Wasan: the fascination of traditional Japanese mathematics
Wasan - a unique form of Japanese mathematics - was developed during the Edo period (1603-1868), a time when the entire country was isolated from the rest of the world. Mathematics was enjoyed as a form of entertainment by adults and children alike and by people of all social classes. Jinkōki, an ex...
Gespeichert in:
| 1. Verfasser: | |
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| Weitere Verfasser: | , |
| Format: | Buch |
| Sprache: | English Japanese |
| Veröffentlicht: |
Tokyo
Japan Publishing Industry Foundation for Culture
March 2018
|
| Ausgabe: | First English edition |
| Schriftenreihe: | Japan library
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Zusammenfassung: | Wasan - a unique form of Japanese mathematics - was developed during the Edo period (1603-1868), a time when the entire country was isolated from the rest of the world. Mathematics was enjoyed as a form of entertainment by adults and children alike and by people of all social classes. Jinkōki, an extraordinary mathematics textbook, was used at private elementary schools called terakoya and became a bestseller that could be found in every household. Furthermore, world-class works were produced by Japanese mathematicians such as Seki Takakazu and Takebe Katahiro. This book explores the beauty and fascination surrounding wasan by providing a guided tour that goes back in time over three hundred years and navigates through the mysterious and incredible world of mathematical wizardry found during the Edo period in Japan |
| Beschreibung: | 178 Seiten Illustrationen 21 cm |
| ISBN: | 9784866580173 |
Internformat
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Datensatz im Suchindex
| _version_ | 1804178444184977408 |
|---|---|
| adam_text | CONTENTS
On the occasion of the publication of the English translation 9
Preface: Seeking the soul of mathematics 13
Mathematics Fever
Sangaku 22
Early mathematical traces 26
The Jinkoki and the development of wasan 28
Numeration systems in the Jinkoki 33
Multiplication table 36
A “division table” 39
7T as 3.16 is divisible by 4 42
Fun calculations (Josephus problem/mamakodate) 46
Challenge problems (idai) 53
Eighth-order equations and the non-professional 61
Seki Takakazu 66
The Bernoulli formula 70
“Obeying the soul of mathematics leads to good” 73
A new notation for Japanese people 76
Wasan enthusiasts and n
“Prove that rt is greater than 3.05” 81
The history of n 86
Irrational and transcendental numbers 88
Napier’s constant 90
Is 7T the ultimate “random”? 95
Muramatsu Shigekiyo and n 98
Seki Takakazu and his “acceleration method” 100
Zero and infinity 103
Takebe Katahiro 105
The Basel problem 109
Euler’s work on infinite series 111
Matsunaga Yoshisuke and his 52 digits 115
CHAPTER
Wi)m
Wasan, alive today
The bane of entrance exams 123
Schools of mathematics: sugakujuku 125
Yamaguchi Kazu and Chiba Tanehide 128
Other streams of wasan 131
Wasan’s demise 136
119
Wasan mathematicians and the introduction
of the Gregorian calendar 139
Fukuda Riken and the introduction ofWestern mathematics 141
Wasan and the development ofWestern mathematics in Japan 144
Takahashi Tsumitane, the last wasan mathematician 146
Loving and hating mathematics, two sides of the same coin 148
Exercises
The crane-tortoise calculation (tsurukame-zan) 152
The calculation of crows (karasu-zan) 156
The calculation of travelers (tabibito-zan) 158
Rice bale calculation (tawarasugi-zan) 160
Guessing number calculation (sassadate) 162
Silk thief calculation (kinunusubito-zan) 164
The Yakushi calculation (yakushi-zan) 166
Arithmetical restorations (mushikui-zan) 170
Freight cost calculation (unchin-zan) 172
105 subtraction (hyakugozen-zan) 174
151
|
| any_adam_object | 1 |
| author | Sakurai, Susumu 1968- |
| author2 | Ford, Emma Sekimori, Gaynor |
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| author_GND | (DE-588)1155621662 |
| author_facet | Sakurai, Susumu 1968- Ford, Emma Sekimori, Gaynor |
