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Wang Yuan (mathematician)

Wang Yuan (mathematician) is a mathematics topic covered in the lgStudy science library. This page brings together a partial reference excerpt, illustrations, worked examples, real-world applications and a short study plan, so you can understand Wang Yuan (mathematician) rather than just read about it. In short: Wang Yuan (Chinese: 王元; pinyin: Wáng Yuán; 29 April 1930 – 14 May 2021) was a Chinese mathematician and writer known for his contributions to the Goldbach conjecture. He was a president of the Chinese Mathematical Society and head of the Institute of Mathematics, Chinese Academy of Sciences.

Wang Yuan (mathematician) — main illustration
Wang Yuan (mathematician) — illustration

Key takeaways

  • Wang Yuan (mathematician) belongs to mathematics; place it in that map before memorising details.
  • Learn the definition first, then one example that makes the definition concrete.
  • Connect Wang Yuan (mathematician) to a quantity you can measure, compute or draw — that is where exam questions come from.
  • Reproduce the core statement of Wang Yuan (mathematician) from memory before moving on to harder problems.

Reference excerpt

Wang Yuan (Chinese: 王元; pinyin: Wáng Yuán; 29 April 1930 – 14 May 2021) was a Chinese mathematician and writer known for his contributions to the Goldbach conjecture. He was a president of the Chinese Mathematical Society and head of the Institute of Mathematics, Chinese Academy of Sciences.

Life Wang was born in Lanxi, Zhejiang, China. 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 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. 1946–1949, Wang's father was the Acting Director of the institute. In 1949, Wang separated with his father, who went to Taiwan. Wang entered Yingshi University (later merged into National Chekiang University, now Zhejiang University) in Hangzhou, and graduated from the Department of Mathematics in 1952. He then earned a position in the Institute of Mathematics, Academia Sinica. Hua Luogeng was his academic adviser and one of his closest collaborators. In 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. In 1978, Wang was back to his professorship, in the Institute of Mathematics at the Chinese Academy of Sciences. In 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 visited the Institute of Advanced Studies and taught at the University of Colorado. Wang advised Shou-Wu Zhang when he studied at the Chinese Academy of Sciences for his master's degree from 1983 to 1986. Wang is the father of Chinese American computer scientist James Z. Wang.

Research

Number theory Wang's research focused on the area of number theory, especially in the Goldbach conjecture, through sieve theory and the Hardy-Littlewood circle method. He obtained a series of important results in the field of number theory.

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.

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. Wang, Yuan (2005). Wang, Yuan (ed.). Selected papers of Wang Yuan. Singapore: World Scientific. ISBN 9812561978. OCLC 717731203. 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. Archived from the original on 5 March 2017. Retrieved 15 September 2016.

Citations

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. 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.

External links Wang Yuan biography Brief Introduction of CMS (Center of Mathematical Sciences) Archived 23 September 2005 at the Wayback Machine Yuan Wang's Home Page, Goldbach Conjecture with photos Wang Yuan at the Mathematics Genealogy Project Wang Yuan, from the website of Chinese Academy of Science (in Chinese) Wng Yuan's story, from Sina.com (in Chinese)

Worked examples

Example 1 — a first encounter with Wang Yuan (mathematician)

Start with the simplest possible case. Write down what Wang Yuan (mathematician) claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In mathematics, the smallest case is usually a single object, a single equation or a single measurement. Check that every symbol or term in your sentence has a meaning in that case.

Example 2 — changing one variable

Take the situation from Example 1 and change exactly one quantity: double it, halve it, or set it to zero. Predict what should happen to Wang Yuan (mathematician) before you calculate. Comparing your prediction with the result is the fastest way to find out whether you understand the idea or only the words.

Example 3 — an exam-style question

Typical questions about Wang Yuan (mathematician) ask you to (a) state it precisely, (b) apply it to given data, and (c) explain a limitation. Practise writing all three answers in under five minutes; the third part is what separates a full-mark answer from an average one.

Applications of Wang Yuan (mathematician)

In research
Wang Yuan (mathematician) appears in mathematics research whenever the underlying quantities have to be modelled precisely. Papers usually cite it as a starting assumption and then explore where it breaks down.
In technology and industry
Engineering practice reuses Wang Yuan (mathematician) in design rules, simulations and safety margins. Knowing the idea lets you read a specification sheet and understand why the numbers look the way they do.
In the classroom
Wang Yuan (mathematician) is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1930 births, 2021 deaths, 20th-century Chinese mathematicians, so understanding it makes those chapters shorter.
In everyday life
Look for Wang Yuan (mathematician) outside the textbook — in sport, cooking, traffic, electronics or the sky above you. An example you found yourself is remembered far longer than one you were given.
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How to study Wang Yuan (mathematician) in 20 minutes

  1. Read the reference excerpt below once, without taking notes.
  2. Close the page and write down what Wang Yuan (mathematician) means in your own words.
  3. Compare your version with the excerpt and mark what you missed.
  4. Work through the three examples above with pen and paper.
  5. Explain Wang Yuan (mathematician) out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Wang Yuan (mathematician) in simple terms?

Wang Yuan (Chinese: 王元; pinyin: Wáng Yuán; 29 April 1930 – 14 May 2021) was a Chinese mathematician and writer known for his contributions to the Goldbach conjecture. He was a president of the Chinese Mathematical Society and head of the Institute of Mathematics, Chinese Academy of Sciences.

Why does Wang Yuan (mathematician) matter?

Because it connects several mathematics ideas at once: it gives you a definition you can apply, a quantity you can calculate, and a way to check whether a result is plausible.

How should I study Wang Yuan (mathematician)?

Read the excerpt, restate it from memory, then work through the examples and applications listed on this page. The five-step study plan above takes about twenty minutes.

What does this page cover?

It gives you a compact reference excerpt plus original lgStudy explanations, examples, applications and study material on Wang Yuan (mathematician).

Tags

  • 1930 births
  • 2021 deaths
  • 20th-century Chinese mathematicians
  • 21st-century Chinese mathematicians
  • Mathematicians from Zhejiang
  • Members of the Chinese Academy of Sciences
  • Number theorists
  • People from Lanxi, Zhejiang
  • Presidents of the Chinese Mathematical Society
  • Scientists from Jinhua
  • Victims of the Cultural Revolution
  • Zhejiang University alumni

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