Return to Riemann

Return to Riemann PDF Author: J. P. E. Harper-Scott
Publisher: Taylor & Francis
ISBN: 1003861415
Category : Music
Languages : en
Pages : 99

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Book Description
This book is a music-theoretical and critical-theoretical study of late tonal music, and, in particular, of the music of Wagner’s Götterdämmerung. First, in terms of music theory, it proposes a new theory of tonal function that returns to the theories of Hugo Riemann to rediscover a development of his thought that has been covered over by the recent project of neo-Riemannian theory. Second, in terms of its philosophical approach, it reawakens the critical-theoretical examination of the relation between music and the late capitalist society that is sedimented in the musical materials themselves, and which the music, in turn, subjects to aesthetically embodied critique. The music, the theory, and the listeners and critics who respond to them are all radically reimagined. This book will be of interest to professional music theorists, undergraduates, and technically inclined musicians and listeners, that is, anyone who is fascinated by the chromatic magic of late-nineteenth-century music.

Return to Riemann

Return to Riemann PDF Author: J. P. E. Harper-Scott
Publisher: Taylor & Francis
ISBN: 1003861415
Category : Music
Languages : en
Pages : 99

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Book Description
This book is a music-theoretical and critical-theoretical study of late tonal music, and, in particular, of the music of Wagner’s Götterdämmerung. First, in terms of music theory, it proposes a new theory of tonal function that returns to the theories of Hugo Riemann to rediscover a development of his thought that has been covered over by the recent project of neo-Riemannian theory. Second, in terms of its philosophical approach, it reawakens the critical-theoretical examination of the relation between music and the late capitalist society that is sedimented in the musical materials themselves, and which the music, in turn, subjects to aesthetically embodied critique. The music, the theory, and the listeners and critics who respond to them are all radically reimagined. This book will be of interest to professional music theorists, undergraduates, and technically inclined musicians and listeners, that is, anyone who is fascinated by the chromatic magic of late-nineteenth-century music.

Hugo Riemann and the Birth of Modern Musical Thought

Hugo Riemann and the Birth of Modern Musical Thought PDF Author: Alexander Rehding
Publisher: Cambridge University Press
ISBN: 1139436716
Category : Music
Languages : en
Pages : 230

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Book Description
Generally acknowledged as the most important German musicologist of his age, Hugo Riemann (1849–1919) shaped the ideas of generations of music scholars, not least because his work coincided with the institutionalisation of academic musicology around the turn of the last century. This influence, however, belies the contentious idea at the heart of his musical thought, an idea he defended for most of his career - harmonic dualism. By situating Riemann's musical thought within turn-of-the-century discourses about the natural sciences, German nationhood and modern technology, this book reconstructs the cultural context in which Riemann's ideas not only 'made sense' but advanced an understanding of the tonal tradition as both natural and German. Riemann's musical thought - from his considerations of acoustical properties to his aesthetic and music-historical views - thus regains the coherence and cultural urgency that it once possessed.

The Oxford Handbook of Neo-Riemannian Music Theories

The Oxford Handbook of Neo-Riemannian Music Theories PDF Author: Edward Gollin
Publisher: OUP USA
ISBN: 0195321332
Category : Music
Languages : en
Pages : 628

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Book Description
In recent years neo-Riemannian theory has established itself as the leading approach of our time, and has proven particularly adept at explaining features of chromatic music. The Oxford Handbook of Neo-Riemannian Music Theories assembles an international group of leading music theory scholars in an exploration of the music-analytical, theoretical, and historical aspects of this new field.

The Event of Music History

The Event of Music History PDF Author: J. P. E. Harper-Scott
Publisher: Boydell & Brewer
ISBN: 1783275995
Category : MUSIC
Languages : en
Pages : 263

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Book Description
Brings musicology to the cutting edge of debates in the postmodern philosophy of history.

