Return to Riemann

Return to Riemann PDF

Author: J. P. E. Harper-Scott

Publisher: Taylor & Francis

Published: 2024-02-16

Total Pages: 99

ISBN-13: 1003861415

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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: John Paul Edward Harper-Scott

Publisher:

Published: 2024

Total Pages: 0

ISBN-13: 9781032025063

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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, which 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 which 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: anyone, that is, 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

Published: 2003-05-01

Total Pages: 230

ISBN-13: 1139436716

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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

Published: 2011-12-22

Total Pages: 628

ISBN-13: 0195321332

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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.

Riemann, Topology, and Physics

Riemann, Topology, and Physics PDF

Author: Michael I. Monastyrsky

Publisher: Springer Science & Business Media

Published: 2009-06-08

Total Pages: 220

ISBN-13: 0817647791

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The significantly expanded second edition of this book combines a fascinating account of the life and work of Bernhard Riemann with a lucid discussion of current interaction between topology and physics. The author, a distinguished mathematical physicist, takes into account his own research at the Riemann archives of Göttingen University and developments over the last decade that connect Riemann with numerous significant ideas and methods reflected throughout contemporary mathematics and physics. Special attention is paid in part one to results on the Riemann–Hilbert problem and, in part two, to discoveries in field theory and condensed matter.

The Event of Music History

The Event of Music History PDF

Author: J. P. E. Harper-Scott

Publisher: Boydell & Brewer

Published: 2021

Total Pages: 263

ISBN-13: 1783275995

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

Improper Riemann Integrals

Improper Riemann Integrals PDF

Author: Ioannis Roussos

Publisher: CRC Press

Published: 2016-04-19

Total Pages: 681

ISBN-13: 146658808X

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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

Stalking the Riemann Hypothesis

Stalking the Riemann Hypothesis PDF

Author: Dan Rockmore

Publisher: Vintage

Published: 2006-05-09

Total Pages: 306

ISBN-13: 0375727728

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For 150 years the Riemann hypothesis has been the holy grail of mathematics. Now, at a moment when mathematicians are finally moving in on a proof, Dartmouth professor Dan Rockmore tells the riveting history of the hunt for a solution.In 1859 German professor Bernhard Riemann postulated a law capable of describing with an amazing degree of accuracy the occurrence of the prime numbers. Rockmore takes us all the way from Euclid to the mysteries of quantum chaos to show how the Riemann hypothesis lies at the very heart of some of the most cutting-edge research going on today in physics and mathematics.

A Brief History of Analysis

A Brief History of Analysis PDF

Author: Detlef D. Spalt

Publisher: Springer Nature

Published: 2022-08-02

Total Pages: 265

ISBN-13: 303100650X

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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

Published: 2019-04-01

Total Pages: 326

ISBN-13: 1000000141

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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