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This book presents a deep spectrum of musical, mathematical, physical, and philosophical perspectives that have emerged in this field at the intersection of music and mathematics. In particular the contributed chapters introduce advanced techniques and concepts from modern mathematics and physics, deriving from successes in domains such as Topos theory and physical string theory. The authors include many of the leading researchers in this domain, and the book will be of value to researchers working in computational music, particularly in the areas of counterpoint, gesture, and Topos theory.
This book examines emblems (or emblematic gestures) from a pragmatic view, that is to say, as autonomous gestures that fulfill communicative functions, embody illocutionary values, and act as signals of cognitive relevance. Emblems are conceived as multimodal tools on the frontier between verbal and nonverbal modes, and are part of the communicative repertoire of individuals and sociocultural groups. Emblems constitute clear cases of embodiment and are susceptible to many processes of metaphorization (contrasting or not with verbal metaphors), metonymy, and interference between modalities. The applications of emblematic analysis are numerous, from lexicography to second language learning, or to natural language processing.
Geographers is an annual collection of studies on individuals who have made major contributions to the development of geography and geographical thought. Subjects are drawn from all periods and from all parts of the world, and include famous names as well as those less well known, including explorers, independent thinkers and scholars. Each paper describes the geographer's education, life and work and discusses their influence and spread of academic ideas. Each study includes a select bibliography and a brief chronology. The work includes a general index, and a cumulative index of geographers listed in volumes published to date. Published under the auspices of the International Geographical Union.
Auslander made contributions to many parts of algebra, and this 2-volume set (the set ISBN is 0-8218-0679-3, already published) contains a selection of his main work.
Proceedings of a Conference held at the University of Western Ontario in 1981. More than one hundred papers were presented by researchers from a wide spectrum of countries and institutions.
This book explains the state of the art in the use of the discrete Fourier transform (DFT) of musical structures such as rhythms or scales. In particular the author explains the DFT of pitch-class distributions, homometry and the phase retrieval problem, nil Fourier coefficients and tilings, saliency, extrapolation to the continuous Fourier transform and continuous spaces, and the meaning of the phases of Fourier coefficients. This is the first textbook dedicated to this subject, and with supporting examples and exercises this is suitable for researchers and advanced undergraduate and graduate students of music, computer science and engineering. The author has made online supplementary material available, and the book is also suitable for practitioners who want to learn about techniques for understanding musical notions and who want to gain musical insights into mathematical problems.
This volume highlights the links between model theory and algebra. The work contains a definitive account of algebraically compact modules, a topic of central importance for both module and model theory. Using concrete examples, particular emphasis is given to model theoretic concepts, such as axiomizability. Pure mathematicians, especially algebraists, ring theorists, logicians, model theorists and representation theorists, should find this an absorbing and stimulating book.
This handbook offers a compilation of techniques and results in K-theory. Each chapter is dedicated to a specific topic and is written by a leading expert. Many chapters present historical background; some present previously unpublished results, whereas some present the first expository account of a topic; many discuss future directions as well as open problems. It offers an exposition of our current state of knowledge as well as an implicit blueprint for future research.
From the gospel music of slavery in the antebellum South to anti-apartheid freedom songs in South Africa, this two-volume work documents how music has fueled resistance and revolutionary movements in the United States and worldwide. Political resistance movements and the creation of music—two seemingly unrelated phenomenon—often result from the seed of powerful emotions, opinions, or experiences. This two-volume set presents essays that explore the connections between diverse musical forms and political activism across the globe, revealing fascinating similarities regarding the interrelationship between music and political resistance in widely different geographic or cultural circumstanc...