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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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A study memo on “Cohomology Theories” by E. Dyer
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“Morse Theory”: M. M. Postnikov, translated by the site owner
Currently available: Chapters 1, 2 and 3 — Watch how it grows.
For the readers’ convenience, here is the original Russian textbook.
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A study memo on “Homotopietheorie” by tom-Dieck, Kamps and Puppe
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“Homotopy Theory of Cellular Spaces” by M. M. Postnikov: translated by the site owner
For the reader’s convenience, here is the original Russian textbook.
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Index: Music by D. Scarlatti
Index for the work by D. Scarlatti
K 1 : Sonata in D minor
https://wordpress.com/post/mathmusic52.com/1629
K 2 : Sonata in G major
https://wordpress.com/post/mathmusic52.com/1615
K 3 : Sonata in A minor
https://wordpress.com/post/mathmusic52.com/1662
K 4 : Sonata in G minor
https://wordpress.com/post/mathmusic52.com/1678
K 5 : Sonata in D minor
https://wordpress.com/post/mathmusic52.com/1684
K 6 : Sonata in F major
https://wordpress.com/post/mathmusic52.com/1690
K 7 : Sonata in A minor
https://wordpress.com/post/mathmusic52.com/1694
K 8 : Sonata in G minor
https://wordpress.com/post/mathmusic52.com/1700
K 9 : Sonata in D minor
https://wordpress.com/post/mathmusic52.com/231
K 10 : Sonata in D minor
https://wordpress.com/post/mathmusic52.com/1711
K 11 : Sonata in C minor
https://wordpress.com/post/mathmusic52.com/1716
K 12 : Sonata in G minor
https://wordpress.com/post/mathmusic52.com/1721
K 13 : Sonata in G major
https://wordpress.com/post/mathmusic52.com/1726
K 14 : Sonata in G major
https://wordpress.com/post/mathmusic52.com/1732
K 15 : Sonata in E minor
https://wordpress.com/post/mathmusic52.com/1738
K 16 : Sonata in B flat major
https://wordpress.com/post/mathmusic52.com/1787
K 17 : Sonata in F major
https://wordpress.com/post/mathmusic52.com/1792
K 18 : Sonata in E minor
https://wordpress.com/post/mathmusic52.com/1797
K 19 : Sonata in F minor
https://wordpress.com/post/mathmusic52.com/1801
K 20 : Sonata in E major
https://wordpress.com/post/mathmusic52.com/1805
K 466 : Sonata in F minor
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Index: Memo on Math
Index for math memoranda
I. General
An anti-recommendation list of math books for beginners
https://wordpress.com/post/mathmusic52.com/436
A quiz in elementary geometry
https://wordpress.com/post/mathmusic52.com/506
II. Algebra
A study memo on algebra
https://wordpress.com/post/mathmusic52.com/57
The Galois group of the field of real numbers
https://wordpress.com/post/mathmusic52.com/321
A detailed proof of the correspondence theorem
https://wordpress.com/post/mathmusic52.com/352
On SL (2, Z) and SL (2, Z / NZ)
https://wordpress.com/post/mathmusic52.com/374
Groups of order p2
https://wordpress.com/post/mathmusic52.com/406
An interesting property of prime numbers greater than or equal to 5
https://wordpress.com/post/mathmusic52.com/303
Finite groups with at most one subgroup of any order are cyclic.
https://wordpress.com/post/mathmusic52.com/629
The subgroup structure of dihedral groups
https://wordpress.com/post/mathmusic52.com/649
Ext and Tor for Z/mZ and Z/nZ
https://wordpress.com/post/mathmusic52.com/661
On factorisation in R [X, Y] / (X2 + Y2 – 1) and C [X, Y] / (X2 + Y2 – 1)
https://wordpress.com/post/mathmusic52.com/684
Determination of Spec Z[X]
https://wordpress.com/post/mathmusic52.com/706
Projective vs flat
https://wordpress.com/post/mathmusic52.com/757
On some factor ring of a polynomial ring over Z
https://wordpress.com/post/mathmusic52.com/800
The Eckmann-Hilton argument
https://wordpress.com/post/mathmusic52.com/819
The Galois group of an infinite Galois extension has a non-closed subgroup.
