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         Japanese Mathematicians:     more detail
  1. Japanese Mathematicians: Heisuke Hironaka, Goro Shimura, Teiji Takagi, Seki Kowa, Toshikazu Sunada, Yozo Matsushima, Kunihiko Kodaira
  2. The Contributions of Japanese Mathematicians since 1950: An entry from Gale's <i>Science and Its Times</i> by P. Andrew Karam, 2001
  3. Mikio Sato, A Great Japanese Mathematician of the Twentieth Century by Raymond Chan, 1999-11-01
  4. Keep A Straight Face Of Mathematicians (KODANSHA NOBERUSU) Japanese Language Book by Hirotsugu Mori, 1996
  5. A Young American Mathematician (Shincho Paperback) Japanese Language Book by Masahiko Huzihara, 1981
  6. Sugaku no saiten: Kokusaisugakushakaigi (Japanese Edition) by D.J. Albers, G.L. Alexanderson, et all 1990-01-01

21. Since Its Founding In 1876 As The First Graduate School In The
in 1954. Since the late 1950s, the department has entertained a steadyflow of young japanese mathematicians and students. A list
http://mathnt.mat.jhu.edu/jami/background.htm
Since its founding in 1876 as the first graduate school in the United States, the Johns Hopkins University has had an international character and attracted young scholars and students from Japan. We are proud to mention Inazo Nitobe among them, who studied at Johns Hopkins for three years and whose friendship with Woodrow Wilson during that time is well known. The goal of JAMI is to foster friendly relationships between Japan and the United States; its academic purpose is to formalize and extend the long-existing relationship between the department and the Japanese mathematical community, and to use that relationship more generally to further mathematical interactions between the two countries.

22. Math Forum - Ask Dr. Math Archives: High School History/Biography
Mathematics 02/15/2001 Can you give me some information on Japanese mathematics,both past and present, and the names of some famous japanese mathematicians?
http://mathforum.org/library/drmath/sets/high_history.html?start_at=81

23. Math Forum - Ask Dr. Math
Can you give me some information on Japanese mathematics, both past andpresent, and the names of some famous japanese mathematicians?
http://mathforum.org/library/drmath/view/52583.html

Associated Topics
Dr. Math Home Search Dr. Math
Japanese Mathematics
Date: 02/15/2001 at 15:03:53 From: Kimberly Resendez Subject: Japanese Mathematics I am a pre-service teacher at Tarleton State University, and I have to do a presentation on Japanese mathematics. Do you know of any resources that I can use to find information on my topic? I looked in the archives and found an article about Kumon math, but I would like to have more information on the general subject of Japanese mathematics. Can you offer any suggestions or ideas? Date: 02/17/2001 at 09:42:11 From: Doctor Jordi Subject: Re: Japanese Mathematics Hello, Kimberly. Thanks for writing to Dr. Math. I'm not really sure what you want to know about Japanese mathematics. If you want to know about modern teaching trends there, the article you already found is a great starting point and has numerous references itself which must be in turn cross-referenced themselves. It's here: Kumon Math http://mathforum.org/dr.math/problems/boyer3.24.96.html If you want to know about the history of mathematics in Japan, here is a page from the MacTutor Math History archives that may help you: References for Takakazu Seki http://www-groups.dcs.st-andrews.ac.uk/~history/References/Seki.html

24. Asia
Mathematicians of Japan This page is a listing of japanese mathematiciansof the 18th century. From the History of Mathematics site
http://www.history1700s.com/page1040.shtml
18th Century History : The starting place to find information about the 18th century.
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An Abridged History of Central Asia This is an online abridged history of Central Asia. It is a framed site, so be sure you have the latest browsers to view it. The Choson Dynasty From the University of California, Berkeley, comes a gateway for the study of Korea. Kings of the Choson Dynasty Take a look at this list of the Kings of the Choson Dynasty of Korea. Western Powers Arrive First Modern Period This describes the western trade with China, in the late 18th to early 19th centuries.
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China Unique This informative site is a guide about China. It includes information on the history and culture of this country. Emergence of Modern China This section of the history of China discusses the emergence of Modern China.

