astronomy

Kiyoshi Oka

Kiyoshi Oka is a astronomy 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 Kiyoshi Oka rather than just read about it. In short: Kiyoshi Oka (岡潔, Oka Kiyoshi; April 19, 1901 – March 1, 1978) was a Japanese mathematician who did fundamental work in the theory of several complex variables. Biography Oka was born in Osaka.

Key takeaways

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

Reference excerpt

Kiyoshi Oka (岡潔, Oka Kiyoshi; April 19, 1901 – March 1, 1978) was a Japanese mathematician who did fundamental work in the theory of several complex variables.

Biography

Oka was born in Osaka. He went to Kyoto Imperial University in 1919, turning to mathematics in 1923 and graduating in 1924. He was in Paris for three years from 1929, returning to Hiroshima University. He published solutions to the first and second Cousin problems, and work on domains of holomorphy, in the period 1936–1940. He received his Doctor of Science degree from Kyoto Imperial University in 1940. These were later taken up by Henri Cartan and his school, playing a basic role in the development of sheaf theory. The Oka–Weil theorem is due to a work of André Weil in 1935 and Oka's work in 1937. Oka continued to work in the field, and proved Oka's coherence theorem in 1950. Oka's lemma is also named after him. He was a professor at Nara Women's University from 1949 to retirement at 1964. He received many honours in Japan.

Honors 1951 Japan Academy Prize 1954 Asahi Prize 1960 Order of Culture 1973 Order of the Sacred Treasure, 1st class

Bibliography KIYOSHI OKA COLLECTED PAPERS Oka, Kiyoshi (1961). Sur les fonctions analytiques de plusieurs variables (in French). Tokyo, Japan: Iwanami Shoten. p. 234. - Includes bibliographical references. Oka, Kiyoshi (1983). Sur les fonctions analytiques de plusieurs variables (in French) (Nouv. ed. augmentee. ed.). Tokyo, Japan: Iwanami. p. 246. Oka, Kiyoshi (1984). Reinhold Remmert (ed.). Kiyoshi Oka Collected Papers. Translated by Raghavan Narasimhan. Commentary: Henri Cartan. Springer-Verlag. p. 223. ISBN 0-387-13240-6.

Selected papers (Sur les fonctions analytiques de plusieurs variables) Oka, Kiyoshi (1936). "Domaines convexes par rapport aux fonctions rationnelles". Journal of Science of the Hiroshima University. 6: 245–255. doi:10.32917/hmj/1558749869. PDF TeX Oka, Kiyoshi (1937). "Domaines d'holomorphie". Journal of Science of the Hiroshima University. 7: 115–130. doi:10.32917/hmj/1558576819. PDF TeX. Oka, Kiyoshi (1939). "Deuxième problème de Cousin". Journal of Science of the Hiroshima University. 9: 7–19. doi:10.32917/hmj/1558490525. PDF TeX. Oka, Kiyoshi (1941). "Domaines d'holomorphie et domaines rationnellement convexes". Japanese Journal of Mathematics. 17: 517–521. doi:10.4099/jjm1924.17.0_517. PDF TeX. Oka, Kiyoshi (1941). "L'intégrale de Cauchy". Japanese Journal of Mathematics. 17: 523–531. PDF TeX. Oka, Kiyoshi (1942). "Domaines pseudoconvexes". Tôhoku Mathematical Journal. 49: 15–52. PDF TeX. Oka, Kiyoshi (1950). "Sur quelques notions arithmétiques". Bulletin de la Société Mathématique de France. 78: 1–27. doi:10.24033/bsmf.1408. PDF TeX. Oka, Kiyoshi (1951). "Sur les Fonctions Analytiques de Plusieurs Variables, VIII--Lemme Fondamental". Journal of the Mathematical Society of Japan. 3: 204–214, pp. 259–278. doi:10.2969/jmsj/00310204. PDF TeX. Oka, Kiyoshi (1953). "Domaines finis sans point critique intérieur". Japanese Journal of Mathematics. 27: 97–155. doi:10.4099/jjm1924.23.0_97. PDF TeX. Oka, Kiyoshi (1962). "Une mode nouvelle engendrant les domaines pseudoconvexes". Japanese Journal of Mathematics. 32: 1–12. doi:10.4099/jjm1924.32.0_1. PDF TeX. Oka, Kiyoshi (1934). "Note sur les familles de fonctions analytiques multiformes etc". Journal of Science of the Hiroshima University. Ser.A 4: 93–98. doi:10.32917/hmj/1558749763. PDF TeX. Oka, Kiyoshi (1941). "Sur les domaines pseudoconvexes". Proc. Imp. Acad. Tokyo. 17 (1): 7–10. doi:10.3792/pia/1195578912. PDF TeX. Oka, Kiyoshi (1949). "Note sur les fonctions analytiques de plusieurs variables". Kodai Math. Sem. Rep. 1 (5–6): 15–18. doi:10.2996/kmj/1138833536. PDF TeX.

References

External links O'Connor, John J.; Robertson, Edmund F., "Kiyoshi Oka", MacTutor History of Mathematics Archive, University of St Andrews Oka library at NWU Photos of Prof. Kiyoshi Oka Related to Works of Dr. Kiyoshi OKA Oka Mathematical Institute

Illustrations

Worked examples

Example 1 — a first encounter with Kiyoshi Oka

Start with the simplest possible case. Write down what Kiyoshi Oka claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In astronomy, 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 Kiyoshi Oka 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 Kiyoshi Oka 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 Kiyoshi Oka

In research: Kiyoshi Oka appears in astronomy 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 Kiyoshi Oka 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: Kiyoshi Oka is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1901 births, 1978 deaths, 20th-century Japanese essayists, so understanding it makes those chapters shorter.
In everyday life: Look for Kiyoshi Oka 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 Kiyoshi Oka in 20 minutes

Read the reference excerpt below once, without taking notes.
Close the page and write down what Kiyoshi Oka means in your own words.
Compare your version with the excerpt and mark what you missed.
Work through the three examples above with pen and paper.
Explain Kiyoshi Oka out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Kiyoshi Oka in simple terms?

Kiyoshi Oka (岡潔, Oka Kiyoshi; April 19, 1901 – March 1, 1978) was a Japanese mathematician who did fundamental work in the theory of several complex variables. Biography Oka was born in Osaka.

Why does Kiyoshi Oka matter?

Because it connects several astronomy 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 Kiyoshi Oka?

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 Kiyoshi Oka.