https://wordpress.com/post/mathmusic52.com/943
Jacobson’s theorem on the commutativity of rings: case x3 = x
https://wordpress.com/post/mathmusic52.com/1470
The Quillen-Suslin Theorem
https://wordpress.com/post/mathmusic52.com/1474
Towers of quadratic extensions of Q
https://wordpress.com/post/mathmusic52.com/1478
Study memo on “Théorie algébrique des nombres”
https://wordpress.com/post/mathmusic52.com/1550
Introduction to Abelian Categories
https://wordpress.com/post/mathmusic52.com/1587
Introduction to Homological Algebra
https://wordpress.com/post/mathmusic52.com/1598
Chapters1-6 of “Galois Theory”
https://wordpress.com/post/mathmusic52.com/1606
Nullstellensatz
https://wordpress.com/post/mathmusic52.com/1623
Subrings of Q
https://wordpress.com/post/mathmusic52.com/1638
Artinian modules and exact sequences
https://wordpress.com/post/mathmusic52.com/1643
Normal groups are not “transitive”.
https://wordpress.com/post/mathmusic52.com/1649
A “visual” proof of Snake Lemma
https://wordpress.com/post/mathmusic52.com/1670
Representation of Finite Groups
Work in progress: Representation of Finite Groups + Algebra for Representation Theory
III. Topology/Geometry
Some remarks on general topology
https://wordpress.com/post/mathmusic52.com/118
Differential Topology, J. W. Milnor
https://wordpress.com/post/mathmusic52.com/32
Lectures on Characteristic Classes, J. W. Milnor
https://wordpress.com/post/mathmusic52.com/38
LE THÉORÈME DU h-COBORDISME (SMALE), Jean CERF et André GRAMAIN
https://wordpress.com/post/mathmusic52.com/49
A study memo on “First course in topology” by Fuks-Rokhlin
https://wordpress.com/post/mathmusic52.com/1342
A study memo on Chapters 0-3 of “Stable Homotopy”, J. M. Cohen
https://wordpress.com/post/mathmusic52.com/1364
A study memo on Chapters 1-4 of “K-Theory”
https://wordpress.com/post/mathmusic52.com/1528
Table of contents + Appendix for “Notes on Cobordism Theory”
https://wordpress.com/post/mathmusic52.com/1542
A study memo on Chapters 0-6 of “Sheaf Theory”
https://wordpress.com/post/mathmusic52.com/1564
Complex n-manifolds are orientable.
https://wordpress.com/post/mathmusic52.com/1574
Chapters 1-4 of “Differential Geometry”
https://wordpress.com/post/mathmusic52.com/1654
Homotopy theory : unfinished notes
https://wordpress.com/post/mathmusic52.com/1818
Singular homology theory
https://wordpress.com/post/mathmusic52.com/2022
“An Introduction to Topology” by E. C. Zeeman
https://wordpress.com/post/mathmusic52.com/1837
“Differential Topology” and “Differential Group Actions” by C. T. C. Wall
https://wordpress.com/post/mathmusic52.com/1843
“Weak Equivalences and Quasifibrations” by J. P. May : LaTeXed
https://wordpress.com/post/mathmusic52.com/1854
“Basic Homotopy Theory” by M. M. Postnikov
“Basic Homotopy Theory” by M. M. Postnikov, translated by the site owner
Acyclic models: unfinished notes.