25. Nature Publishing Group
As long ago as 1954, two japanese mathematicians, Yutaka Taniyama andGoro Shimura, had suggested that these two areas were connected.
http://www.nature.com/cgi-taf/DynaPage.taf?file=/nature/journal/v387/n6636/full/

26. Math Digest
In fact, many sangaku problems required calculus, and japanese mathematicians developeda crude form of it in the late 1600s, independently from their Western
http://www.ams.org/new-in-math/mathdigest/199811-temple.html
Mathematical Digest
Short Summaries of Articles about Mathematics
in the Popular Press
"Japanese Temple Geometry," by Tony Rothman, with cooperation of Hidetoshi Fukagawa. Scientific American , May 1998. During Japan's period of national seclusion (1639-1854) there arose a tradition known as sangaku , Japanese temple geometry. Under the roofs of their religious shrines and temples, sangaku devotees would hang brightly colored tablets engraved with solutions to geometry problems. While many of these problems could be solved with ordinary Eulidean geometry, others demanded more complicated mathematics. In fact, many sangaku problems required calculus, and Japanese mathematicians developed a crude form of it in the late 1600s, independently from their Western peers. The most difficult exercises are nearly impossible; today, modern geometers would use advanced techniques such as affine transformations to tackle them. While mathematically interesting, sangaku's cultural aspects could be even more intriguing. No one knows who began the tradition or why, but it is clear that followers created these tablets as acts of religious homage, and as challenges to other worshippers. Sangaku stands out as a distinctive Japanese tradition, and the tablets that have survived are regarded as elegant, beautiful works of art.

27. In Memory Of Kiiti Morita
And he left a legacy for japanese mathematicians, in particular, where it is estimatedthat more than half of the Japanese topologists today are directly or
http://www.ams.org/development/mor-jhe.html
In Memory of Kiiti Morita John Ewing August 4, 1998
We are here today to honor a respected and eminent mathematician, Kiiti Morita, who passed away exactly three years ago, on August 4, 1995. I'd like to welcome our guests today, Professor Morita's widow, Tomiko; his son, Yasuhiro; his wife, Hiroko; and their son, Shiego. They flew here, some 6,740 miles (that's 10,871 kilometers!) to be with us today as we honor Professor Morita and dedicate our front garden area in his name. It is a strange feeling for me to be here today, saying these words. Before coming to the AMS, my field as a mathematician was Algebraic Topology. Professor Morita was a world class mathematician, who combined profound work in topology with brilliant insights into algebra. I grew up as a mathematician learning the phrase "Morita equivalence", a term that is everywhere in algebraic topology; I learned the concept long before I ever associated it to a person, the man who invented the idea in 1958. I learned of his other work in topology in a series of lectures while I was still a graduate student, but I never knew anything about the man behind those ideas. And having read more about the man, I wish I had known him, and not just his ideas. Looking at his long and distinguished career in mathematics, I am reminded of Shakespeare's famous quote:

