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Japanese Mathematicians: more detail

Japanese Mathematicians: Heisuke Hironaka, Goro Shimura, Teiji Takagi, Seki Kowa, Toshikazu Sunada, Yozo Matsushima, Kunihiko Kodaira

The Contributions of Japanese Mathematicians since 1950: An entry from Gale's <i>Science and Its Times</i> by P. Andrew Karam, 2001

Mikio Sato, A Great Japanese Mathematician of the Twentieth Century by Raymond Chan, 1999-11-01

Keep A Straight Face Of Mathematicians (KODANSHA NOBERUSU) Japanese Language Book by Hirotsugu Mori, 1996

A Young American Mathematician (Shincho Paperback) Japanese Language Book by Masahiko Huzihara, 1981

Sugaku no saiten: Kokusaisugakushakaigi (Japanese Edition) by D.J. Albers, G.L. Alexanderson, et all 1990-01-01

1. Japanese Mathematical History
However the most influential of all japanese mathematicians emerged some yearslater during the genroku period. Kowa Seki (1642 1718) was,
http://www.sunnyblue.net/tp/sangaku/jap_mat.html
Japanese History (1603-) Japanese Mathematics Sangaku Interactive Examples
Japanese Mathematical History
In Japanese the word wasan exists, it is used to refer to Japanese mathematics. Wassan is meant to stand in opposition to western mathematics, yosan.

2. Seki, Kowa (Takakazu)
Japanese mathematician who created a new mathematical notation system and used it to discover many of the theorems and theories that were being or
http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

3. Category:Japanese Mathematicians - Wikipedia, The Free Encyclopedia
This category is for japanese mathematicians. Mathematicians can also be browsedby field and by period. Articles in category japanese mathematicians
http://en.wikipedia.org/wiki/Category:Japanese_mathematicians
Category:Japanese mathematicians
From Wikipedia, the free encyclopedia.
Mathematicians from Asia and Oceania by nationality Arab Australian Azerbaijani Chinese ... Israeli Japanese
New Zealand Russian Turkish Vietnamese Other continents: Africa Americas Europe This category is for Japanese mathematicians . Mathematicians can also be browsed by field and by period . The root category for mathematicians is here
Articles in category "Japanese mathematicians"
There are 19 articles in this category.
A
Naonobu Ajima Tadatoshi Akiba Yoriyuki Arima
F
Masahiko Fujiwara
H
Hiroshi Haruki Heisuke Hironaka
I
Kiyoshi ItÅ Kenkichi Iwasawa
K
Yasumasa Kanada Kunihiko Kodaira
M
Shigefumi Mori
O
Kiyoshi Oka Hiroshi Okamura
S
Mikio Sato Kowa Seki Goro Shimura
T
Teiji Takagi Yutaka Taniyama
Y
Yoneda Nobuo
Retrieved from " http://en.wikipedia.org/wiki/Category:Japanese_mathematicians Categories Mathematicians by nationality Japanese scientists ... Japanese people by occupation Views
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4. History Of Japanese Mathematics
at "iain.w.preston@btinternet.com" Japanese/Nihongo Link to Edo Page Other Links Temple Geometry Mathematicians Calculating
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5. History Of Mathematics Chronology Of Mathematicians
A list of all of the important mathematicians working in a given century.
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6. Seki
Seki soon built up a library of Japanese and Chinese books on mathematics and A Poster of Takakazu Seki Mathematicians born in the same country
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7. HISTORY OF MATHEMATICS Normile 307 (5716) 1715 Science
japanese mathematicians were less enthralled, however, Serious Japanesemathematicians were producing much more significant theoretical work at the time
http://www.sciencemag.org/cgi/content/full/307/5716/1715

8. History Of Mathematics China
Chronology of Mathematicians and Mathematical Works qi meng (Introduction to Mathematical Studies) (1299) There is a Japanese edition of 1658.
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9. Introduction Of Seki Kowa
That is to say, if japanese mathematicians had Chinese mathematical books, Seki Kowa became too famous, most japanese mathematicians knew him only
http://www2.nkfust.edu.tw/~jochi/intro.htm
én@Î Introduction Shigeru Jochi Back to ICMAOSK
Back to Home Page
Back to Japanese Home Page
Back to Chinese Home Page ...
Back to English Home Page

