mathematics

Tatsujiro Shimizu

Tatsujiro Shimizu 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 Tatsujiro Shimizu rather than just read about it. In short: Tatsujiro Shimizu (清水辰次郎, Shimizu Tatsujirō; 7 April 1897 – 8 November 1992) was a Japanese mathematician working in the field of complex analysis. He was the founder of the Japanese Association of Mathematical Sciences.

Key takeaways

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

Reference excerpt

Tatsujiro Shimizu (清水辰次郎, Shimizu Tatsujirō; 7 April 1897 – 8 November 1992) was a Japanese mathematician working in the field of complex analysis. He was the founder of the Japanese Association of Mathematical Sciences.

Life and career Shimizu graduated from the Department of Mathematics, School of Science, Tokyo Imperial University in 1924, and stayed there working as a staff member. In 1932 he moved to Osaka Imperial University and became a professor. He made contributions to the establishment of the Department of Mathematics there. In 1949, Shimizu left Osaka and took up a professorship at Kobe University. After two years, he moved again to Osaka Prefectural University. From 1961 he was a professor at the Tokyo University of Science. In 1948, seeing the difficulty in publication of paper in mathematics, Shimizu started a new journal Mathematica Japonicae, for papers of pure and applied mathematics in general, on his own funds. The journal served as the foundation of the Japanese Association of Mathematical Sciences. Shimizu remained active in mathematics into old age. He gave talks at the meeting of the Mathematical Society of Japan until 90 years old. He died in Uji City, Kyoto Prefecture, on November 8, 1992, at the age 95.

Works

Function theory The first works of Shimizu treated topics of function theory, in particular the theory of meromorphic functions. A new form of the Nevanlinna characteristic generalised by him (and separately by Ahlfors) is now known as the Ahlfors-Shimizu characteristic. Additionally, with the idea of function groups, he attained a profound result on the construction of Riemann surface of meromorphic functions. In 1931, as a pioneer in Japan responding to Fatou's study of the theory of iteration of the algebraic functions, Shimizu published two papers introducing the subject in Japanese journals.

Applied mathematics Since he moved to Osaka in 1932, Shimizu has been interested in the application of mathematical methods into science and technology. He broadly worked on the existence conditions of limit cycles, numerical analysis and applied analysis (including solving ordinary differential equations, numerical solutions and non-linear oscillations), computing machines and devices, as well as artificial intelligence (especially in solving arithmetic problems through electronic computer). His research in these areas was continued through this career. He was also involved in operations research and mathematics in management sciences, as well as probability theory and mathematical statistics.

Notable students Among his students is Shizuo Kakutani, Osaka University, 1941

Books Statistical Machine Computing Method (「統計機械計算法」) Practical Mathematics (「実用数学」) Non-linear Oscillation Theory (「非線形振動論」) Applied Mathematics (「応用数学」)

References

Worked examples

Example 1 — a first encounter with Tatsujiro Shimizu

Start with the simplest possible case. Write down what Tatsujiro Shimizu 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 Tatsujiro Shimizu 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 Tatsujiro Shimizu 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 Tatsujiro Shimizu

In research: Tatsujiro Shimizu 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 Tatsujiro Shimizu 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: Tatsujiro Shimizu is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1897 births, 1992 deaths, Japanese mathematicians, so understanding it makes those chapters shorter.
In everyday life: Look for Tatsujiro Shimizu 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 Tatsujiro Shimizu in 20 minutes

Read the reference excerpt below once, without taking notes.
Close the page and write down what Tatsujiro Shimizu 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 Tatsujiro Shimizu out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Tatsujiro Shimizu in simple terms?

Why does Tatsujiro Shimizu 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 Tatsujiro Shimizu?

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 Tatsujiro Shimizu.