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

Get Book

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: John Paul Edward Harper-Scott
Publisher:
ISBN: 9781032025063
Category : Chromaticism (Music)
Languages : en
Pages : 0

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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, 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
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.

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 : 326

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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

Einstein's Unification

Einstein's Unification PDF Author: Jeroen van Dongen
Publisher: Cambridge University Press
ISBN: 1139643924
Category : Science
Languages : en
Pages : 225

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Book Description
Why did Einstein tirelessly study unified field theory for more than thirty years? In this book, the author argues that Einstein believed he could find a unified theory of all of nature's forces by repeating the methods he thought he had used when he formulated general relativity. The book discusses Einstein's route to the general theory of relativity, focusing on the philosophical lessons that he learnt. It then addresses his quest for a unified theory for electromagnetism and gravity, discussing in detail his efforts with Kaluza-Klein and, surprisingly, the theory of spinors. From these perspectives, Einstein's critical stance towards the quantum theory comes to stand in a new light. This book will be of interest to physicists, historians and philosophers of science.

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.

Stalking the Riemann Hypothesis

Stalking the Riemann Hypothesis PDF Author: Dan Rockmore
Publisher: Vintage
ISBN: 0375727728
Category : Mathematics
Languages : en
Pages : 306

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Book Description
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.

From Riemann to Differential Geometry and Relativity

From Riemann to Differential Geometry and Relativity PDF Author: Lizhen Ji
Publisher: Springer
ISBN: 3319600397
Category : Mathematics
Languages : en
Pages : 647

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Book Description
This book explores the work of Bernhard Riemann and its impact on mathematics, philosophy and physics. It features contributions from a range of fields, historical expositions, and selected research articles that were motivated by Riemann’s ideas and demonstrate their timelessness. The editors are convinced of the tremendous value of going into Riemann’s work in depth, investigating his original ideas, integrating them into a broader perspective, and establishing ties with modern science and philosophy. Accordingly, the contributors to this volume are mathematicians, physicists, philosophers and historians of science. The book offers a unique resource for students and researchers in the fields of mathematics, physics and philosophy, historians of science, and more generally to a wide range of readers interested in the history of ideas.