https://wordpress.com/post/mathmusic52.com/1903
Study memo for “Introduction to differential topology” by Brocker-Janich
https://wordpress.com/post/mathmusic52.com/1910
“Homotopy Theory of Cellular Spaces” by M. M. Postnikov
https://wordpress.com/post/mathmusic52.com/2174
“Morse Theory” by M. M. Postnikov
A study memo on “Cohomology Theories” by E. Dyer
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Index: Music by J. S. Bach
Index for the work by J. S. Bach
BWV 243a : Magnificat in E-flat major
https://wordpress.com/post/mathmusic52.com/139
BWV 539 : Toccata and Fugue in D minor
https://wordpress.com/post/mathmusic52.com/1558
BWV 565 : Toccata and Fugue in D minor
https://wordpress.com/post/mathmusic52.com/239
BWV 578 : Fugue in G minor
https://wordpress.com/post/mathmusic52.com/1228
BWV 772 : Invention I in C major https://wordpress.com/post/mathmusic52.com/1019
BWV 773 : Invention II in C minor
https://wordpress.com/post/mathmusic52.com/1025
BWV 774 : Invention III in D major
https://wordpress.com/post/mathmusic52.com/1036
BWV 775 : Invention IV in D minor
https://wordpress.com/post/mathmusic52.com/1042
BWV 776 : Invention V in E-flat major
https://wordpress.com/post/mathmusic52.com/1047
BWV 777 : Invention VI in E major
https://wordpress.com/post/mathmusic52.com/1052
BWV 778 : Invention VII in E major
https://wordpress.com/post/mathmusic52.com/1058
BWV 779 : Invention VIII in F major
https://wordpress.com/post/mathmusic52.com/1065
BWV 780 : Invention IX in F minor
https://wordpress.com/post/mathmusic52.com/1070
BWV 781 : Invention X in G major
https://wordpress.com/post/mathmusic52.com/1075
BWV 782 : Invention XI in G minor
https://wordpress.com/post/mathmusic52.com/1080
BWV 783: Invention XII in A major
https://wordpress.com/post/mathmusic52.com/1085
BWV 784 : Invention XIII in G minor
https://wordpress.com/post/mathmusic52.com/1091
BWV 785: Invention XIV in B-flat major
https://wordpress.com/post/mathmusic52.com/1102
BWV 786 : Invention XV in B minor
https://wordpress.com/post/mathmusic52.com/1110
BWV 787 : Sinfonia I in C major https://wordpress.com/post/mathmusic52.com/1019
BWV 788 : Sinfonia II in C minor
https://wordpress.com/post/mathmusic52.com/1025
BWV 789 : Sinfonia III in D major
https://wordpress.com/post/mathmusic52.com/1036
BWV 790 : Sinfonia IV in D minor
https://wordpress.com/post/mathmusic52.com/1042
BWV 791 : Sinfonia V in E-flat major
https://wordpress.com/post/mathmusic52.com/1047
BWV 792 : Sinfonia VI in E major
https://wordpress.com/post/mathmusic52.com/1052
BWV 793 : Sinfonia VII in E major
https://wordpress.com/post/mathmusic52.com/1058
BWV 794 : Sinfonia VIII in F major
https://wordpress.com/post/mathmusic52.com/1065
BWV 795 : Sinfonia IX in F minor
https://wordpress.com/post/mathmusic52.com/1070
BWV 796 : Sinfonia X in G major
https://wordpress.com/post/mathmusic52.com/1075
BWV 797 : Sinfonia XI in G minor
https://wordpress.com/post/mathmusic52.com/1080
BWV 798: Sinfonia XII in A major
https://wordpress.com/post/mathmusic52.com/1085
BWV 799 : Sinfonia XIII in G minor
https://wordpress.com/post/mathmusic52.com/1091
BWV 800: Sinfonia XIV in B-flat major
https://wordpress.com/post/mathmusic52.com/1102
BWV 801 : Sinfonia XV in B minor
https://wordpress.com/post/mathmusic52.com/1110
BWV 806 : English Suite I in A major
https://wordpress.com/post/mathmusic52.com/939
BWV 807 : English Suite II in A minor
https://wordpress.com/post/mathmusic52.com/935
BWV 808 : English Suite III in A minor
https://wordpress.com/post/mathmusic52.com/947