28. Interlude: Old Books, National Learning And Other -isms
You occasionally hear about how some japanese mathematicians inventeda calculus independently of Europe and this is true. However
http://www.openhistory.org/jhdp/intro/node26.html
Next: My Koku is Bigger Up: The Tokugawa Period Previous: Ieyasu's grandson Iemitsu Contents Index
Interlude: Old Books, National Learning and other -isms
As I mentioned before, some samurai had a lot of time to sit around and think. To a small degree, the government encouraged it - as long as you were thinking of ways to buttress Tokugawa power. Early on, Ieyasu made use of Shinto, Buddhism, and Confucianism to legitimize his rule, but as time went by, he made greater use of Confucianism. We dont need to get into all the various schools of Confucianist thought but we do know that there was not just one school and that several of these different ones were influential during the Tokugawa period. The governments official favorite was the Chu Hsi school, which placed great emphasis on duty and acting according to your station in life. Not too hard to see why the Tokugawa family liked it; Chu Hsi Confucianism was very conservative. A rival school was the Wang Yang-ming (cool name!) school. This school stressed intuitive knowledge of right and wrong and personal responsibility. A famous, though possibly bogus, Wang Yang-ming saying is "to know and not to act is not to know." Since morality is subjective, if you think something is wrong, it is and you must act on that knowledge. Subversive thinking this. This school greatly influenced the men who destroyed the Tokugawa regime in the 1860s.
Next: My Koku is Bigger Up: The Tokugawa Period Previous: Ieyasu's grandson Iemitsu Contents Index

29. EHP: Volume 32, 1979: JAPAN/USA Biostatistics; Statistics And The Environment
Purchase. Role of mathematics in cancer research attitudes and trainingof japanese mathematicians Kudo A p. 5 Download Purchase.
http://ehpnet1.niehs.nih.gov/docs/1979/032/toc.html
Publications
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Environmental Health Perspectives
Volume 32, 1979: JAPAN/USA Biostatistics; Statistics and the Environment - Subscribers Only
- Available for Purchase Note:
Articles are in PDF format View Your Shopping Cart Table of Contents Biostatistics in the United States and Japan
Blot-WJ; Schneiderman-MA
p. 3
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Purchase Role of mathematics in cancer research: attitudes and training of Japanese mathematicians
Kudo A
p. 5
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Purchase Cancer epidemiology in Japan
Hirayama-T p. 11 Download Purchase Statistics and biomedical research Miller-RW p. 17 Download Purchase Role of mathematical concepts in cancer research Yamamoto-S p. 19 Download Purchase Statistics in Japanese universities Ito-PK p. 21 Download Purchase Animal experimentation and its relevance to man Hoel-DG p. 25

30. Journal [2001 Mar/Apr - Indigenous Japanese Mathematics, Wasan (by : Murata Tamo
In fact, until quite recently there was a tendency among many japanese mathematiciansto study pure mathematics and other mathematical sciences separately, and
http://www.jef.or.jp/en/jti/200103_017.html
What's JEF JEF JAPANESE PAGE [NEW!] JEF's 20th Anniversary [NEW!] PURPOSE OF THE FOUNDATION THE BOARD OF GOVERNANCE CONTACT INFORMATION Journal of Japanese Trade and Industry Latest Issue [NEW!] Back Number... 2003 Mar/Apr [NEW] 2003 Jan/Feb 2002 Nov/Dec 2002 Sep/Oct 2002 Jul/Aug 2002 May/Jun 2002 Mar/Apr 2002 Jan/Feb 2001 Nov/Dec 2001 Sep/Oct 2001 Jul/Aug 2001 May/Jun 2001 Mar/Apr 2001 Jan/Feb 2000 Nov/Dec 2000 Sep/Oct 2000 Jul/Aug 2000 May/Jun 2000 Mar/Apr 2000 Jan/Feb 1999 Nov/Dec 1999 Sep/Oct 1999 Jul/Aug 1999 May/Jun 1999 Mar/Apr 1999 Jan/Feb 1998 Nov/Dec 1998 Sep/Oct 1998 Jul/Aug 1998 May/Jun 1998 Mar/Apr 1998 Jan/Feb 1997 Nov/Dec 1997 Sep/Oct 1997 Jul/Aug 1997 May/Jun 1997 Mar/Apr 1997 Jan/Feb 1996 Nov/Dec 1996 Sep/Oct 1996 Jul/Aug 1996 May/Jun 1996 Mar/Apr 1996 Jan/Feb Readers' Forum [NEW!] Journal in Print [NEW!] JEF's Activities Conferences,Forums,etc... [NEW!] Others Other Informations. Links List of JEF related URL links. Search Home
2001 Mar/Apr

