Functorial Semiotics For Creativity In Music And Mathematics
DOWNLOAD
Download Functorial Semiotics For Creativity In Music And Mathematics PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Functorial Semiotics For Creativity In Music And Mathematics book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages. If the content not found or just blank you must refresh this page
Functorial Semiotics For Creativity In Music And Mathematics
DOWNLOAD
Author : Guerino Mazzola
language : en
Publisher: Springer Nature
Release Date : 2022-04-23
Functorial Semiotics For Creativity In Music And Mathematics written by Guerino Mazzola and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-04-23 with Mathematics categories.
This book presents a new semiotic theory based upon category theory and applying to a classification of creativity in music and mathematics. It is the first functorial approach to mathematical semiotics that can be applied to AI implementations for creativity by using topos theory and its applications to music theory. Of particular interest is the generalized Yoneda embedding in the bidual of the category of categories (Lawvere) - parametrizing semiotic units - enabling a Čech cohomology of manifolds of semiotic entities. It opens up a conceptual mathematics as initiated by Grothendieck and Galois and allows a precise description of musical and mathematical creativity, including a classification thereof in three types. This approach is new, as it connects topos theory, semiotics, creativity theory, and AI objectives for a missing link to HI (Human Intelligence). The reader can apply creativity research using our classification, cohomology theory, generalized Yoneda embedding, and Java implementation of the presented functorial display of semiotics, especially generalizing the Hjelmslev architecture. The intended audience are academic, industrial, and artistic researchers in creativity.
Quantum Mechanics And Avant Garde Music
DOWNLOAD
Author : Rakhat-Bi Abdyssagin
language : en
Publisher: Springer Nature
Release Date : 2024-09-23
Quantum Mechanics And Avant Garde Music written by Rakhat-Bi Abdyssagin and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-09-23 with Music categories.
"Fascinating details and anecdotes accompany this engaging account of the emergence of dramatic new ideas and forms in music over the centuries..." David Politzer, winner of the 2004 Nobel Prize in Physics. "A thought-provoking, stimulating, and highly original exploration of deep metaphorical links between music and physics...Highly recommended." Prof. Ian Stewart FRS, author, What’s the Use? "An astonishing book!" Tristan Murail, composer and co-creator of the "spectral" technique. Have you ever wondered about the connection between Pauli's exclusion principle and Schoenberg's dodecaphony? Or the symphonic echoes of Heisenberg's uncertainty principle in the compositions of Stockhausen and Cage? This book not only poses these questions but skillfully uncovers the artistic answers, exploring interdisciplinary connections that bridge the gap between modern physics and contemporary music. Dive into philosophical discourses on time, witness the metamorphosis of Boolean algebra, bits, and qubits into musical notation, and discover the limitations of the 12-tone scale mirrored in the speed of light. The author's unique methodology offers a fresh perspective, linking the language of mathematics and physics to the creation of musical scores. This book transcends the boundaries of physics and music, revealing the inevitable fusion of modern physics and avant-garde music in the twentieth century. Through meticulous research, the author showcases the profound impact of revolutionary ideas such as quantum physics and relativity on all aspects of life and demonstrates that modern physics and contemporary music were born not out of chance—their emergence and development were inevitable events. Delving into the historical accounts, he explores the musical endeavors of great physicists like Max Planck and Albert Einstein, unraveling the quantum entanglement of physics mirrored in the extended techniques of contemporary music and unveiling the musical universe of Werner Heisenberg through captivating personal encounters with his descendants. Crafted for general readers and seasoned experts alike, the book maintains clarity and style, ensuring accessibility without sacrificing depth. This pioneering exploration not only draws connections between modern physics and music but also serves as a unique bridge for scientists, musicians, and the curious general audience. Requiring no formal background in physics or music, the book is a compelling read for those intrigued by the uncharted territories where science and art converge, offering a concise and illuminating journey into the shadows of the void.
Musical Creativity
DOWNLOAD
Author : Guerino Mazzola
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-11-03
Musical Creativity written by Guerino Mazzola and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-11-03 with Computers categories.
This book represents a new approach to musical creativity, dealing with the semiotics, mathematical principles, and software for creativity processes. After a thorough introduction, the book offers a first practical part with a detailed tutorial for students in composition and improvisation, using musical instruments and music software. The second, theoretical part deals with historical, actual, and new principles of creative processes in music, based on the results and methods developed in the first author’s book Topos of Music and referring to semiotics, predicative objects, topos theory, and object-oriented concept architectures. The third part of the book details four case studies in musical creativity, including an analysis of the six variations of Beethoven's sonata op. 109, a discussion of the creative process in a CD coproduced in 2011 by the first and second authors, a recomposition of Boulez’s "Structures pour deux pianos" using the Rubato software module BigBang developed by the third author, and the Escher theorem from mathematical gesture theory in music. This is both a textbook addressed to undergraduate and graduate students of music composition and improvisation, and also a state-of-the-art survey addressed to researchers in creativity studies and music technology. The book contains summaries and end-of-chapter questions, and the authors have used the book as the main reference to teach an undergraduate creativity studies program and also to teach composition. The text is supported throughout with musical score examples.