BWV 809 : English Suite IV in F major
https://wordpress.com/post/mathmusic52.com/956
BWV 810 : English Suite V in E minor
https://wordpress.com/post/mathmusic52.com/959
BWV 811 : English Suite VI in D minor
https://wordpress.com/post/mathmusic52.com/963
BWV 812 : French Suite I in D minor
https://wordpress.com/post/mathmusic52.com/995
BWV 813 : French Suite II in C minor
https://wordpress.com/post/mathmusic52.com/1000
BWV 814 : French Suite III in B minor
https://wordpress.com/post/mathmusic52.com/1004
BWV 815 : French Suite IV in E-flat major
https://wordpress.com/post/mathmusic52.com/1008
BWV 816 : French Suite V in G major
https://wordpress.com/post/mathmusic52.com/1011
BWV 817 : French Suite VI in E major
https://wordpress.com/post/mathmusic52.com/1015
BWV 825 : Partita I in B-flat major
https://wordpress.com/post/mathmusic52.com/967
BWV 826 : Partita II in C minor
https://wordpress.com/post/mathmusic52.com/971
BWV 827 : Partita III in A minor
https://wordpress.com/post/mathmusic52.com/975
BWV 828 : Partita IV in D major
https://wordpress.com/post/mathmusic52.com/979
BWV 829 : Partita V in G major
https://wordpress.com/post/mathmusic52.com/987
BWV 830 : Partita VI in E minor
https://wordpress.com/post/mathmusic52.com/991
BWV 846 : Prelude and Fugue in C major, The Well-Tempered Clavier I-I
https://wordpress.com/post/mathmusic52.com/634
BWV 847 : Prelude and Fugue in C minor, The Well-Tempered Clavier I-II
https://wordpress.com/post/mathmusic52.com/639
BWV 848 : Prelude and Fugue in C# major, The Well-Tempered Clavier I-III
https://wordpress.com/post/mathmusic52.com/644
BWV 849 : Prelude and Fugue in C# minor, The Well-Tempered Clavier I-IV
https://wordpress.com/post/mathmusic52.com/657
BWV 850 : Prelude and Fugue in D major, The Well-Tempered Clavier I-V
https://wordpress.com/post/mathmusic52.com/678
BWV 851 : Prelude and Fugue in D minor, The Well-Tempered Clavier I-VI
https://wordpress.com/post/mathmusic52.com/689
BWV 852 : Prelude and Fugue in E flat major, The Well-Tempered Clavier I-VII
https://wordpress.com/post/mathmusic52.com/693
BWV 853 : Prelude and Fugue in E flat minor, The Well-Tempered Clavier I-VIII
https://wordpress.com/post/mathmusic52.com/698
BWV 854 : Prelude and Fugue in E major, The Well-Tempered Clavier I-IX
https://wordpress.com/post/mathmusic52.com/711
BWV 855 : Prelude and Fugue in E minor, The Well-Tempered Clavier I-X
https://wordpress.com/post/mathmusic52.com/716
BWV 856 : Prelude and Fugue in F major, The Well-Tempered Clavier I-XI
https://wordpress.com/post/mathmusic52.com/725
BWV 857 : Prelude and Fugue in F minor, The Well-Tempered Clavier I-XII
https://wordpress.com/post/mathmusic52.com/735
BWV 858 : Prelude and Fugue in F-sharp major, The Well-Tempered Clavier I-XIII
https://wordpress.com/post/mathmusic52.com/739
BWV 859 : Prelude and Fugue in F-sharp minor, The Well-Tempered Clavier I-XIV
https://wordpress.com/post/mathmusic52.com/743
BWV 860 : Prelude and Fugue in G major, The Well-Tempered Clavier I-XV
https://wordpress.com/post/mathmusic52.com/747
BWV 861 : Prelude and Fugue in G minor, The Well-temperd Clavier I-XVI
https://wordpress.com/post/mathmusic52.com/752
BWV 862 : Prelude and Fugue in A-flat major, The Well-Tempered Clavier I-XVII
https://wordpress.com/post/mathmusic52.com/762
BWV 863 : Prelude and Fugue in G-sharp minor, The Well-Tempered Clavier I-XVIII
https://wordpress.com/post/mathmusic52.com/766
BWV 864 : Prelude and Fugue in A major, The Well-Tempered Clavier I-XIX
https://wordpress.com/post/mathmusic52.com/772
