The Topos of Music: Geometric Logic of Concepts, Theory, and Performance (3764357312)

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Guerino Mazzola ""

The Topos of Music is the upgraded and vastly deepened English extension of the seminal German Geometrie der Töne. It reflects the dramatic progress of mathematical music theory and its operationalization by information technology since the publication of Geometrie der Töne in 1990. The conceptual basis has been vastly generalized to topos-theoretic foundations, including a corresponding thoroughly geometric musical logic. The theoretical models and results now include topologies for rhythm, melody, and harmony, as well as a classification theory of musical objects that comprises the topos-theoretic concept framework. Classification also implies techniques of algebraic moduli theory. The classical models of modulation and counterpoint have been extended to exotic scales and counterpoint interval dichotomies.

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	Study Higher Topos Theory (AM-170) (Annals of Mathematics Studies) Jacob Lurie "Higher Topos Theory (AM-170) (Annals of Mathematics Studies)"Princeton University Press \| English \| 2009-07-16 \| ISBN: 0691140499 \| 960 pages \| PDF \| 3,6 MBHigher category theory is generally regarded as technical and forbiddin ...
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	Study Higher Topos Theory (AM-170) (Annals of Mathematics Studies) Jacob Lurie "Higher Topos Theory (AM-170) (Annals of Mathematics Studies)"Princeton University Press \| English \| 2009-07-16 \| ISBN: 0691140499 \| 960 pages \| PDF \| 3,6 MBHigher category theory is generally regarded as technical and forbiddin ...
	Science/Engineering Sketches of an Elephant: A Topos Theory Compendium (2 Volume Set) Peter T. Johnstone, "Sketches of an Elephant: A Topos Theory Compendium (2 Volume Set)" Oxford University Press, USA \| 2003 \| ISBN: 019852496X \| 1284 pages \| Djvu \| 7,7 MB Topos Theory is a subject that stands at the junction of geomet ...
	Science/Engineering Sheaves in geometry and logic: A first introduction to topos theory Sheaves in geometry and logic: A first introduction to topos theorySpringer \| October 24, 2007 \| ISBN-10: 0387977104 \| 629 pages \| PDF \| 4.65 mbThis book is an introduction to the theory of toposes, as first developed by Grothendieck and la ...
	Science/Engineering The Concepts and Logic of Classical Thermodynamics as a Theory of Heat Engines Truesdell C., Bharatha S., "The Concepts and Logic of Classical Thermodynamics as a Theory of Heat Engines" Springer \| 2009 \| ISBN: 0387079718 \| 154 pages \| Djvu \| 1,5 MB depositfiles.com uploading.com mirror My blog on AH Not a ...
	Mathematics Sketches of an Elephant: A Topos Theory Compendium 2 Volume Set (Oxford Logic Guides, 43 & 44) Author: Peter T. JohnstonePublisher: Oxford University Press, USA (July 17, 2003)Publish Date: 2003Pages: 1284I myself would like to buy this book. However, it is very costly (~USD400-500) and I doubt any student can afford!Description: Top ...
	Mathematics Topos Theory (London Mathematical Society Monographs, 10)

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