Travelling mathematics - the fate of Diophantos' arithmetic:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Basel
Birkhäuser
[2010]
|
| Schriftenreihe: | Science Networks
41 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | ix, 208 Seiten Illustrationen |
| ISBN: | 9783034606424 9783034606431 |
Internformat
MARC
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| 100 | 1 | |a Meskens, Ad |d 1962- |0 (DE-588)142880434 |4 aut | |
| 245 | 1 | 0 | |a Travelling mathematics - the fate of Diophantos' arithmetic |c Ad Meskens |
| 264 | 1 | |a Basel |b Birkhäuser |c [2010] | |
| 264 | 4 | |c © 2010 | |
| 300 | |a ix, 208 Seiten |b Illustrationen | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Science Networks |v 41 | |
| 600 | 0 | 7 | |a Diophantus |c Alexandrinus |d ca. 3. Jh. |t Arithmetica |0 (DE-588)7724733-4 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Diophantus |c Alexandrinus |d ca. 3. Jh. |t Arithmetica |0 (DE-588)7724733-4 |D u |
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Datensatz im Suchindex
| _version_ | 1804143414368796672 |
|---|---|
| adam_text | Contents
Preface
vii
1
Arithmetic and the beginnings of algebra
1
1.1
In the beginning
.............................. 1
1.2
Classical Greece
............................. 12
1.3
The Greek written heritage
...................... 15
1.4
Numbers in Classical Greece
...................... 16
1.5
All is number
.............................. 24
2
Alexandria ad Aegyptum
27
2.1
The capital of memory
......................... 27
2.2
Diophantos Alexandria
........................ 32
2.3
Education and the culture of
paideia
................. 35
2.4
Heron of Alexandria: a Diophantine precursor?
........... 37
3
Diophantos and the Arithmetika
43
3.1
The manuscripts
............................ 43
3.2
Diophantos
............................... 46
3.3
The book On Polygonal Numbers and the lost books
........ 49
3.4
Symbolism in the Arithmetika
..................... 52
3.5
The structure of a Diophantine problem
............... 57
3.6
The Arithmetika
............................ 59
3.7
The algebra of the Arithmetika
.................... 78
3.8
Interpretations of algebra in the Arithmetika
............ 88
3.9
Negative numbers?
........................... 97
3.10
Conclusion
............................... 101
4
Sleeping beauty in the Dark Ages
103
4.1
The sins of the Fathers
.......................... 103
4.2
From Alexandria to Baghdad
..................... 107
4.3
The Byzantine connection
....................... 113
4.4
Diophantos reinvented: Fibonacci
................... 117
vi
Contents
5
New
vistas
123
5.1
Printed by
................................ 123
5.2
Wherefore art thou number?
..................... 125
5.3
Prom the rule of coss to algebra
................... 128
6
Humanism
133
6.1
Trait
d union: Bessarion
and the humanists
............. 133
6.2
Diophantos goes north: Regiomontanus
................ 135
7
Renaissance or the rebirth of Diophantos
139
7.1
Xylander: A sphinx to solve a riddle
................. 139
7.2
Coincidence of traditions: Rafael Bombelli
.............. 142
7.3
The great art:
Guillaume
Gosselin..................
146
7.4
The marvel is no marvel: Simon Stevin
................ 150
8
Fair stood the wind for France
155
8.1
Diophantos triangles:
François
Viète
and the New Algebra
..... 155
8.2
Emulating the Ancients: Claude-Gaspar Bachet
de Méziriac
.... 161
8.3
This margin is too small
......................... 166
9
Coda: Hubert s tenth problem
171
10
Stemma
173
Bibliography
177
Index
201
|
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| id | DE-604.BV036751593 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T22:47:17Z |
| institution | BVB |
| isbn | 9783034606424 9783034606431 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-020668844 |
| oclc_num | 705940354 |
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| owner | DE-11 DE-12 DE-210 DE-355 DE-BY-UBR DE-83 |
| owner_facet | DE-11 DE-12 DE-210 DE-355 DE-BY-UBR DE-83 |
| physical | ix, 208 Seiten Illustrationen |
| publishDate | 2010 |
| publishDateSearch | 2010 |
| publishDateSort | 2010 |
| publisher | Birkhäuser |
| record_format | marc |
| series | Science Networks |
| series2 | Science Networks |
| spelling | Meskens, Ad 1962- (DE-588)142880434 aut Travelling mathematics - the fate of Diophantos' arithmetic Ad Meskens Basel Birkhäuser [2010] © 2010 ix, 208 Seiten Illustrationen txt rdacontent n rdamedia nc rdacarrier Science Networks 41 Diophantus Alexandrinus ca. 3. Jh. Arithmetica (DE-588)7724733-4 gnd rswk-swf Diophantus Alexandrinus ca. 3. Jh. Arithmetica (DE-588)7724733-4 u b DE-604 Erscheint auch als Online-Ausgabe 978-3-0346-0643-1 Science Networks 41 (DE-604)BV002495563 41 Digitalisierung UB Regensburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020668844&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Meskens, Ad 1962- Travelling mathematics - the fate of Diophantos' arithmetic Science Networks Diophantus Alexandrinus ca. 3. Jh. Arithmetica (DE-588)7724733-4 gnd |
| subject_GND | (DE-588)7724733-4 |
| title | Travelling mathematics - the fate of Diophantos' arithmetic |
| title_auth | Travelling mathematics - the fate of Diophantos' arithmetic |
| title_exact_search | Travelling mathematics - the fate of Diophantos' arithmetic |
| title_full | Travelling mathematics - the fate of Diophantos' arithmetic Ad Meskens |
| title_fullStr | Travelling mathematics - the fate of Diophantos' arithmetic Ad Meskens |
| title_full_unstemmed | Travelling mathematics - the fate of Diophantos' arithmetic Ad Meskens |
| title_short | Travelling mathematics - the fate of Diophantos' arithmetic |
| title_sort | travelling mathematics the fate of diophantos arithmetic |
| topic | Diophantus Alexandrinus ca. 3. Jh. Arithmetica (DE-588)7724733-4 gnd |
| topic_facet | Diophantus Alexandrinus ca. 3. Jh. Arithmetica |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020668844&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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