BWV 865 : Prelude and Fugue in A minor, The Well-Tempered Clavier I-XX
https://wordpress.com/post/mathmusic52.com/777
BWV 866 : Prelude and Fugue in B flat major, The Well-Tempered Clavier I-XXI
https://wordpress.com/post/mathmusic52.com/781
BWV 867 : Prelude and Fugue in B flat minor, The Well-Tempered Clavier I-XXII
https://wordpress.com/post/mathmusic52.com/786
BWV 868 : Prelude and Fugue in B major, The Well-Tempered Clavier I-XXIII
https://wordpress.com/post/mathmusic52.com/790
BWV 869 : Prelude and Fugue in B minor, The Well-Tempered Clavier I-XXIV
https://wordpress.com/post/mathmusic52.com/794
BWV 870 : Prelude and Fugue in C major, The Well-Tempered Clavier II-I
https://wordpress.com/post/mathmusic52.com/804
BWV 871 : Prelude and Fugue in C minor, The Well-Tempered Clavier II-II
https://wordpress.com/post/mathmusic52.com/808
BWV 872 : Prelude and Fugue in C sharp major, The Well-Tempered Clavier II-III
https://wordpress.com/post/mathmusic52.com/812
BWV 873 : Prelude and Fugue in C sharp minor, The Well-Tempered Clavier II-IV
https://wordpress.com/post/mathmusic52.com/816
BWV 874 : Prelude and Fugue in D major, The Well-Tempered Clavier II-V
https://wordpress.com/post/mathmusic52.com/825
BWV 875 : Prelude and Fugue in D minor, The Well-Tempered Clavier II-VI
https://wordpress.com/post/mathmusic52.com/830
BWV 876 : Prelude and Fugue in E flat major, The Well-Tempered Clavier II-VII
https://wordpress.com/post/mathmusic52.com/834
BWV 877 : Prelude and Fugue in D sharp minor, The Well-Tempered Clavier II-VIII
https://wordpress.com/post/mathmusic52.com/839
BWV 878 : Prelude and Fugue in E major, The Well-Tempered Clavier II-IX
https://wordpress.com/post/mathmusic52.com/844
BWV 879 : Prelude and Fugue in E minor, The Well-Tempered Clavier II-X
https://wordpress.com/post/mathmusic52.com/848
BWV 880 : Prelude and Fugue in F major, The Well-Tempered Clavier II-XI
https://wordpress.com/post/mathmusic52.com/852
BWV 881 : Prelude and Fugue in F minor, The Well-Tempered Clavier II-XII
https://wordpress.com/post/mathmusic52.com/856
BWV 882 : Prelude and Fugue in F-sharp major, The Well-Tempered Clavier II-XIII
https://wordpress.com/post/mathmusic52.com/860
BWV 883 : Prelude and Fugue in F-sharp minor, The Well-Tempered Clavier II-XIV
https://wordpress.com/post/mathmusic52.com/721
BWV 884 : Prelude and Fugue in G major, The Well-Tempered Clavier II-XV
https://wordpress.com/post/mathmusic52.com/864
BWV 885 : Prelude and Fugue in G minor, The Well-temperd Clavier II-XVI
https://wordpress.com/post/mathmusic52.com/878
BWV 886 : Prelude and Fugue in A-flat major, The Well-Tempered Clavier II-XVII
https://wordpress.com/post/mathmusic52.com/905
BWV 887 : Prelude and Fugue in G-sharp minor, The Well-Tempered Clavier II-XVIII
https://wordpress.com/post/mathmusic52.com/909
BWV 888 : Prelude and Fugue in A major, The Well-Tempered Clavier II-XIX
https://wordpress.com/post/mathmusic52.com/913
BWV 889 : Prelude and Fugue in A minor, The Well-Tempered Clavier II-XX
https://wordpress.com/post/mathmusic52.com/917
BWV 890 : Prelude and Fugue in B flat major, The Well-Tempered Clavier II-XXI
https://wordpress.com/post/mathmusic52.com/920
BWV 891 : Prelude and Fugue in B flat minor, The Well-Tempered Clavier II-XXII
https://wordpress.com/post/mathmusic52.com/925
BWV 892 : Prelude and Fugue in B major, The Well-Tempered Clavier II-XXIII
https://wordpress.com/post/mathmusic52.com/928
BWV 893 : Prelude and Fugue in B minor, The Well-Tempered Clavier II-XXIV
https://wordpress.com/post/mathmusic52.com/931
