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The Topos of Music

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Release : 2012-12-06
Genre : Mathematics
Kind : eBook
Book Rating : 41X/5 ( reviews)

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Book Synopsis The Topos of Music by : Guerino Mazzola

Download or read book The Topos of Music written by Guerino Mazzola. This book was released on 2012-12-06. Available in PDF, EPUB and Kindle. Book excerpt: With contributions by numerous experts

The Topos of Music I: Theory

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Release : 2018-03-28
Genre : Mathematics
Kind : eBook
Book Rating : 649/5 ( reviews)

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Book Synopsis The Topos of Music I: Theory by : Guerino Mazzola

Download or read book The Topos of Music I: Theory written by Guerino Mazzola. This book was released on 2018-03-28. Available in PDF, EPUB and Kindle. Book excerpt: This is the first volume of the second edition of the now classic book “The Topos of Music”. The author explains the theory's conceptual framework of denotators and forms, the classification of local and global musical objects, the mathematical models of harmony and counterpoint, and topologies for rhythm and motives.

Musical Creativity

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Release : 2011-11-03
Genre : Computers
Kind : eBook
Book Rating : 17X/5 ( reviews)

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Book Synopsis Musical Creativity by : Guerino Mazzola

Download or read book Musical Creativity written by Guerino Mazzola. This book was released on 2011-11-03. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Toposes and Local Set Theories

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Release : 2008-01-01
Genre : Mathematics
Kind : eBook
Book Rating : 862/5 ( reviews)

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Book Synopsis Toposes and Local Set Theories by : John L. Bell

Download or read book Toposes and Local Set Theories written by John L. Bell. This book was released on 2008-01-01. Available in PDF, EPUB and Kindle. Book excerpt: This text introduces topos theory, a development in category theory that unites important but seemingly diverse notions from algebraic geometry, set theory, and intuitionistic logic. Topics include local set theories, fundamental properties of toposes, sheaves, local-valued sets, and natural and real numbers in local set theories. 1988 edition.

Higher Topos Theory

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Release : 2009-07-26
Genre : Mathematics
Kind : eBook
Book Rating : 480/5 ( reviews)

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Book Synopsis Higher Topos Theory by : Jacob Lurie

Download or read book Higher Topos Theory written by Jacob Lurie. This book was released on 2009-07-26. Available in PDF, EPUB and Kindle. Book excerpt: In 'Higher Topos Theory', Jacob Lurie presents the foundations of this theory using the language of weak Kan complexes introduced by Boardman and Vogt, and shows how existing theorems in algebraic topology can be reformulated and generalized in the theory's new language.

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