mathematics

Rodolfo Guimarães

Rodolfo Guimarães 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 Rodolfo Guimarães rather than just read about it. In short: Rodolfo Ferreira Dias Guimarães (4 January 1866 – 9 July 1918) was a Portuguese army officer and a leading historian of mathematics. Rodolfo Guimarães attained the rank of colonel, and taught at the Army School.

Key takeaways

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

Reference excerpt

Rodolfo Ferreira Dias Guimarães (4 January 1866 – 9 July 1918) was a Portuguese army officer and a leading historian of mathematics. Rodolfo Guimarães attained the rank of colonel, and taught at the Army School. Rodolfo Guimarães was born in Porto in 1866, the son of Augusto Dias Guimarães and Teresa Amélia Ferreira Dias, who, by his own account, made a great deal of sacrifice to ensure he had access to good education. He enrolled at the Lisbon Polytechnic School in 1883. Guimarães published his first two papers on mathematics while still a student, in 1885. Early in his research career he published papers on geometry, but from 1900 onward he was mainly concerned with the history of Portuguese mathematics. His seminal work, Les Mathématiques en Portugal au XIXe Siècle, published that year, was a groundbreaking bibliography of Portuguese mathematical works according to the norms of the 1889 International Congress of Bibliography of Mathematical Sciences. Its first edition earned a favourable review from Gustav Eneström. By compiling lists of existing works and reprinting rare papers, Guimarães had an important role in the preservation of mathematical works connected with leading Portuguese mathematicians, chief among them Pedro Nunes whom he considered the most outstanding Portuguese mathematician; Nunes was the subject of a considerable number of papers authored by Guimarães.

Distinctions

National orders Officer of the Order of Aviz Officer of the Order of Saint James of the Sword

Foreign orders Knight Cross of the Order of Charles III (Spain) Knight's Cross of the Order of Isabella the Catholic (Spain) Cross of the Order of Military Merit, with White Decoration (Spain) Officer of Public Instruction of the Order of Academic Palms (France) Commander of the Order of the Star of Romania (Romania)

References

Illustrations

Worked examples

Example 1 — a first encounter with Rodolfo Guimarães

Start with the simplest possible case. Write down what Rodolfo Guimarães 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 Rodolfo Guimarães 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 Rodolfo Guimarães 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 Rodolfo Guimarães

In research: Rodolfo Guimarães 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 Rodolfo Guimarães 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: Rodolfo Guimarães is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1866 births, 1918 deaths, 19th-century Portuguese mathematicians, so understanding it makes those chapters shorter.
In everyday life: Look for Rodolfo Guimarães 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.

Ask Teacher Smith questions about this articleOpens your AI tutor with a question about “Rodolfo Guimarães” →

Affiliate

Preply — study more efficiently by working with a personal tutor. 50% off.

How to study Rodolfo Guimarães in 20 minutes

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

Frequently asked questions

What is Rodolfo Guimarães in simple terms?

Why does Rodolfo Guimarães 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 Rodolfo Guimarães?

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 Rodolfo Guimarães.