10. History Of Mathematics Japan
Mathematicians. Nilakantha Somayaji (14451545) Yoshida Koyu (1598-1672) Japanese temple geometry problems = Sangaku Charles Babbage Research
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11. ICMAOSK
Some Chinese mathematical books were republished and studied by Japanesemathematicians, but these two books were not accessible to japanese mathematicians.
http://www2.nkfust.edu.tw/~jochi/j9.htm
wÌÖFaÖÌe¿ én@Î The Influence of Chinese Mathematics Arts on Seki Kowa Shigeru Jochi
ABSTRACT
CONTENTS
ABSTRACTEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE 2 ACKNOWLEDGEMENTSEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE 3 INTRODUCTION 1 : THE STUDY OF EDITIONS The Shu Shu Jiu Zhang EEEEEEEEEEEEEEEEEEEEEEE28 (a) Before completion of the Si Ku Quan Shu EEEEEEEEEE29 (b) From completion of the Si Ku Quan Shu to the publication of Yi-Jia-Tang Cong-Shu EEEEEEEEEE30 (c) After publication of the Yi-Jia-Tang Cong-Shu EEEEEEE33 (d) Conclusion to section 1-1EEEEEEEEEEEEEEEEE34 (2) The Yang Hui Suan Fa EEEEEEEEEEEEEEEEEEEEEEE35 (a) Versions of Qindetang press and its related editionsEEEE37 (b) Versions of the Yong Le Da Dian Edition EEEEEEEEEE42 (c) Conclusion to section 1-2EEEEEEEEEEEEEEEEE45 Notes EEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE47 Diagram of manuscript tradition EEEEEEEEEEEEEEEEEEEE59 Biography of Ruan Yun and Li Rui EEEEEEEEEEEEEEEEEEEE62 2 : THE CONCEPTION AND EXTENSION OF METHOD FOR MAKING MAGIC SQUARE 3 : THE ANALYSIS FOR SOLVING INDETERMINATE EQUATIONS (1) Study history EEEEEEEEEEEEEEEEEEEEEEEEEE 148 (2) "The Sunzi Theorem" (Chinese Remainder Theorem)EEEEEEEEE 150 (a) In ChinaEEEEEEEEEEEEEEEEEEEEEEEEE 150 (b) In JapanEEEEEEEEEEEEEEEEEEEEEEEEE 156

12. An Old Japanese Problem
1929 he reports (on page 193 of the Dover edition, 1960) on the ancient custom by japanese mathematicians of inscribing their discoveries on
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13. Sangaku Problem -- From MathWorld
During the time of isolation, japanese mathematicians developed their own traditional japanese mathematicians represented in sangaku include Seki Kowa
http://mathworld.wolfram.com/SangakuProblem.html
INDEX Algebra Applied Mathematics Calculus and Analysis Discrete Mathematics ... Alphabetical Index
DESTINATIONS About MathWorld About the Author Headline News ... Random Entry
CONTACT Contribute an Entry Send a Message to the Team
MATHWORLD - IN PRINT Order book from Amazon Geometry Plane Geometry Miscellaneous Plane Geometry ... Kimberling Sangaku Problem Sangaku problems, often written "san gaku," are geometric problems of the type found on devotional mathematical wooden tablets ("sangaku") were hung under the roofs of shrines or temples in Japan during two centuries of schism from the west (Fukagawa and Pedoe 1989). During the time of isolation, Japanese mathematicians developed their own "traditional mathematics," which, in the 1850s, began giving way to western methods. There were also changes in the script in which mathematics was written and, as a result, few people now living know how to interpret the historic tablets (Kimberling). Japanese mathematicians represented in sangaku include Seki Kowa (1642-1708), Ajima Chokuen (also called Naonobu; 1732-1798), and Shoto Kenmotu (1790-1871). Sangaku problems typically involve mutually tangent circles or tangent spheres , with specific examples including the properties of the Ajima-Malfatti points Japanese theorem , and Kenmotu point SEE ALSO: Ajima-Malfatti Points Casey's Theorem Circle Inscribing Cylinder-Sphere Intersection ... [Pages Linking Here] REFERENCES: Fukagawa, H. and Pedoe, D.

14. Math Forum - Ask Dr. Math
Can you give me some information on Japanese mathematics, both past and present, and the names of some famous japanese mathematicians?
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15. Japanese Theorem -- From MathWorld
According to an ancient custom of japanese mathematicians, this theorem was aSangaku problem inscribed on tablets hung in a Japanese temple to honor the
http://mathworld.wolfram.com/JapaneseTheorem.html
INDEX Algebra Applied Mathematics Calculus and Analysis Discrete Mathematics ... Alphabetical Index
DESTINATIONS About MathWorld About the Author Headline News ... Random Entry
CONTACT Contribute an Entry Send a Message to the Team
MATHWORLD - IN PRINT Order book from Amazon Geometry Plane Geometry Polygons ... Sangaku Problems Japanese Theorem Let a convex cyclic polygon be triangulated in any manner, and draw the incircle to each triangle so constructed. Then the sum of the inradii is a constant independent of the triangulation chosen. This theorem can be proved using Carnot's theorem . In the above figures, for example, the inradii of the left triangulation are 0.142479, 0.156972, 0.232307, 0.498525, and the inradii of the right triangulation are 0.157243, 0.206644, 0.312037, 0.354359, giving a sum of 1.03028 in each case. According to an ancient custom of Japanese mathematicians, this theorem was a Sangaku problem inscribed on tablets hung in a Japanese temple to honor the gods and the author in 1800 (Johnson 1929). The converse is also true: if the sum of inradii does not depend on the triangulation of a polygon , then the polygon is cyclic SEE ALSO: Carnot's Theorem Cyclic Polygon Incircle Inradius ... [Pages Linking Here] REFERENCES: Hayashi, T. "Sur un soi-disant théorème chinois."

