The Topos of Music: Geometric Logic of Concepts, Theory, and Performance (英語) 【本書の特徴】 Topos of Music is an extensive and elaborate body of mathematical investigations into music and involves several and ontologically different levels of musical description. Albeit the author Guerino Mazzola lists 17 contributors and 2 collaborators, the book should be characterized as a monograph. Large portions of the content represent original research of Mazzola himself, and the material from other work is exposed from Mazzolas point of view and is well referenced. The preface preintimates an intended double meaning of the term topos in the title. On the one hand, it provides a mathematical anchor, which is programmatic for the entire approach: the concept of a cartesian closed category with a subobject classifier.
The Topos of Music: Geometric Logic of Concepts, Theory, and Performance (英語)
【本書の特徴】
Topos of Music is an extensive and elaborate body of mathematical investigations into music and involves several and ontologically different levels of musical description. Albeit the author Guerino Mazzola lists 17 contributors and 2 collaborators, the book should be characterized as a monograph. Large portions of the content represent original research of Mazzola himself, and the material from other work is exposed from Mazzolas point of view and is well referenced. The preface preintimates an intended double meaning of the term topos in the title. On the one hand, it provides a mathematical anchor, which is programmatic for the entire approach: the concept of a cartesian closed category with a subobject classifier.
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