BWV 924 : Prelude in C major, from W.F. Bach’s Klavierbüchlein
https://wordpress.com/post/mathmusic52.com/1149
BWV 926 : Prelude in D minor, from W.F. Bach’s Klavierbüchlein
https://wordpress.com/post/mathmusic52.com/1153
BWV 927 : Prelude in F major, from W.F. Bach’s Klavierbüchlein
https://wordpress.com/post/mathmusic52.com/1157
BWV 928 : Prelude in F major, from W.F. Bach’s Klavierbüchlein
https://wordpress.com/post/mathmusic52.com/1163
BWV 929 : Prelude in G minor, from W.F. Bach’s Klavierbüchlein
https://wordpress.com/post/mathmusic52.com/1167
BWV 930 : Prelude in G minor, from W.F. Bach’s Klavierbüchlein
https://wordpress.com/post/mathmusic52.com/1171
BWV 933 : Prelude in C major, from W.F. Bach’s Klavierbüchlein
https://wordpress.com/post/mathmusic52.com/1175
BWV 934 : Prelude in C minor, from W.F. Bach’s Klavierbüchlein
https://wordpress.com/post/mathmusic52.com/1179
BWV 935 : Prelude in D minor, from W.F. Bach’s Klavierbüchlein
https://wordpress.com/post/mathmusic52.com/1183
BWV 936 : Prelude in D major, from W.F. Bach’s Klavierbüchlein
https://wordpress.com/post/mathmusic52.com/1187
BWV 937 : Prelude in E major, from W.F. Bach’s Klavierbüchlein
https://wordpress.com/post/mathmusic52.com/1191
BWV 938 : Prelude in E minor, from W.F. Bach’s Klavierbüchlein
https://wordpress.com/post/mathmusic52.com/1195
BWV 939 : Prelude in C major, from W.F. Bach’s Klavierbüchlein
https://wordpress.com/post/mathmusic52.com/1199
BWV 940 : Prelude in D minor, from W.F. Bach’s Klavierbüchlein
https://wordpress.com/post/mathmusic52.com/1203
BWV 941 Prelude in E minor, from W.F. Bach’s Klavierbüchlein
https://wordpress.com/post/mathmusic52.com/1207
BWV 942 : Prelude in A minor, from W.F. Bach’s Klavierbüchlein
https://wordpress.com/post/mathmusic52.com/1212
BWV 943 : Prelude in C major, from W.F. Bach’s Klavierbüchlein
https://wordpress.com/post/mathmusic52.com/1216
BWV 944 : Fantasia and Fugue in A minor
https://wordpress.com/post/mathmusic52.com/1220
BWV 971 : Italian Concerto
https://wordpress.com/post/mathmusic52.com/1232
BWV 974 : Concerto in D minor, After Oboe Concerto in D minor by Alessandro Marcello.
https://wordpress.com/post/mathmusic52.com/1224
BWV 988 : Goldberg variations
https://wordpress.com/post/mathmusic52.com/346
BWV 995 : Suite in G minor, a lute version of BWV 1011
https://wordpress.com/post/mathmusic52.com/1236
BWV 997 : Suite in C minor
https://wordpress.com/post/mathmusic52.com/1581
BWV 998 : Prelude, Fugue and Allegro in E-flat major
https://wordpress.com/post/mathmusic52.com/1132
BWV 999 : Prelude in C minor
https://wordpress.com/post/mathmusic52.com/1126
BWV 1000 : Fugue in G minor
https://wordpress.com/post/mathmusic52.com/1126
BWV 1001 : Violin Sonata I in G minor
https://wordpress.com/post/mathmusic52.com/380
BWV 1001 : Violin Sonate in G minor, played on the lute
https://wordpress.com/post/mathmusic52.com/1248
BWV 1002 : Violin Partita I in B minor
https://wordpress.com/post/mathmusic52.com/386
BWV 1002 : Violin Partita I in B minor, played on the lute
https://wordpress.com/post/mathmusic52.com/1264
BWV 1003 : Violin sonata II in A minor
https://wordpress.com/post/mathmusic52.com/392
BWV 1003 : Violin Sonate II in A minor, played on the lute
https://wordpress.com/post/mathmusic52.com/1268
BWV 1004 : Violin Partita II in D minor
https://wordpress.com/post/mathmusic52.com/400
BWV 1004 : Violin Partita II in D minor, played on the lute
https://wordpress.com/post/mathmusic52.com/1275
BWV 1005 : Violin sonata III in C major
https://wordpress.com/post/mathmusic52.com/411