Article Selector... 2001 Mar/Apr [INDEX] Revitalizing Japan over the Next Decade Mori Reorganizes Cabinet but Faces Uncertain Future Basic IT Law Enacted Portending the 21st Century Globalization and Japanese Identity Science, Technology, and Society

31. Assign115/#5B/98
Seventeenth century japanese mathematicians may have estimated circle area, andhence p, using the method illustrated in Figure 2 (Beckmann, 125127).
http://newton.uor.edu/facultyfolder/beery/math115/m115_activ_est_pi.htm
Archimedes' Estimate of Activity The formula On the Measurement of the Circle, Proposition 3. The ratio of the circumference of any circle to its diameter is less than 3 1/7 but greater than 3 10/71 (Dunham, 97; Katz, 109). p p p was the first in history that was correct to two places after the decimal point!
p C is the circumference of the circle, r is its radius, and P insc and P circ are the perimeters of the inscribed and circumscribed polygons, respectively, then P insc C P circ , or P insc p r P circ , so that P insc r p P circ If we take the radius of the circle to be 1 ( r = 1), then P insc p P circ Archimedes started with inscribed and circumscribed regular hexagons. Since each of the six sides of a regular hexagon inscribed in a circle of radius 1 has length 1, then P insc = 6 in this case (see Problem 1a). Likewise, since each side of a regular hexagon circumscribed about a circle of radius 1 has length , then P circ (see Problem 1b). Hence, P insc P circ /2 yields , or Archimedes then doubled the number of sides of each polygon to 12, obtaining an inscribed regular dodecagon of perimeter P insc (see Problem 1c), and a circumscribed regular dodecagon of perimeter

32. Yasunori Kanda - ResearchIndex Document Query
by two japanese mathematicians, Yuji Nakano and Yasunori Okabe, to investigatea question related to the www.math.uu.se/research/pub/Strandell1.pdf
http://citeseer.nj.nec.com/cs?q=Yasunori Kanda

33. Editorial 40
decades. The name itself was coined by the japanese mathematicians E.Bannai and T. Ito who published a book with this title in 1984.
http://www.mathe2.uni-bayreuth.de/match/vol40/editorial40.html
Editorial
Beer-Sheva, October 1999

34. Warwick Mathematics
An informal 2 day workshop on Kleinian groups and their parameter spaces, on theoccasion of the visit of a group of japanese mathematicians from NaraOsaka to
http://www.maths.warwick.ac.uk/research/2002_2003/2002_2003_workshops/2002_2003_
MATHEMATICS INSTITUTE A-Z Index Search Workshop 2002/2003 General Admissions Undergraduate Postgraduate ... Maths Home
KLEINIAN GROUPS
9th and 10th September 2002
Organisers: Y-E. Choi, M. Sakuma, C. Series. An informal 2 day workshop on Kleinian groups and their parameter spaces, on the occasion of the visit of a group of Japanese mathematicians from Nara-Osaka to Warwick. Speakers will include H Akiyoshi (Osaka), Y-E Choi (Warwick), K Ichihara (Nara), M.Sakuma (Warwick/ Osaka), C Series (Warwick), Y Yamashita (Nara), M Wada (Nara). A few slots are still available for other speakers. If you would like to give a talk please contact Young-Eun Choi, choi@maths.warwick.ac.uk with proposed title. Students/postdocs are especially encouraged and 30 minutes talks are possible. Further details to be circulated later. Limited funds will be available to help with expenses for mathematicians based in the UK. If you would like to request such funding or would like help organising accomodation please contact Yvonne Collins, yvonne@maths.warwick.ac.uk

