Schoenberg's Error


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Schoenberg's Error


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Selected by Choice magazine as an Outstanding Academic Book




Applied Algebra, Algebraic Algorithms and Error-Correcting Codes


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Researchers may find themselves confronted with proteases, either because they play an essential role in a particular process they are studying, or because they interfere with that process. In either case they may need to investigate or inhibit the proteolytic activity. Others may wish to use proteolytic enzymes as laboratory tools. This book has been written with these investigators in mind and includes assay methods using natural and artificial substrates, genetic-based assays, and strategies for the inhibition, purification and crystallization of proteases. In selected chapters the use of proteolytic enzymes to analyze proteins, segregate cells or in peptide synthesis is covered.




Schoenberg, Wittgenstein and the Vienna Circle


Book Description

In 2006, Schoenberg, Wittgenstein, and the Vienna Circle received a Lewis Lockwood Award (Finalist) from the American Musicological Society, for outstanding new books on musicological topics. This study examines relativistic aspects of Arnold Schoenberg's harmonic and aesthetic theories in the light of a framework of ideas presented in the early writings of Ludwig Wittgenstein, the logician, philosopher of language, and Schoenberg's contemporary and Austrian compatriot. The author has identified correspondences between the writings of Schoenberg, the early Wittgenstein (the Tractatus Logico-Philosophicus, in particular), and the Vienna Circle of philosophers, on a wide range of topics and themes. Issues discussed include the nature and limits of language, musical universals, theoretical conventionalism, word-to-world correspondence in language, the need for a fact- and comparison-based approach to art criticism, and the nature of music-theoretical formalism and mathematical modeling. Schoenberg and Wittgenstein are shown to have shared a vision that is remarkable for its uniformity and balance, one that points toward the reconciliation of the positivist/relativist dualism that has dominated recent discourse in music theory. Contrary to earlier accounts of Schoenberg's harmonic and aesthetic relativism, this study identifies a solid epistemological core underlying his thought, a view that was very much in step with Wittgenstein and the Vienna Circle, and thereby with the most vigorous and pivotal developments in early twentieth century intellectual history




Schoenberg's Correspondence with Alma Mahler


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Schoenberg's Correspondence with Alma Mahler documents a modern music friendship spanning a half century (1903-1951) and two continents.




The Michigan Digest Annotated


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Fundamentals of Musical Composition


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Fundamentals of Musical Composition represents the culmination of more than forty years in Schoenberg's life devoted to the teaching of musical principles to students and composers in Europe and America. For his classes he developed a manner of presentation in which 'every technical matter is discussed in a very fundamental way, so that at the same time it is both simple and thorough'. This book can be used for analysis as well as for composition. On the one hand, it has the practical objective of introducing students to the process of composing in a systematic way, from the smallest to the largest forms; on the other hand, the author analyses in thorough detail and with numerous illustrations those particular sections in the works of the masters which relate to the compositional problem under discussion.




Style and Idea


Book Description

One of the most influential collections of music ever published, Style and Idea includes Schoenberg’s writings about himself and his music as well as studies of many other composers and reflections on art and society.




Structural Equations with Latent Variables


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Analysis of Ordinal Categorical Data Alan Agresti Statistical Science Now has its first coordinated manual of methods for analyzing ordered categorical data. This book discusses specialized models that, unlike standard methods underlying nominal categorical data, efficiently use the information on ordering. It begins with an introduction to basic descriptive and inferential methods for categorical data, and then gives thorough coverage of the most current developments, such as loglinear and logit models for ordinal data. Special emphasis is placed on interpretation and application of methods and contains an integrated comparison of the available strategies for analyzing ordinal data. This is a case study work with illuminating examples taken from across the wide spectrum of ordinal categorical applications. 1984 (0 471-89055-3) 287 pp. Regression Diagnostics Identifying Influential Data and Sources of Collinearity David A. Belsley, Edwin Kuh and Roy E. Welsch This book provides the practicing statistician and econometrician with new tools for assessing the quality and reliability of regression estimates. Diagnostic techniques are developed that aid in the systematic location of data points that are either unusual or inordinately influential; measure the presence and intensity of collinear relations among the regression data and help to identify the variables involved in each; and pinpoint the estimated coefficients that are potentially most adversely affected. The primary emphasis of these contributions is on diagnostics, but suggestions for remedial action are given and illustrated. 1980 (0 471-05856-4) 292 pp. Applied Regression Analysis Second Edition Norman Draper and Harry Smith Featuring a significant expansion of material reflecting recent advances, here is a complete and up-to-date introduction to the fundamentals of regression analysis, focusing on understanding the latest concepts and applications of these methods. The authors thoroughly explore the fitting and checking of both linear and nonlinear regression models, using small or large data sets and pocket or high-speed computing equipment. Features added to this Second Edition include the practical implications of linear regression; the Durbin-Watson test for serial correlation; families of transformations; inverse, ridge, latent root and robust regression; and nonlinear growth models. Includes many new exercises and worked examples. 1981 (0 471-02995-5) 709 pp.