BWV 1005 : Violin sonata III in C major, played on the lute
https://wordpress.com/post/mathmusic52.com/1280
BWV 1006 : Violin Partita III in E major
https://wordpress.com/post/mathmusic52.com/416
BWV 1006 : Violin Partita III in E major on an alto string instrument
https://wordpress.com/post/mathmusic52.com/1258
BWV 1006a : Suite in E major, a lute version of BWV 1006
https://wordpress.com/post/mathmusic52.com/1244
BWV 1007 : Cello Suite I in G major
https://wordpress.com/post/mathmusic52.com/431
BWV 1007 : Cello Suite I in G major, played on the lute
https://wordpress.com/post/mathmusic52.com/1284
BWV 1008 : Cello Suite II in D minor
https://wordpress.com/post/mathmusic52.com/460
BWV 1008 : Cello Suite II in D minor, played on the lute
https://wordpress.com/post/mathmusic52.com/1288
BWV 1009 : Cello Suite III in C major
https://wordpress.com/post/mathmusic52.com/474
BWV 1009 : Cello Suite III in C major, played on the lute
https://wordpress.com/post/mathmusic52.com/1292
BWV 1010 : Cello Suite IV in E-flat major
https://wordpress.com/post/mathmusic52.com/495
BWV 1010 : Cello Suite IV in E-flat major, played on the lute
https://wordpress.com/post/mathmusic52.com/1297
BWV 1011 : Cello Suite V in C minor
https://wordpress.com/post/mathmusic52.com/514
BWV 1012 : Cello Suite VI in D major
https://wordpress.com/post/mathmusic52.com/534
BWV 1012 : Cello Suite VI in D major, played on the lute
https://wordpress.com/post/mathmusic52.com/1301
BWV 1013 : Partita for solo flute in A minor
https://wordpress.com/post/mathmusic52.com/246
BWV 1013 : Partita for solo flute in A minor, played on the violin
https://wordpress.com/post/mathmusic52.com/1305
BWV 1013 : Partita for solo flute in A minor on a string instrument
https://wordpress.com/post/mathmusic52.com/1252
BWV 1014 : Violin Sonata in B minor
https://wordpress.com/post/mathmusic52.com/1314
BWV 1015 : Violin Sonata in A major
https://wordpress.com/post/mathmusic52.com/1321
BWV 1016 : Violin Sonata in E major
https://wordpress.com/post/mathmusic52.com/1325
BWV 1017 : Violin Sonata in C minor
https://wordpress.com/post/mathmusic52.com/1330
BWV 1018 : Violin Sonata in F minor
https://wordpress.com/post/mathmusic52.com/1334
BWV 1019 : Violin Sonata in G major
https://wordpress.com/post/mathmusic52.com/1338
BWV 1021 : Violin Sonata in G major
https://wordpress.com/post/mathmusic52.com/1516
BWV 1023 : Violin Sonata in E minor
https://wordpress.com/post/mathmusic52.com/1522
BWV 1027 : Sonata for Viola da Gamba in G major
https://wordpress.com/post/mathmusic52.com/1495
BWV 1028 : Sonata for Viola da Gamba in D major
https://wordpress.com/post/mathmusic52.com/1510
BWV 1029 : Sonata for Viola da Gamba in G minor
https://wordpress.com/post/mathmusic52.com/1489
BWV 1029 : Sonate for Viola da Gamba in G minor, Violin version
https://wordpress.com/post/mathmusic52.com/1592
BWV 1030 : Flute Sonata in B minor
https://wordpress.com/post/mathmusic52.com/1438
BWV 1032 : Flute Sonata in A major
https://wordpress.com/post/mathmusic52.com/1450
BWV 1034 : Flute Sonata in E minor
https://wordpress.com/post/mathmusic52.com/1458
BWV 1035 : Flute Sonata in E major
https://wordpress.com/post/mathmusic52.com/1464
BWV 1039 : Trio sonata in G major
https://wordpress.com/post/mathmusic52.com/250
BWV 1039 : Trio sonata in G major, strings version
https://wordpress.com/post/mathmusic52.com/1536
BWV 1041 : Violin concerto in A minor
https://wordpress.com/post/mathmusic52.com/80
BWV 1042 : Violin Concerto in E major
https://wordpress.com/post/mathmusic52.com/553