35. Zimaths: Fermat's Last Theorem
But progress was made, notably by the japanese mathematicians Yutaka Taniyama (whokilled himself in 1958) and Goro Shimura (who's a professor at Princeton
http://www.uz.ac.zw/science/maths/zimaths/flt.htm
Fermat's Last Theorem
by Dino Surendran
Mathematians do not often make it into the world's press. But in 1993, Andrew Wiles, a British maths professor at Princeton University, hit the headlines. His feat? Showing that there are no integer solutions to the equation x n + y n = z n when n is an integer greater than 2. In other words, he had proved Fermat's Last Theorem This problem was written down around 1637 by Pierre de Fermat, a French lawyer in Toulouse who was also a prominent amateur mathematician. He was reading a textbook when a thought occurred to him. He decided to write it down before he forgot it - and the nearest piece of paper was the margin of the said textbook: ``On the other hand it is impossible for a cube to be written as a sum of two cubes or a fourth power to be written as the sum of two fourth powers or in general, for any number which is a power greater than the second to be written as a sum of two like powers. I have a truly marvellous demonstration of this proposition which this margin is too large to contain.'' Now, it is suspected that he later found that his proof was incorrect, since he only ever

36. ALCCAL.html
Algebraic Combinatorics and Computer Algebra Summer School. Varna, Bulgaria; 314 September 2000.Category Science Math Combinatorics Events Past Events...... ago. The name itself came from the japanese mathematicians E. Bannai T. Ito who published a book with such title in 1984. Roughly
http://www.math.bas.bg/~ALCCAL/
Summer School ALCCAL' 2000
"ALGEBRAIC COMBINATORICS AND
COMPUTER ALGEBRA"
September 3 - 14, 2000, Varna, BULGARIA First Announcement
Place of the ALCCAL'2000 Summer School
Main idea

Scientific Community

Structure of the meeting

Method of organization
...
Important dates

Main idea We are organizing a summer school with the above title in Bulgaria on the coast of Black Sea from September 3 to September 14, 2000. The duration of the summer school will be 12 days, including 8 working days, 2 excursion days and days of arrival and departure. Sponsorship was not sought for the meeting and so we are unable to give any financial support to the participants. Everything is based on the enthusiasm of the organizers and our guests. In a sense the idea of this meeting is similar to the idea of the First International Conference on Algebraic Combinatorics in Vladimir, USSR, August 1991. We think that the present time in Bulgaria is most appropriate: this country is striving to become a major tourist and recreational attraction. Thus we have been able to find reasonable prices at a high level of service.
Scientific community
Roughly speaking, algebraic combinatorics deals with highly symmetrical combinatorial objects (graphs, designs, codes etc.). What "high symmetry" means can be rigorously formulated in terms of the action of the automorphism group of the object. One of the most beneficial ways to consider this is that the requirement of transitivity (primitivity) of the action of a certain group is substituted by weaker assumption of combinatorial regularity. For example, parallel consideration and classification of rank 3 graphs and strongly regular graphs is one of the areas in algebraic combinatorics. The techniques used in algebraic combinatorics is in a sense an amalgamation of methods from group theory, linear algebra, graph theory, number theory and representation theory. Extensive use of computers and especially of computer algebra packages is an essential feature of this area.

37. ”—ƒjƒ…[ƒX‚Q‚O‚O1|‚Q
country. Cooperating with japanese mathematicians was very interestingand stimulating. I want to express my gratitude to Prof.
http://kyokan.ms.u-tokyo.ac.jp/~surinews/news2001-2.html
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38. Fermat's Last Theorem : Unlocking The Secret Of An Ancient Mathematical Problem
17thcentury French scholar Fermat, the thousands who sought the answer and failed,the crucial 1955 speculations by two japanese mathematicians; reaches the
http://hallmathematics.com/pure_mathematics/246.shtml
Fermat's Last Theorem : Unlocking the Secret of an Ancient Mathematical Problem
Home Mathematics Pure Mathematics
by Amir D. Aczel
See More Details