16. Japanese Mathematical History
developing arithmetical calculations on the soroban (Japanese abacus). However the most influential of all japanese mathematicians emerged some
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17. Scientific American: Feature Article: Japanese Temple Geometry: May 1998
that definite historical records exist of any japanese mathematicians. Today s mathematicians would use modern calculus to solve these problems.
http://www2.gol.com/users/coynerhm/0598rothman.html
Japanese Temple Geometry
During Japan's period of national seclusion (16391854), native mathematics thrived, as evidenced in sangaku wooden tablets engraved with geometry problems hung under the roofs of shrines and temples by Tony Rothman , with the cooperation of Hidetoshi Fukagawa
SUBTOPICS:
Pleasing the Kami Wasan versus ... Spheres within Ellipsoids SIDEBAR:
Works of Art Typical sangaku Problems ...
RELATED LINKS Of the world's countless customs and traditions, perhaps none is as elegant, nor as beautiful, as the tradition of sangaku , Japanese temple geometry. From 1639 to 1854, Japan lived in strict, self-imposed isolation from the West. Access to all forms of occidental culture was suppressed, and the influx of Western scientific ideas was effectively curtailed. During this period of seclusion, a kind of native mathematics flourished. Devotees of math, evidently samurai, merchants and farmers, would solve a wide variety of geometry problems, inscribe their efforts in delicately colored wooden tablets and hang the works under the roofs of religious buildings. These sangaku , a word that literally means mathematical tablet, may have been acts of homagea thanks to a guiding spiritor they may have been brazen challenges to other worshipers: Solve this one if you can! For the most part

18. References For Seki
VII. (The works of Takakazu Seki) (Japanese), T hoku Math. J. 48 (1941), 201214. Mathematicians of the day Anniversaries for the year
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19. Scientific American: Feature Article: Japanese Temple Geometry: May 1998
The answer given here, though, was obtained by using the inversion method, whichwas unknown to the japanese mathematicians of that era.
http://www2.gol.com/users/coynerhm/0598rothman_ans1.html
Answers to Sangaku Problems
The original solution to this problem applies the Japanese version of the Descartes circle theorem several times. The answer given here, though, was obtained by using the inversion method, which was unknown to the Japanese mathematicians of that era. Because the method of inversion is generally not taught in American math courses, let us first review the technique and state without proof the results needed to solve the problem. Inversion is an operation generally defined with respect to a circle, call it S , with a radius k and a center T . The point T is called the center of inversion. Let P be any point in the plane containing S , and let TP be the legnth joining points T and P If P' is the inverse of P with respect to S , then
TP (TP') = r
In other words, r is the geometric mean of the lengths TP and TP' . The reason is that by construction, triangles TAP' and TAP are similar and so TP/r = r/TP' or TP (TP') = r Not only pointsbut entire figurescan be inverted. Each point P on the original inverts to P' on the inversion. The following four theorems apply to a circle

20. Trigonometry And Its Acceptance...
The first japanese mathematicians to make use of trigonometry were G. Nakane japanese mathematicians completely comprehended the use of trigonometry by
http://www.mi.sanu.ac.yu/vismath/visbook/kobayashi/
Trigonometry and Its Acceptance
in the 18 th th Centuries Japan Tatsuhiko Kobayashi
Name: Tatsuhiko Kobayashi, Historian (b. Sukumo, Kochi Prefecture, Japan, 1947). Address : Department of Civil Engineering, Maebashi Institute of Technology, 460-1 Kamisadori, Maebashi-City, Gunma. 371-0816, Japan. E-mail: koba@maebashi-it.ac.jp Fields of interest : Wasan (Pre-modern Japanese mathematics), the History of Science in East Asia. Awards: Kuwabara Award, 1987. Publications: What was known about the polyhedra in ancient China and Edo Japan?, In: Hargittai, I. and Laurent, T. C., eds., Symmetry 2000 Part 1, London: Portland Press, 2002; What kind of mathematics and terminology was transmitted into 18th-century Japan from China?, Historia Scientiarum , Vol. 12, No.1, 2002.
Abstract: The mathematics developed in Japan during the Edo Period (1603-1867) is called Wasan (Japanese mathematics). Wasan has its roots ancient Chinese mathematics. The concept of angle, however, did not grow up either of ancient Chinese and Japanese mathematics. In the sixteenth century Jesuit missionaries as a part of their propagation activity bought Western scientific knowledge and technology into Ming China which still had been maintaining traditional academic system since ancient time. At that time Western trigonometry was introduced into China, and encounter of different mathematics thought made to mean an opening of new intelligence activities in the history of East Asian mathematics. In 1720 the eighth Shogun Tokugawa Yoshimune permitted the import of Chinese books on Western Calendrical Calculations from Qing China. From this time, openly, Japanese scientists could make to study the Western scientific and technology. It means indirect acceptance of Western knowledge

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