And yet it is heard: musical, multilingual and multicultural history of the mathematical sciences 1
Gespeichert in:
| Beteilige Person: | |
|---|---|
| Format: | Buch |
| Sprache: | Deutsch |
| Veröffentlicht: |
Basel
Birkhäuser
2014
|
| Schriftenreihe: | Science networks
46 |
| Links: | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027398668&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| Umfang: | XIV, 407 S. 25 cm |
| ISBN: | 9783034806718 |
Internformat
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| 245 | 1 | 0 | |a And yet it is heard |b musical, multilingual and multicultural history of the mathematical sciences |n 1 |c Tito M. Tonietti |
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Datensatz im Suchindex
| _version_ | 1819353635561144320 |
|---|---|
| adam_text | Contents
for
Volume
I
1
Introduction
.................................................................. 1
Part I In the Ancient World
2
Above All with the Greek Alphabet
........................................ 9
2.1
The Most Ancient of All the Quantitative Physical Laws
............ 9
2.2
The Pythagoreans
....................................................... 11
2.3
Plato
..................................................................... 19
2.4
Euclid
................................................................... 25
2.5
Aristoxenus
............................................................. 35
2.6
Claudius Ptolemaeus
................................................... 41
2.7
Archimedes and a Few Others
......................................... 54
2.8
The Latin Lucretius
..................................................... 64
2.9
Texts and Contexts
...................................................... 82
3
In Chinese Characters
....................................................... 97
3.1
Music in China, Yuejing, Confucius
................................... 97
3.2
Tuning Reed-Pipes
..................................................... 100
3.3
The Figure of the String
................................................
Ill
3.4
Calculating in Nine Ways
.............................................. 117
3.5
The Qi
................................................................... 124
3.6
Rules, Relationships and Movements
.................................. 140
3.6.1
Characters and Literary Discourse
............................ 141
3.6.2
A Living Organism on Earth
................................... 143
3.6.3
Rules, Models in Movement and Values
...................... 147
3.6.4
The Geometry of the Continuum in Language
................ 151
3.7
Between Tao and Logos
................................................ 153
4
In the Sanskrit of the Sacred Indian Texts
................................ 169
4.1
Roots in the Sacred Books
............................................. 169
4.2
Rules and Proofs
........................................................ 172
4.3
Numbers and Symbols
................................................. 179
¡X
χ
Contents
for Volume I
4.4
Looking Down from on High
.......................................... 187
4.5
Did a Mathematical Theory of Music Exist in India, or Not?
........ 194
4.6
Between Indians and Arabs
............................................ 203
5
Not Only in Arabic
........................................................... 209
5.1
Between the West and the East
........................................ 209
5.2
The Theory of Music in Ibn
Sina
...................................... 210
5.3
Other Theories of Music
............................................... 219
5.4
Beyond the Greek Tradition
............................................ 225
5.5
Did the Arabs Use Their Fractions and Roots
for the Theory of Music, or Not?
...................................... 232
5.6
An Experimental Model Between Mathematical Theory
and Practice
............................................................. 238
5.7
Some Reasons Why
.................................................... 244
6
With the Latin Alphabet, Above All
....................................... 257
6.1
Reliable Proofs of Transmission
....................................... 257
6.2
Theory and Practice of Music: Severinus Boethius
and
Guido D Arezzo
................................................... 259
6.3
Facing the Indians and the Arabs: Leonardo da Pisa
................. 271
6.4
Constructing, Drawing, Calculating:
Leon Battista Alberti, Piero della Francesca,
Luca Pacioli, Leonardo da Vinci
....................................... 276
6.5
The Quadrivium Still Resisted:
Francesco Maurolico,
the Jesuits and Girolamo
Cardano
..................................... 291
6.6
Variants of Pythagorean Orthodoxy: Gioseffo Zarlino,
Giovan
Battista Benedetti..............................................
303
6.7
The Rebirth of Aristoxenus, or Vincenzio Galilei
.................... 309
A [From the] Suanfa tongzong [Compendium of Rules
for Calculating] by Cheng Dawei
............................................ 329
В
Al-qavH
ala ajnas
alladhi bi-al-arba a [Discussion
on the
í
enera
Contained in a Fourth] by Omar al-Khayyam
............... 335
С
Musica
[Music] by Francesco Maurolico
................................... 341
C.