Music Psychology

Music Psychology PDF Author: Ernst Kurth
Publisher: Routledge
ISBN: 1315307898
Category : Music
Languages : en
Pages : 296

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Book Description
The first edition of Ernst Kurth’s Musikpsychologie appeared in 1931, and was regarded by contemporaneous psychologists as no less than the foundation for a new systematic approach to the perception and cognition of music. Time has hardly diminished Kurth’s standing as an original scholar with a distinctive point of view. Music theorists, both in Europe and North America, regard him as an important figure in the history of music theory. Daphne Tan and Christoph Neidhöfer’s first full translation provides English-speaking theorists the opportunity to delve deeper into his ideas. Indeed, Kurth’s concerns – listening habits and habituation, metaphorical language, the limits of memory, and the role of the body in music experience, to name a few – are shared by many in the field today, especially scholars who work at the intersections of music theory, psychology, linguistics, and related disciplines. And while Kurth’s approach lacks the scientific rigour of modern-day empirical musicology, Musikpsychologie nevertheless presents a source of testable hypotheses for those working in the area of music perception and cognition. This translation of Musikpsychologie also has the potential to inspire a new generation of composers, especially through the topics in the second section (energy, force, space, and matter) and, given the inherently interdisciplinary nature of this book and the number of philosophical and scientific sources Kurth incorporates, it will appeal to those interested in the history of science and particularly in the emergence of psychology as an academic discipline in the early 20th century.

Improper Riemann Integrals

Improper Riemann Integrals PDF Author: Ioannis Roussos
Publisher: CRC Press
ISBN: 146658808X
Category : Mathematics
Languages : en
Pages : 681

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Book Description
Improper Riemann Integrals is the first book to collect classical and modern material on the subject for undergraduate students. The book gives students the prerequisites and tools to understand the convergence, principal value, and evaluation of the improper/generalized Riemann integral. It also illustrates applications to science and engineering

The Concept of a Riemann Surface

The Concept of a Riemann Surface PDF Author: Hermann Weyl
Publisher: Courier Corporation
ISBN: 048613167X
Category : Mathematics
Languages : en
Pages : 210

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Book Description
This classic on the general history of functions combines function theory and geometry, forming the basis of the modern approach to analysis, geometry, and topology. 1955 edition.

Reprint Series

Reprint Series PDF Author: School Mathematics Study Group
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 538

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Book Description


A Brief History of Analysis

A Brief History of Analysis PDF Author: Detlef D. Spalt
Publisher: Springer Nature
ISBN: 303100650X
Category : Mathematics
Languages : en
Pages : 265

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Book Description
This book explores the origins of mathematical analysis in an accessible, clear, and precise manner. Concepts such as function, continuity, and convergence are presented with a unique historical point of view. In part, this is accomplished by investigating the impact of and connections between famous figures, like Newton, Leibniz, Johann Bernoulli, Euler, and more. Of particular note is the treatment of Karl Weierstraß, whose concept of real numbers has been frequently overlooked until now. By providing such a broad yet detailed survey, this book examines how analysis was formed, how it has changed over time, and how it continues to evolve today. A Brief History of Analysis will appeal to a wide audience of students, instructors, and researchers who are interested in discovering new historical perspectives on otherwise familiar mathematical ideas.

R For College Mathematics and Statistics

R For College Mathematics and Statistics PDF Author: Thomas Pfaff
Publisher: CRC Press
ISBN: 1000000141
Category : Business & Economics
Languages : en
Pages : 338

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Book Description
R for College Mathematics and Statistics encourages the use of R in mathematics and statistics courses. Instructors are no longer limited to ``nice'' functions in calculus classes. They can require reports and homework with graphs. They can do simulations and experiments. R can be useful for student projects, for creating graphics for teaching, as well as for scholarly work. This book presents ways R, which is freely available, can enhance the teaching of mathematics and statistics. R has the potential to help students learn mathematics due to the need for precision, understanding of symbols and functions, and the logical nature of code. Moreover, the text provides students the opportunity for experimenting with concepts in any mathematics course. Features: Does not require previous experience with R Promotes the use of R in typical mathematics and statistics course work Organized by mathematics topics Utilizes an example-based approach Chapters are largely independent of each other