EBC1961782(Au-PeEL)EBL1961782(EXLCZ)99371000000021639920140814h20142014 uy 0engur|nu---|u||utxtccrThe Helmholtz curves tracing lost time /Henning Schmidgen ; translated by Nils F. SchottFirst edition.New York :Fordham University Press,2014.©20141 online resource (247 p.)Forms of LivingDescription based upon print version of record.1-322-96535-8 0-8232-6194-8 Includes bibliographical references and index.Front matter --Contents --Illustrations --Preface --Introduction --1. Curves Regained --2. Semiotic Things --3. A Research Machine --4. Networks of Time, Networks of Knowledge --5. Time to Publish --6. Messages from the Big Toe --7. The Return of the Line --Conclusion --Chronology --Notes --Bibliography --IndexThis book reconstructs the emergence of the phenomenon of “lost time” by engaging with two of the most significant time experts of the nineteenth century: the German physiologist Hermann von Helmholtz and the French writer Marcel Proust. Its starting point is the archival discovery of curve images that Helmholtz produced in the context of pathbreaking experiments on the temporality of the nervous system in 1851. With a “frog drawing machine,” Helmholtz established the temporal gap between stimulus and response that has remained a core issue in debates between neuroscientists and philosophers. When naming the recorded phenomena, Helmholtz introduced the term temps perdu, or lost time. Proust had excellent contacts with the biomedical world of late-nineteenth-century Paris, and he was familiar with this term and physiological tracing technologies behind it. Drawing on the machine philosophy of Deleuze, Schmidgen highlights the resemblance between the machinic assemblages and rhizomatic networks within which Helmholtz and Proust pursued their respective projects.Forms of living.NeurobiologyHistoryNeurobiologyPhilosophyExperiment.Gilles Deleuze.Graphic Method.Hermann von Helmholtz.History of the Life Sciences.Marcel Proust.Media Studies.Time.Visualization.NeurobiologyHistory.NeurobiologyPhilosophy.612.8Schmidgen Henning1084189Schott Nils F.MiAaPQMiAaPQMiAaPQBOOK9910786896303321The Helmholtz curves3839757UNINA