03612nam 2200481 450 99646452970331620220817145647.03-030-85629-1(MiAaPQ)EBC6805059(Au-PeEL)EBL6805059(CKB)19421983900041(OCoLC)1285779713(PPN)258840196(EXLCZ)991942198390004120220817d2021 uy 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierMaking musical time /Guerino Mazzola [and five others]Cham, Switzerland :Springer,[2021]©20211 online resource (261 pages)Computational music sciencePrint version: Mazzola, G. (Guerino) Making musical time Cham : Springer International Publishing AG,c2021 9783030856281 Includes bibliographical references and index.Part I Ontological Orientation -- 1. Ontology, Oniontology, and the (History and Present Stage -- 5. Genealogy and Ontology of Human Time Perception -- Part III Musical Time Concepts -- 6. Meters and Rhythm -- 7. Structures of Organized Time -- 8. Musical Gestures -- 9. Kramers Time Concepts -- 10. Distributed Identity in Music -- Part IV New Developments on Musical Time Concepts -- 11. Limits of Gestural Diagrams -- 12. Imaginary Time -- 13. Mathematical Modeling Kramers Time Concepts -- 14. Functorial Semiotics of Time -- 15. Jordon, Chris, and Renan: Application of these theories -- 16. Experiments with Local and Global Rhythms -- Part V Conclusions -- 17. Time Constructs as a Deeply Musical Endeavor -- 18. Art of Time -- 19. Human Create their Own TimeThis book is a comprehensive examination of the conception, perception, performance, and composition of time in music across time and culture. It surveys the literature of time in mathematics, philosophy, psychology, music theory, and somatic studies (medicine and disability studies) and looks ahead through original research in performance, composition, psychology, and education. It is the first monograph solely devoted to the theory of construction of musical time since Kramer in 1988, with new insights, mathematical precision, and an expansive global and historical context. The mathematical methods applied for the construction of musical time are totally new. They relate to category theory (projective limits) and the mathematical theory of gestures. These methods and results extend the music theory of time but also apply to the applied performative understanding of making music. In addition, it is the very first approach to a constructive theory of time, deduced from the recent theory of musical gestures and their categories. Making Musical Time is intended for a wide audience of scholars with interest in music. These include mathematicians, music theorists, (ethno)musicologists, music psychologists / educators / therapists, music performers, philosophers of music, audiologists, and acousticians.Computational music science.Time in rabbinical literatureMathematicsStudy and teachingActivity programsTime in rabbinical literature.MathematicsStudy and teachingActivity programs.781.22Mazzola G(Guerino),931562MiAaPQMiAaPQMiAaPQBOOK996464529703316Making musical time2842626UNISA03796nam 2200637 a 450 991078503790332120200520144314.01-283-25095-097866132509570-8176-4703-110.1007/978-0-8176-4703-2(CKB)2670000000034238(EBL)763634(OCoLC)649426328(SSID)ssj0000450293(PQKBManifestationID)11309083(PQKBTitleCode)TC0000450293(PQKBWorkID)10434700(PQKB)11414904(DE-He213)978-0-8176-4703-2(MiAaPQ)EBC763634(Au-PeEL)EBL763634(CaPaEBR)ebr10395445(CaONFJC)MIL325095(PPN)149040148(EXLCZ)99267000000003423820071129d2008 uy 0engur|n|---|||||txtrdacontentcrdamediacrrdacarrierShape-preserving approximation by real and complex polynomials[electronic resource] /Sorin G. Gal1st ed. 2008.Boston Birkhäuser20081 online resource (364 pages)Description based upon print version of record.0-8176-4702-3 Includes bibliographical references and index.Shape-Preserving Approximation By Real Univariate Polynomials -- Shape-Preserving Approximation by Real Multivariate Polynomials -- Shape-Preserving Approximation by Complex Univariate Polynomials -- Shape-Preserving Approximation by Complex Multivariate Polynomials -- Appendix : Some Related Topics.This monograph presents the first comprehensive treatment in book form of shape-preserving approximation by real or complex polynomials in one or several variables. Such approximation methods are useful in many problems that arise in science and engineering and require an optimal mathematical representation of physical reality. The main topics are structured in four chapters, followed by an appendix: shape-preserving approximation and interpolation of real functions of one real variable by real polynomials; shape-preserving approximation of real functions of several real variables by multivariate real polynomials; shape-preserving approximation of analytic functions of one complex variable by complex polynomials in the unit disk; and shape-preserving approximation of analytic functions of several complex variables on the unit ball or the unit polydisk by polynomials of several complex variables. The appendix treats related results of non-polynomial and non-spline approximations preserving shape including those by complexified operators with applications to complex partial differential equations. Shape-Preserving Approximation by Real and Complex Polynomials contains many open problems at the end of each chapter to stimulate future research along with a rich and updated bibliography surveying the vast literature. The text will be useful to graduate students and researchers interested in approximation theory, mathematical analysis, numerical analysis, computer aided geometric design, robotics, data fitting, chemistry, fluid mechanics, and engineering.Approximation theoryBernstein polynomialsMultivariate analysisApproximation theory.Bernstein polynomials.Multivariate analysis.511.4Gal Sorin G.1953-474332MiAaPQMiAaPQMiAaPQBOOK9910785037903321Shape-preserving approximation by real and complex polynomials3803525UNINA