1
Roles to Compose Consonant Music
.................................. 348
C.2 Rule of Unification
..................................................... 353
C.3 Rule of Taking Away
................................................... 354
C.4 The Calculation of Boethius for the Comparison of Intervals
........ 359
C.5 Comment on the Calculation of Boethius
............................. 360
C.6 Guido s Icosichord
...................................................... 362
C.7 MUSIC
.................................................................. 374
D
The Chinese Characters
..................................................... 379
Bibliography
...................................................................... 395
Contents
for
Volume
II
7
Introduction to Volume II
................................................. 1
Part II In the World of the Scientific Revolution
8
Not Only in Latin, but also in Dutch, Chinese, Italian
and German
................................................................. 5
8.1
Aristoxenus with Numbers, or Simon Stevin and Zhu Zaiyu
...... 5
8.2
Reaping What Has Been Sown. Galileo Galilei,
the Jesuits and the Chinese
.......................................... 18
8.3
Johannes Kepler: The Importance of Harmony
..................... 37
9
Beyond Latin, French, English and German:
The Invention of Symbolism
............................................... 107
9.1
From
Marin
Mersenne to Blaise Pascal
............................. 107
9.2 René
Descartes, Isaac Beeckman and John
Wallis................. 158
9.3
Constantijn and Christiaan Huygens
................................ ] 92
10
Between Latin, French, English and German:
The Language of Transcendence
.......................................... 227
10.1
Gottfried
Wilhelm
Leibniz
........................................... 227
10.2
Sir Isaac Newton and Mr. Robert Hooke
............................ 265
10.3
Symbolism and Transcendence
...................................... 29
1
11
Between Latin and French
................................................. 327
1
1.1
Jean-Philippe Rameau,
the Bernoulli s and Leonhard
Euler
........ 327
1 1.2
Jean le Rond d Alembert,
Jean-Jacques Rousseau
and Denis Diderot
.................................................... 368
1 1.3
Counting, Singing and Listening: From
Rameau
to Mozart
....... 412
12
From French to German
................................................... 431
12.1
From Music-Making to Acoustics:
Luigi
Giuseppe
Lagrange
e
Joseph
Jean-Baptiste
Fourier
........................... 43 1
Xl
xii Contents
for
Volume
II
12.2
Too Much Noise, from Harmony to Harmonics:
Bernhard Riemann
and Hermann
von Helmholtz.................. 439
12.3 Ludwig Boltzmann
and Max Planck
................................ 466
12.4
Arnold
Schönberg
and Albert Einstein
.............................. 483
Part III It Is Not Even Heard
13
In the Language of the Venusians
......................................... 511
13.1
Black Languages
..................................................... 511
13.2
Stones, Pieces of String and Songs
.................................. 513
13.3
Dancing, Singing and Navigating
................................... 514
14
Come on, Apophis
.......................................................... 527
14.1 Gott mit uns.......................................................... 527
Bibliography
...................................................................... 535
Index
............................................................................... 577
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| id | DE-604.BV041955779 |
| illustrated | Not Illustrated |
| indexdate | 2024-12-20T16:58:41Z |
| institution | BVB |
| isbn | 9783034806718 |
| language | German |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027398668 |
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| owner | DE-11 DE-12 DE-210 DE-355 DE-BY-UBR |
| owner_facet | DE-11 DE-12 DE-210 DE-355 DE-BY-UBR |
| physical | XIV, 407 S. 25 cm |
| publishDate | 2014 |
| publishDateSearch | 2014 |
| publishDateSort | 2014 |
| publisher | Birkhäuser |
| record_format | marc |
| series | Science networks |
| series2 | Science networks : historical studies |
| spellingShingle | Tonietti, Tito M. And yet it is heard musical, multilingual and multicultural history of the mathematical sciences Science networks |
| title | And yet it is heard musical, multilingual and multicultural history of the mathematical sciences |
| title_auth | And yet it is heard musical, multilingual and multicultural history of the mathematical sciences |
| title_exact_search | And yet it is heard musical, multilingual and multicultural history of the mathematical sciences |
| title_full | And yet it is heard musical, multilingual and multicultural history of the mathematical sciences 1 Tito M. Tonietti |
| title_fullStr | And yet it is heard musical, multilingual and multicultural history of the mathematical sciences 1 Tito M. Tonietti |
| title_full_unstemmed | And yet it is heard musical, multilingual and multicultural history of the mathematical sciences 1 Tito M. Tonietti |
| title_short | And yet it is heard |
| title_sort | and yet it is heard musical multilingual and multicultural history of the mathematical sciences |
| title_sub | musical, multilingual and multicultural history of the mathematical sciences |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027398668&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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