| author_role | aut |
| author_sort | Sakurai, Susumu 1968- |
| author_variant | s s ss |
| building | Verbundindex |
| bvnumber | BV044894359 |
| classification_rvk | SG 515 SM 609 |
| ctrlnum | (OCoLC)1031056193 (DE-599)BVBBV044894359 |
| discipline | Mathematik |
| edition | First English edition |
| era | Geschichte 1600-1868 gnd |
| era_facet | Geschichte 1600-1868 |
| format | Book |
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| geographic_facet | Japan |
| id | DE-604.BV044894359 |
| illustrated | Illustrated |
| indexdate | 2024-07-10T08:04:04Z |
| institution | BVB |
| isbn | 9784866580173 |
| language | English Japanese |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-030288305 |
| oclc_num | 1031056193 |
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| physical | 178 Seiten Illustrationen 21 cm |
| publishDate | 2018 |
| publishDateSearch | 2018 |
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| spelling | Sakurai, Susumu 1968- Verfasser (DE-588)1155621662 aut Edo no sūgaku kyōkasho Wasan the fascination of traditional Japanese mathematics Sakurai Susumu ; translated by Emma Ford, with Gaynor Sekimori First English edition Tokyo Japan Publishing Industry Foundation for Culture March 2018 178 Seiten Illustrationen 21 cm txt rdacontent n rdamedia nc rdacarrier Japan library Wasan - a unique form of Japanese mathematics - was developed during the Edo period (1603-1868), a time when the entire country was isolated from the rest of the world. Mathematics was enjoyed as a form of entertainment by adults and children alike and by people of all social classes. Jinkōki, an extraordinary mathematics textbook, was used at private elementary schools called terakoya and became a bestseller that could be found in every household. Furthermore, world-class works were produced by Japanese mathematicians such as Seki Takakazu and Takebe Katahiro. This book explores the beauty and fascination surrounding wasan by providing a guided tour that goes back in time over three hundred years and navigates through the mysterious and incredible world of mathematical wizardry found during the Edo period in Japan Geschichte 1600-1868 gnd rswk-swf Mathematik (DE-588)4037944-9 gnd rswk-swf Tradition (DE-588)4060560-7 gnd rswk-swf Japan (DE-588)4028495-5 gnd rswk-swf Mathematics, Japanese Japan (DE-588)4028495-5 g Tradition (DE-588)4060560-7 s Mathematik (DE-588)4037944-9 s Geschichte 1600-1868 z DE-604 Ford, Emma trl Sekimori, Gaynor trl Digitalisierung UB Bamberg - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=030288305&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Sakurai, Susumu 1968- Wasan the fascination of traditional Japanese mathematics Mathematik (DE-588)4037944-9 gnd Tradition (DE-588)4060560-7 gnd |
| subject_GND | (DE-588)4037944-9 (DE-588)4060560-7 (DE-588)4028495-5 |
| title | Wasan the fascination of traditional Japanese mathematics |
| title_alt | Edo no sūgaku kyōkasho |
| title_auth | Wasan the fascination of traditional Japanese mathematics |
| title_exact_search | Wasan the fascination of traditional Japanese mathematics |
| title_full | Wasan the fascination of traditional Japanese mathematics Sakurai Susumu ; translated by Emma Ford, with Gaynor Sekimori |
| title_fullStr | Wasan the fascination of traditional Japanese mathematics Sakurai Susumu ; translated by Emma Ford, with Gaynor Sekimori |
| title_full_unstemmed | Wasan the fascination of traditional Japanese mathematics Sakurai Susumu ; translated by Emma Ford, with Gaynor Sekimori |
| title_short | Wasan |
| title_sort | wasan the fascination of traditional japanese mathematics |
| title_sub | the fascination of traditional Japanese mathematics |
| topic | Mathematik (DE-588)4037944-9 gnd Tradition (DE-588)4060560-7 gnd |
| topic_facet | Mathematik Tradition Japan |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=030288305&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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