Playing with history : the historical approach to musical performance / / John Butt [[electronic resource]]

• Record Nr.: UNINA9910455605903321
• Autore: Butt John
• Pubbl/distr/stampa: Cambridge : , : Cambridge University Press, , 2002
• ISBN: 1-107-12575-8; 1-280-43645-X; 0-511-17656-2; 0-511-04550-6; 0-511-15745-2; 0-511-30451-X; 0-511-61355-5; 0-511-01663-8
• Descrizione fisica: 1 online resource (xvi, 265 pages) : digital, PDF file(s)
• Collana: Musical performance and reception
• Disciplina: 781.4/311
• Soggetti: Performance practice (Music); Music - History and criticism
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Note generali: Title from publisher's bibliographic system (viewed on 05 Oct 2015).
• Nota di bibliografia: Includes bibliographical references (p. 243-252) and index.
• Nota di contenuto: Cover; Half-title; Series-title; Title; Copyright; Contents; Preface; Acknowledgements; Abbreviations; 1 Joining the historical performance debate; 2 Historical performance and truth to the work': history and the subversion of Platonism; 3 Historical performance and truth to the composer': rehabilitating intention; 4 Negotiating between work, composer and performer: rewriting the story of notational progress; 5 Historical performance at the crossroads of modernis and postmodernism
• Sommario/riassunto: Why do we feel the need to perform music in a historically informed style? Is this need related to wider cultural concerns? In this 2002 study, John Butt sums up debates on the nature of the early music movement and historically informed performance, calling upon a seemingly inexhaustible fund of ideas gleaned from historical musicology, analytic philosophy, literary theory, historiography and ; theories of modernism and postmodernism. He develops the critical views of both supporters and detractors of the movement, while claiming ultimately that it has more intellectual and artistic potential than its detractors may have assumed. He also asks whether the phenomenon of historically informed performance reflects changes in the culture of western music and how it, in turn, may have influenced that culture, particularly in regard to such issues as the status of the composer, the work, intentionality and notation.

Geometric Flows on Planar Lattices / / by Andrea Braides, Margherita Solci

• Record Nr.: UNINA9910482954103321
• Autore: Braides Andrea
• Pubbl/distr/stampa: Cham : , : Springer International Publishing : , : Imprint : Birkhäuser, , 2021
• ISBN: 3-030-69917-X
• Edizione: [1st ed. 2021.]
• Descrizione fisica: 1 online resource (138 pages) : illustrations
• Collana: Pathways in Mathematics, , 2367-346X
• Disciplina: 516.36
• Soggetti: Geometry, Differential; Mathematical optimization; Calculus of variations; Mathematical analysis; Differential Geometry; Calculus of Variations and Optimization; Analysis
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Nota di bibliografia: Includes bibliographical references and index.
• Nota di contenuto: Intro -- Preface -- Contents -- 1 Introduction: Motion on Lattices -- References -- 2 Variational Evolution -- 2.1 Discrete Orbits -- 2.1.1 Discrete Orbits at a Given Time Scale τ -- 2.1.2 Passage to the Limit as τ→0 in Discrete Orbits -- 2.2 The Minimizing-Movement Approach -- 2.2.1 Discrete-to-Continuum Limit for Lattice Energies -- 2.2.2 Minimizing Movements Along a Sequence -- 2.3 Some Notes on ; Minimizing Movements on Metric Spaces -- 2.3.1 An Existence Result -- 2.3.2 Minimizing Movements and Curves of Maximal Slope -- 2.3.3 The Colombo-Gobbino Condition -- References -- 3 Discrete-to-Continuum Limits of Planar Lattice Energies -- 3.1 Energies on Sets of Finite Perimeter -- 3.2 Limits of Homogeneous Energies in a Square Lattice -- 3.2.1 The Prototype: Homogeneous Nearest Neighbours -- 3.2.2 Next-to-Nearest Neighbour Interactions -- 3.2.3 Directional Nearest-Neighbour Interactions -- 3.2.4 General Form of the Limits of Homogeneous Ferromagnetic Energies -- 3.3 Limits of Inhomogeneous Energies in a Square Lattice -- 3.3.1 Layered Interactions -- 3.3.2 Alternating Nearest Neighbours (`Hard Inclusions') -- 3.3.3 Homogenization and Design of Networks -- 3.4 Limits in General Planar Lattices by Reduction to the Square Lattice -- References -- 4 Evolution of Planar Lattices -- 4.1 Flat Flows -- 4.1.1 Flat Flow for the Square Perimeter -- 4.1.2 Motion of a Rectangle -- 4.1.3 Motion of a General Set -- 4.1.4 An Example with Varying Initial Data -- 4.1.5 Flat Flow for an `Octagonal' Perimeter -- 4.2 Discrete-to-Continuum Geometric Evolutionon the Square Lattice -- 4.2.1 A Model Case: Nearest-Neighbour Homogeneous Energies -- 4.2.2 Next-to-Nearest-Neighbour Homogeneous Energies -- 4.2.3 Evolutions Avoiding Hard Inclusions -- 4.2.4 Asymmetric Motion -- 4.2.5 Homogenized Motion -- 4.2.6 Motions with an Oscillating Forcing Term -- 4.3 Conclusions.; References -- 5 Perspectives: Evolutions with Microstructure -- 5.1 High-Contrast Ferromagnetic Media: Mushy Layers -- 5.2 Some Evolutions for Antiferromagnetic Systems -- 5.2.1 Nearest-Neighbour Antiferromagnetic Interactions: Nucleation -- 5.2.2 Next-to-Nearest Neighbour Antiferromagnetic Interactions: The Effect of Corner Defects -- 5.3 More Conclusions -- References -- A -Limits in General Lattices -- B A Non-trivial Example with Trivial Minimizing Movements -- Index.
• Sommario/riassunto: This book introduces the reader to important concepts in modern applied analysis, such as homogenization, gradient flows on metric spaces, geometric evolution, Gamma-convergence tools, applications of geometric measure theory, properties of interfacial energies, etc. This is done by tackling a prototypical problem of interfacial evolution in heterogeneous media, where these concepts are introduced and elaborated in a natural and constructive way. At the same time, the analysis introduces open issues of a general and fundamental nature, at the core of important applications. The focus on two-dimensional lattices as a prototype of heterogeneous media allows visual descriptions of concepts and methods through a large amount of illustrations.