Cool Math for Hot Music: A First Introduction to Mathematics for Music Theorists (Computational Music Science)
暫譯: 酷炫數學與熱情音樂:音樂理論家的數學入門(計算音樂科學)

Guerino Mazzola, Maria Mannone, Yan Pang

  • 出版商: Springer
  • 出版日期: 2018-04-22
  • 售價: $3,050
  • 貴賓價: 9.5$2,898
  • 語言: 英文
  • 頁數: 323
  • 裝訂: Paperback
  • ISBN: 3319826980
  • ISBN-13: 9783319826981
  • 海外代購書籍(需單獨結帳)

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商品描述

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.

商品描述(中文翻譯)

這本教科書是音樂理論家數學的初步介紹,涵蓋基本主題,如集合與函數、普遍性質、數字與遞歸、圖形、群、環、矩陣與模、連續性、微積分以及手勢。它以一種新的方式來探討這些抽象主題:每個概念或定理都通過音樂理論(如和聲、對位法、調音)、作曲(例如,古典組合數學、十二音作曲)和手勢表演的例子來激發和說明。這本書包含許多插圖和附有解答的練習題。