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Titlebook: Cool Math for Hot Music; A First Introduction Guerino Mazzola,Maria Mannone,Yan Pang Textbook 2016 Springer International Publishing Switze

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樓主
發(fā)表于 2025-3-21 16:40:05 | 只看該作者 |倒序瀏覽 |閱讀模式
書目名稱Cool Math for Hot Music
副標題A First Introduction
編輯Guerino Mazzola,Maria Mannone,Yan Pang
視頻videohttp://file.papertrans.cn/238/237885/237885.mp4
概述Based on authors‘ experience teaching mathematics to music theorists.Presents ideas in a critical manner, highlighting problems with earlier teaching approaches.Includes many illustrations and exercis
叢書名稱Computational Music Science
圖書封面Titlebook: Cool Math for Hot Music; A First Introduction Guerino Mazzola,Maria Mannone,Yan Pang Textbook 2016 Springer International Publishing Switze
描述.This textbook is a first introduction to mathematics for music theorists, covering basic topics such as sets and functions, universal properties, numbers and recursion, graphs, groups, rings, matrices and modules, continuity, calculus, and gestures. It approaches these abstract themes in a new way: Every concept or theorem is motivated and illustrated by examples from music theory (such as harmony, counterpoint, tuning), composition (e.g., classical combinatorics, dodecaphonic composition), and gestural performance. The?book includes many illustrations, and exercises with solutions..
出版日期Textbook 2016
關鍵詞Counterpoint; Gestures; Harmony; Melody; Music Theory; Rhythm; Rubato
版次1
doihttps://doi.org/10.1007/978-3-319-42937-3
isbn_softcover978-3-319-82698-1
isbn_ebook978-3-319-42937-3Series ISSN 1868-0305 Series E-ISSN 1868-0313
issn_series 1868-0305
copyrightSpringer International Publishing Switzerland 2016
The information of publication is updating

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沙發(fā)
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板凳
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1868-0305 as harmony, counterpoint, tuning), composition (e.g., classical combinatorics, dodecaphonic composition), and gestural performance. The?book includes many illustrations, and exercises with solutions..978-3-319-82698-1978-3-319-42937-3Series ISSN 1868-0305 Series E-ISSN 1868-0313
地板
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發(fā)表于 2025-3-22 12:26:39 | 只看該作者
Universal Propertiesing arrows. We also introduce exponentials and subobject classifiers. These concepts are broadly used in modern mathematics, because they describe constructions that appear everywhere in mathematical creativity.
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發(fā)表于 2025-3-22 15:01:48 | 只看該作者
Recursionposed to be defined, and we use the concept for . to define the concept for .+1. Therefore, it is defined for all natural numbers .. This is the idea of recursion, namely the definition by induction. We will prove that this mathematical process is possible. We then apply recursion to create musical
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發(fā)表于 2025-3-22 23:32:50 | 只看該作者
Real Numbersor . = .. But there are many other equations, especially dealing with approximations in music theory, that cannot be solved with Z or Q. In this chapter we apply the above philosophy to find solutions of such problems, namely the real numbers.
9#
發(fā)表于 2025-3-23 04:03:50 | 只看該作者
Guerino Mazzola,Maria Mannone,Yan PangBased on authors‘ experience teaching mathematics to music theorists.Presents ideas in a critical manner, highlighting problems with earlier teaching approaches.Includes many illustrations and exercis
10#
發(fā)表于 2025-3-23 07:49:40 | 只看該作者
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