mathematics

Shigeo Sasaki

Shigeo Sasaki 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 Shigeo Sasaki rather than just read about it. In short: Shigeo Sasaki (佐々木重夫) (18 November 1912 Yamagata Prefecture, Japan – 14 August 1987 Tokyo) was a Japanese mathematician working on differential geometry who introduced Sasaki manifolds. He retired from Tohoku University's Mathematical Institute in April 1976.

Key takeaways

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

Reference excerpt

Shigeo Sasaki (佐々木　重夫) (18 November 1912 Yamagata Prefecture, Japan – 14 August 1987 Tokyo) was a Japanese mathematician working on differential geometry who introduced Sasaki manifolds. He retired from Tohoku University's Mathematical Institute in April 1976.

Publications Sasaki, Shigeo (1985), Tachibana, Shun-ichi (ed.), Selected papers, Tokyo: Kinokuniya Company Ltd., MR 0834384

References

Editors of the Tohoku Mathematical Journal (1987), "Shigeo Sasaki: 1912–1987", Tohoku Mathematical Journal, 39 (4): i–viii, doi:10.2748/tmj/1178228236 {{citation}}: |last= has generic name (help) O'Connor, John J.; Robertson, Edmund F., "Shigeo Sasaki", MacTutor History of Mathematics Archive, University of St Andrews

Worked examples

Example 1 — a first encounter with Shigeo Sasaki

Start with the simplest possible case. Write down what Shigeo Sasaki 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 Shigeo Sasaki 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 Shigeo Sasaki 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 Shigeo Sasaki

In research: Shigeo Sasaki 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 Shigeo Sasaki 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: Shigeo Sasaki is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1912 births, 1987 deaths, 20th-century Japanese mathematicians, so understanding it makes those chapters shorter.
In everyday life: Look for Shigeo Sasaki 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 Shigeo Sasaki in 20 minutes

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

Frequently asked questions

What is Shigeo Sasaki in simple terms?

Shigeo Sasaki (佐々木重夫) (18 November 1912 Yamagata Prefecture, Japan – 14 August 1987 Tokyo) was a Japanese mathematician working on differential geometry who introduced Sasaki manifolds. He retired from Tohoku University's Mathematical Institute in April 1976.

Why does Shigeo Sasaki 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 Shigeo Sasaki?

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 Shigeo Sasaki.