Mathematics And Computation In Music
DOWNLOAD
Author : Jason Yust
language : en
Publisher: Springer
Release Date : 2013-06-05
Mathematics And Computation In Music written by Jason Yust and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-05 with Computers categories.
This book constitutes the thoroughly refereed proceedings of the Fourth International Conference on Mathematics and Computation in Music, MCM 2013, held in Montreal, Canada, in June 2013. The 18 papers presented were carefully reviewed and selected from numerous submissions. They are promoting the collaboration and exchange of ideas among researchers in music theory, mathematics, computer science, musicology, cognition and other related fields.
On Musical Self Similarity
DOWNLOAD
Author : Gabriel Pareyón
language : en
Publisher: Gabriel Pareyon
Release Date : 2011
On Musical Self Similarity written by Gabriel Pareyón and has been published by Gabriel Pareyon this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with Music categories.
The Topos Of Music Iv Roots
DOWNLOAD
Author : Guerino Mazzola
language : en
Publisher: Springer
Release Date : 2018-03-29
The Topos Of Music Iv Roots written by Guerino Mazzola and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-03-29 with Mathematics categories.
This is the fourth volume of the second edition of the now classic book “The Topos of Music”. The author presents appendices with background material on sound and auditory physiology; mathematical basics such as sets, relations, transformations, algebraic geometry, and categories; complements in physics, including a discussion on string theory; and tables with chord classes and modulation steps.
Semiotics As A Tool For Learning Mathematics
DOWNLOAD
Author : Adalira Sáenz-Ludlow
language : en
Publisher: Springer
Release Date : 2015-12-17
Semiotics As A Tool For Learning Mathematics written by Adalira Sáenz-Ludlow and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-12-17 with Education categories.
Semiotics as a Tool for Learning Mathematics is a collection of ten theoretical and empirical chapters, from researchers all over the world, who are interested in semiotic notions and their practical uses in mathematics classrooms. Collectively, they present a semiotic contribution to enhance pedagogical aspects both for the teaching of school mathematics and for the preparation of pre-service teachers. This enhancement involves the use of diagrams to visualize implicit or explicit mathematical relations and the use of mathematical discourse to facilitate the emergence of inferential reasoning in the process of argumentation. It will also facilitate the construction of proofs and solutions of mathematical problems as well as the progressive construction of mathematical conceptions that, eventually, will approximate the concept(s) encoded in mathematical symbols. These symbols hinge not only of mental operations but also on indexical and iconic aspects; aspects which often are not taken into account when working on the meaning of mathematical symbols. For such an enhancement to happen, it is necessary to transform basic notions of semiotic theories to make them usable for mathematics education. In addition, it is also necessary to back theoretical claims with empirical data. This anthology attempts to deal with such a conjunction. Overall, this book can be used as a theoretical basis for further semiotic considerations as well as for the design of different ways of teaching mathematical concepts.
Signs Of Signification
DOWNLOAD
Author : Norma Presmeg
language : en
Publisher: Springer
Release Date : 2019-06-04
Signs Of Signification written by Norma Presmeg and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-06-04 with Education categories.
This book discusses a significant area of mathematics education research in the last two decades and presents the types of semiotic theories that are employed in mathematics education. Following on the summary of significant issues presented in the Topical Survey, Semiotics in Mathematics Education, this book not only introduces readers to semiotics as the science of signs, but it also elaborates on issues that were highlighted in the Topical Survey. In addition to an introduction and a closing chapter, it presents 17 chapters based on presentations from Topic Study Group 54 at the ICME-13 (13th International Congress on Mathematical Education). The chapters are divided into four major sections, each of which has a distinct focus. After a brief introduction, each section starts with a chapter or chapters of a theoretical nature, followed by others that highlight the significance and usefulness of the relevant theory in empirical research.
Musical Semiotics In Growth
DOWNLOAD
Author : Eero Tarasti
language : en
Publisher: Indiana University Press
Release Date : 1996
Musical Semiotics In Growth written by Eero Tarasti and has been published by Indiana University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with Literary Criticism & Collections categories.
The international research project on Musical Signification, since its founding over ten years ago, has sought to win new scholars to musical semiotics. To that end, the Department of Musicology at Helsinki University has already organized five international doctoral and postdoctoral seminars. They have become something of a tradition. The anthology consists of papers presented in the three first seminars covering areas from music philosophy and aesthetics to the analysis of vocal and instrumental as well as electro-acoustic music, interrelationships of arts, music history, post-modernism, etc.
Ambiguity And Music
DOWNLOAD
Author : Ján Haluška
language : cs
Publisher:
Release Date : 1999
Ambiguity And Music written by Ján Haluška and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with categories.