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.

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.

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.

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

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 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

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.

An analytical study of Elgar's music and its place in European musical history.

Shedding new light on Einstein's study of unified field theory, this book will interest physicists, historians and philosophers of science.

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.