Paperback - 160 pages Reprint edition (October 1997)
Delacorte Trade Paper; ISBN: 0385319460 ; Dimensions (in inches): 0.45 x 7.46 x 5.01
Other Editions: Hardcover
Reviews
Editorial Reviews
Amazon.com
Fermat's Last Theorem,
Amir Aczel recounts the history of mathematical inquiry questing for a formal proof of this statement, gradually building up a layman's description of the techniques that were at last used to prove Fermat's Last Theorem. Fermat's Last Theorem lacks technical depth but offers a fascinating insight into the personalities and egos of the mathematicians who paved the way to its proof. This text refers to the hardcover edition of this title Amazon.com
Mathematicians don't often make the news, but in 1995 Andrew Wiles of Princeton became the subject of feature stories around the world. He had solved one of the greatest math problems ever. Fermat's Last Theorem makes the deceptively simple claim that while the square of a whole number can be broken down into the squares of other whole numbers (e.g. 25=16+9), the same cannot be done with cubes or higher powers. For more than three centuries, nobody could prove this claim. Wiles toiled for seven... Born in 1601, Pierre de Fermat lived a quiet life as a civil servant in Toulouse, France. In his spare time, however, Fermat dabbled in mathematics, and somehow managed to become one of the great mathematical theorists of his century. Around 1637 he scribbled a marginal note in one of his books. In it, he stated that he had solved a celebrated number theory problem: "I have discovered a truly marvelous proof of this, which, however, the margin is not large enough to contain."

39. Title
University of Berkeley, showed that Fermat would follow from a proof of a conjectureabout elliptic curves named after two japanese mathematicians Taniyama and
http://www.maths.ox.ac.uk/~dusautoy/2soft/fermat.htm
1."My lady, take Fermat into the music room. There will be an extra spoonful of jam if you find his proof." Tom Stoppard in Arcadia is just one of many who have helped to immortalise Fermat's Last Theorem as the Greatest Unsolved Problem of Mathematics. But last week in Jerusalem, it was Andrew Wiles, and not Arcadia's Thomassina, who was claiming that spoonful of jam. His solution of Fermat's Last Theorem was rewarded in the Knesset with one of mathematics highest accolades, the Wolf prize worth $100,000. 2.But with its solution, have we lost the magic that this puzzle has generated over the centuries? Mathematics has benefited so much from the adoption of Fermat into the public imagination as Mathematics' Holy Grail. Fermat is probably responsible for more school children going into mathematics than any other problem. Wiles himself explained how "here was a problem that I, a 10-year-old, could understand, but none of the great mathematicians had been able to resolve. From that moment I tried to solve it myself." 3.Could anything possibly replace Fermat's Last Theorem as Mathematics' great unsolved problem. Most people believe that mathematical research is long division to a lot of decimal places. With the advent of the computer, surely mathematics must have all been worked out by now. So is that the end of Mathematics?

40. Math Education: (Fwd) 'popularizations Of Mathematics'
named Andrew Wiles made headlines around the world by using an idea developed byWeil and two japanese mathematicians to solve the most famous mathematical
http://www.math.yorku.ca/Who/Faculty/Monette/MathEd/0080.html
(Fwd) 'popularizations of mathematics'
Georges Monette ( gmonette@YorkU.CA
Sat, 13 Mar 1999 16:17:26 -0500

X-X-Sender: nuri@postoffice.yorku.ca
Date: Sat, 13 Mar 1999 10:54:40 -0500
Subject: 'popularizations of mathematics'
To: YUFA-L@YORKU.CA
NYT
March 13, 1999
Math Emerges Blinking Into the
Glare of the Pop World
By PAUL LEWIS PRINCETON, N.J. When more than a hundred mathematicians from around the world gathered at the Institute for Advanced Studies here recently to discuss the work of the French-born mathematician Andre Weil, no one even mentioned his one achievement that has affected tens of thousands of people, most of whom have never heard of him. Weil, who died in August 1998, was possibly one of the greatest mathematicians of his age, making fundamental discoveries in number theory, laying the basis for algebraic

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