mathematics

Hideyuki Matsumura

Hideyuki Matsumura 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 Hideyuki Matsumura rather than just read about it. In short: Hideyuki Matsumura (松村英之; 1930–1995) was a Japanese mathematician particularly known for his textbooks in commutative algebra. He received his Ph.D. in 1958 from Kyoto University under the advisory of mathematician Yasuo Akizuki.

Key takeaways

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

Reference excerpt

Hideyuki Matsumura (松村英之; 1930–1995) was a Japanese mathematician particularly known for his textbooks in commutative algebra. He received his Ph.D. in 1958 from Kyoto University under the advisory of mathematician Yasuo Akizuki.

References

External links The Oberwolfach Photo Collection has photos of him.

Worked examples

Example 1 — a first encounter with Hideyuki Matsumura

Start with the simplest possible case. Write down what Hideyuki Matsumura 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 Hideyuki Matsumura 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 Hideyuki Matsumura 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 Hideyuki Matsumura

In research: Hideyuki Matsumura 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 Hideyuki Matsumura 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: Hideyuki Matsumura is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1930 births, 1995 deaths, 20th-century Japanese mathematicians, so understanding it makes those chapters shorter.
In everyday life: Look for Hideyuki Matsumura 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 Hideyuki Matsumura in 20 minutes

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

Frequently asked questions

What is Hideyuki Matsumura in simple terms?

Why does Hideyuki Matsumura 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 Hideyuki Matsumura?

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 Hideyuki Matsumura.