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MMM – Memos on Math/Music: This site lists memos on music and math by the site owner.

The music will be listed as mp3 files. Those files have a portrait of the composer as an eye-catcher:
e.g., J. S. Bach’s music on periodic instrumentation has the following portrait,

whereas modern interpretation of J.S. Bach’s music has the following portrait.

Many thanks from the site owner to MuseScore https://musescore.com/ without which he can never create mp3 files.
The math will be listed as PDF files. Some of them are typed using conventional word processors, and others are in LaTeX. Those files have “Girl with a Pearl Earring” by Johannes Vermeer as an eye-catcher: see below.

The site owner would like to express his appreciation to his cousin and the spouse (of the cousin) for suggesting that he should set up a site to list his “achievement” so far.
To view the content, click the URL line for each index below.
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Index for the work by J. S. Bach
https://wordpress.com/post/mathmusic52.com/2030
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Index for memo on mathematics
https://wordpress.com/post/mathmusic52.com/2038
Index for the work by D. Scarlatti
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Towers of quadratic extensions of Q

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The Quillen-Suslin Theorem

The Quillen-Suslin Theorem was conjectured by J.-P Serre (see F.A.C) and proved (independently) by D. Quillen and A. A. Suslin.
There are several treatments on this theorem, namely Algebra by Serge Lang, A course in ring theory by D. Passman, and Serre’s problem on projective modules by T. Y. Lam.
Here I quote an account by A, Mathew.
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Jacobson’s theorem on the commutativity of rings: case x^3 = x

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BWV 1035 : J. S. Bach, “Flute Sonata” in E major

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BWV 1034 : J. S. Bach, “Flute Sonata” in E minor

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BWV 1032 : J. S. Bach, “Flute Sonata” in A major

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BWV 1030 : J. S. Bach, “Flute Sonata” in B minor

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A study memo on Chapters 0-3 of “Stable Homotopy”, J. M. Cohen

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A study memo on “First course in topology” by Fuks-Rokhlin

The following is a study memo by the site owner on
ВА.Рохлин, Д.Б. Фукс
НАЧАЛЬНЫЙ КУРС ТОПОЛОГИИ
ГЕОМЕТРИЧЕСКИЕ ГЛАВЫ
ИЗДАТЕЛЬСТВО «НАУКА» Москва 1977For readers’ convenience, here is the original Russian edition.
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BWV 1019: J. S. Bach “Violin Sonata” in G major