BWV 1043 : Concerto for two violins in D minor
https://wordpress.com/post/mathmusic52.com/123
BWV 1044 : Concerto for Flute, Violin and Harpsichord in A minor
https://wordpress.com/post/mathmusic52.com/1116
BWV 1046 : Brandenburg concerto I in F major
https://wordpress.com/post/mathmusic52.com/270
BWV 1047 : Brandenburg concerto II in F major
https://wordpress.com/post/mathmusic52.com/308
BWV 1048 : Brandenburg concerto III in G major
https://wordpress.com/post/mathmusic52.com/216
BWV 1048 : Brandenburg concerto III in G major on electric guitars
https://wordpress.com/post/mathmusic52.com/208
BWV 1049 : Brandenburg concerto IV in G major
https://wordpress.com/post/mathmusic52.com/315
BWV 1050 : Brandenburg concerto V in D major
https://wordpress.com/post/mathmusic52.com/85
BWV 1051 : Brandenburg concerto VI in B flat major
https://wordpress.com/post/mathmusic52.com/283
BWV 1052 : Harpsichord concerto in D minor
https://wordpress.com/post/mathmusic52.com/277
BWV 1052 : Harpsichord concerto in D minor on electric-guitars
https://wordpress.com/post/mathmusic52.com/288
BWV 1053 : Harpsichord Concerto in E major
https://wordpress.com/post/mathmusic52.com/565
BWV 1054 : Harpsichord Concerto in D major
https://wordpress.com/post/mathmusic52.com/570
BWV 1055 : Harpsichord Concerto in A major
https://wordpress.com/post/mathmusic52.com/591
BWV 1056 : Harpsichord Concerto in F minor
https://wordpress.com/post/mathmusic52.com/596
BWV 1057 : Harpsichord concerto in F major
https://wordpress.com/post/mathmusic52.com/602
BWV 1058 : Harpsichord concerto in G minor
https://wordpress.com/post/mathmusic52.com/608
BWV 1059 : Harpsichord Concerto in D minor
https://wordpress.com/post/mathmusic52.com/615
BWV 1059R : Harpsichord concerto in D minor — A trial reconstruction by the site owner
https://wordpress.com/post/mathmusic52.com/621
BWV 1060 : Concerto for two harpsichords in C minor
https://wordpress.com/post/mathmusic52.com/9
BWV 1060R : Re-constructed concerto in C minor on electric guitars
https://wordpress.com/post/mathmusic52.com/179
BWV 1061 : Concerto for two harpsichords in C major
https://wordpress.com/post/mathmusic52.com/27
BWV 1061 : Concerto for two harpsichords in C major on electric instruments
https://wordpress.com/post/mathmusic52.com/201
BWV 1062 : Concerto for two harpsichords in C minor
https://wordpress.com/post/mathmusic52.com/70
BWV 1064 : Concerto for three harpsichords in C major
https://wordpress.com/post/mathmusic52.com/667
BWV 1065 : Concerto for four harpsichords in A minor
https://wordpress.com/post/mathmusic52.com/558
BWV 1066 : Ouverture I in C major
https://wordpress.com/post/mathmusic52.com/1145
BWV 1067 : Ouverture II in B minor
https://wordpress.com/post/mathmusic52.com/1120
BWV 1068 : Ouverture III in D major
https://wordpress.com/post/mathmusic52.com/1136
BWV 1079 : Musical offering (Under construction)
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Singular Homology Theory
Here is the result of the attempt of the site-owner to create a user-friendly account of singular homology theory.
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Study Memo on “Introduction to Differential Topology”, Broecker-Jaenich
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Russel’s Paradox
Russel’s Paradox is well-known in set theory. Roughly speaking, it tells you that certain constructions such as “the set of all sets” bring contradictions. I just found an accessible account of the paradox by J. J. Rotman.
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