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Wang Yuan (mathematician)

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Wang Yuan
Born1930 (age 93–94)
Lanxi County, Jinhua, Zhejiang Province
Nationality China
Alma materChinese Academy of Science
Known forNumber theory (additive, algebraic, and analytic), History of mathematics, Numerical analysis, Design of experiments
Scientific career
FieldsMathematics
InstitutionsChinese Academy of Science
Doctoral advisorHua Luogeng

Template:Chinese name Wang Yuan (Chinese: 王元, Pinyin: Wáng Yuán) (born 1930), or Yuan Wang, a member of Chinese Academy of Science, is a Chinese mathematician, educator and popular science writer. He is a former president of the Chinese Mathematical Society, and the head of the Institute of Mathematics, Chinese Academy of Sciences.[1]

Life

Wang was born in Lanxi (or Lanhsi) County, Jinhua, Zhejiang Province. His father was a magistrate in the local government. Because of the Japanese invasion (the Second Sino-Japanese War), Wang's family had to move away from Zhejiang Province, and finally arrived at the southeast city Kunming in Yunnan Province in 1938. 1942, Wang's father rose to the position of Chief Secretary of the Academia Sinica. 1946 after the Japanese surrender, his family moved to the capital city, Nanjing.

Wang entered Yingshi University (later merged into National Chekiang University) (Zhejiang University) in Hangzhou, and graduated from the Department of Mathematics, Zhejiang University in 1952. He then earned a position in the Institute of Mathematics, Academia Sinica. Hua Loo Keng (or Hua luogeng) is considered as his main academic advisor and one of his closest collaborators. 1946-1949, he was the Acting Director of the institute. In 1949, Wang separated with his father, who went to Taiwan.

1966, Wang's career was interrupted by the Cultural Revolution. He was unable to work for more than five years, until 1972. During this time, Wang was harassed and put through interrogation.

1978, Wang was back to his professorship, in the Institute of Mathematics, Chinese Academy of Science. 1980, he was elected to be a member of Chinese Academy of Science. 1988-1992, he was the president of the Chinese Mathematical Society. Wang also worked in the United States for a period of time. He has visited the Institute of Advanced Studies and taught at University of Colorado.

Research

Wang's research focuses on the area of number theory, especially in the Goldbach Conjecture. Sieve methods and circle methods are often applied by him. He obtained a series of important results in the field of number theory.[2][3]

Applications: Numerical integration and statistics

With Hua Luogeng (华罗庚, alternatively Hua Loo-Keng), he developed high-dimensional combinatorial designs for numerical integration on the unit cube. Their work came to the attention of the statistician Kai-Tai Fang, who realized that their results could be used in the design of experiments. In particular, their results could be used to investigate interaction, for example, in factorial experiments and response surface methodology. Collaborating with Fang led to uniform designs, which have been used also in computer simulations.[4][5][6][7]

Books

  • Wang, Yuan (1991). Diophantine equations and inequalities in algebraic number fields. Berlin: Springer-Verlag. doi:10.1007/978-3-642-58171-7. ISBN 9783642634895. OCLC 851809136. {{cite book}}: Invalid |ref=harv (help)
  • Wang, Yuan (2005). Wang, Yuan (ed.). Selected papers of Wang Yuan. Singapore: World Scientific. ISBN 9812561978. OCLC 717731203. {{cite book}}: Unknown parameter |editorlink= ignored (|editor-link= suggested) (help)
  • Fang, Kai-Tai; Wang, Yuan (1993). Number-theoretic methods in statistics. Chapman and Hall Monographs on Statistics and Applied Probability. Vol. 51. CRC Press. ISBN 0412465205. OCLC 246555560. {{cite book}}: Invalid |ref=harv (help)

Citations

  1. ^ http://forum.netbig.com/bbscs/read.bbscs?bid=7&id=6656662&page=2
  2. ^ http://www-groups.dcs.st-and.ac.uk/~history/Biographies/Wang_Yuan.html
  3. ^ http://www.cas.cn/html/Dir/2002/12/23/4499.htm
  4. ^ Loie (2005)
  5. ^ Fang, Kai-Tai; Wang, Yuan; Bentler, Peter M. (1994). "Some applications of number-theoretic methods in statistics". Statistical Science. 9 (3): 416–428. doi:10.1214/ss/1177010392. {{cite journal}}: Invalid |ref=harv (help)
  6. ^ Santner, Williams & Notz (2003, Chapter 5.4 "Uniform designs", 145–148): Santner, Thomas J.; Williams, Brian J.; Notz, William I. (2003). The design and analysis of computer experiments. Springer Series in Statistics (2013 printing ed.). Springer-Verlag. ISBN 1475737998. {{cite book}}: Invalid |ref=harv (help)
  7. ^ Li & Yuan (2005, pp. xi and xx–xxi "7) Number-theoretic methods in statistics"):

References

  • Li, Wenlin; Yuan, Xiangdong (2005). "Wang Yuan: A brief outline of his life and works". In Wang, Yuan (ed.). Selected papers of Wang Yuan. Singapore: World Scientific. pp. xi–xxii. doi:10.1142/9789812701190_fmatter. ISBN 9812561978. OCLC 717731203. {{cite book}}: Cite has empty unknown parameter: |1= (help); Invalid |ref=harv (help); Unknown parameter |editorlink= ignored (|editor-link= suggested) (help)
  • Loie, Agnes W. L. (2005). "A conversation with Kai-Tai Fang". In Fan, Jianqing; Li, Gang (eds.). Contemporary multivariate analysis and design of experiments: In celebration of Professor Kai-Tai Fang's 65th Birthday. Series in biostatistics. Vol. 2. New Jersey and Hong Kong: World Scientific. pp. 1–22. ISBN 981-256-120-X. OCLC 63193398. {{cite book}}: Invalid |ref=harv (help)
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