Cool Math for Hot Music: A First Introduction to Mathematics for Music Theorists (Computational Music Science) by Guerino Mazzola (PDF)

Description

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.

User’s Reviews

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐Finished a 1st pass at reading. Nice applications of math to music. The end of Chapter 19 has clock faces for some important chords. Chapter 21 uses the 3rds torus. Chapter 22 is an interesting analysis of John Coltrane’s “Giant Steps”. However some flawed math and references. The Chapter 3 purported axioms for ZFC are actually flawed axioms for ZC-. But ZC- is more than enough for the Chapter 5 topos of sets. For correct axioms for ZFC and ZC- see Kenneth Kunen, “The Foundations of Mathematics”, 2009, 2012. For more perspective on references, see Tom Johnson, “Other Harmony”, 2014. Starting to read the more recent and more mathematical Guerino Mazzola, “The Topos of Music I”, 2018.

⭐This is a companion review to the author’s previous best seller (a difficult read), the classic Topos of Music. Mazzola pioneered not only math/music theory via category theory in Topos, but also put together far advanced for the time computational music compositions using the IT technologies of the time. In the past 15 years, both software and hardware (eg synth circuits) have undergone dramatic growth and improvement, more so than the softer “cognitive” understanding of music also contained in Topos.What Mazzola has actually done is split the math and computational music into this new book and the cognitive and semiotic work into a separate volume (https://www.amazon.com/All-About-Music-Communication-Computational-ebook/dp/B01N0M3A48/ref=sr_1_1?ie=UTF8&qid=1485102559&sr=8-1&keywords=mazzola+semiotics+music), adding a third volume (in 2012) from Topos’ original wealth on composing and improv (https://www.amazon.com/Musical-Creativity-Composition-Improvisation-Computational/dp/3642245161/ref=sr_1_2?ie=UTF8&qid=1485102559&sr=8-2&keywords=mazzola+semiotics+music). Unfortunately these are all at “Springer” prices, but Cool Math is in reality a bargain compared to the difficult to read/study, expensive and dated Topos, despite its historical value. Mazzola puts his talent where his mouth is: many of his computational compositions are award winners, and some have been indistinguishable from human composition by expert panels, the touchstone for true AI.

⭐

⭐

⭐

Keywords

Free Download Cool Math for Hot Music: A First Introduction to Mathematics for Music Theorists (Computational Music Science) in PDF format
Cool Math for Hot Music: A First Introduction to Mathematics for Music Theorists (Computational Music Science) PDF Free Download
Download Cool Math for Hot Music: A First Introduction to Mathematics for Music Theorists (Computational Music Science) 2016 PDF Free
Cool Math for Hot Music: A First Introduction to Mathematics for Music Theorists (Computational Music Science) 2016 PDF Free Download
Download Cool Math for Hot Music: A First Introduction to Mathematics for Music Theorists (Computational Music Science) PDF
Free Download Ebook Cool Math for Hot Music: A First Introduction to Mathematics for Music Theorists (Computational Music Science)