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The Man Who Counted

The Man Who Counted 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 The Man Who Counted rather than just read about it. In short: The Man Who Counted (original Portuguese title: O Homem que Calculava) is a book on recreational mathematics and curious word problems by Brazilian writer Júlio César de Mello e Souza, published under the pen name Malba Tahan. Since its first publication in 1938, the book has been immensely popular in Brazil and abroad, not only among mathematics teachers but among the general public as well.

The Man Who Counted — main illustration
The Man Who Counted — illustration

Key takeaways

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

Reference excerpt

The Man Who Counted (original Portuguese title: O Homem que Calculava) is a book on recreational mathematics and curious word problems by Brazilian writer Júlio César de Mello e Souza, published under the pen name Malba Tahan. Since its first publication in 1938, the book has been immensely popular in Brazil and abroad, not only among mathematics teachers but among the general public as well. The book has been published in many other languages, including Catalan, English (in the UK and in the US), German, Italian, and Spanish, and is recommended as a paradidactic source in many countries. It earned its author a prize from the Brazilian Literary Academy.

Plot summary

First published in Brazil in 1949, O Homem que Calculava is a series of tales in the style of the Arabian Nights, but revolving around mathematical puzzles and curiosities. The book is ostensibly a translation by Brazilian scholar Breno de Alencar Bianco of an original manuscript by Malba Tahan, a thirteenth-century Persian scholar of the Abbasid Caliphate – both equally fictitious. The first two chapters tell how Hanak Tade Maia was traveling from Samarra to Baghdad when he met Beremiz Samir, a young lad from Khoy with amazing mathematical abilities. The traveler then invited Beremiz to come with him to Baghdad, where a man with his abilities will certainly find profitable employment. The rest of the book tells of various incidents that befell the two men along the road and in Baghdad. In all those events, Beremiz Samir uses his abilities with calculation like a magic wand to amaze and entertain people, settle disputes, and find wise and just solutions to seemingly unsolvable problems. In the first incident along their trip (chapter III), Beremiz settles a heated inheritance dispute between three brothers. Their father had left them 35 camels, of which 1/2 (17.5 camels) should go to his eldest son, 1/3 (11.666... camels) to the middle one, and 1/9 (3.888... camels) to the youngest. To solve the brothers dilemma, Beremiz convinces Hanak to donate his only camel to the dead man's estate. Then, with 36 camels, Beremiz gives 18, 12, and 4 animals to the three heirs, making all of them profit with the new share. Of the remaining two camels, one is returned to Hanak, and the other is claimed by Beremiz as his reward. The translator's notes observe that the 17-animal inheritance puzzle, a mathematical puzzle whose first publication is in the works of Muhaqiqi Naraqi, is a variant of this problem, with 17 camels to be divided in the same proportions. It is found in hundreds of recreational mathematics books, such as those of E. Fourrey (1949) and G. Boucheny (1939). However, the 17-camel version leaves only one camel at the end, with no net profit for the estate's executor. At the end of the book, Beremiz uses his abilities to win the hand of his student and secret love Telassim, the daughter of one of the Caliph's advisers. (The caliph mentioned is Al-Musta'sim, the only real character who appears fictitiously; the time period ends with the Abbasid dynasty's collapse.) In the last chapter we learn that Hanak Tade Maia and Beremiz eventually moved to Constantinople following the Siege of Baghdad (Telassim's father died in the fighting), where Beremiz had three sons and Hanak visits him often.

Publishing history The "translator's note" signed "B. A. Bianco" is dated from 1965. The preface signed "Malba Tahan" is dated "Baghdad, 19 of the Moon of Ramadan of 1321" (Islamic calendar equivalent of (Gregorian) 8 December 1903). The 1993 English edition published by W.W. Norton & Co. was illustrated by Patricia Reid Baquero. The fifty fourth printing by Editora Record (2001; in Portuguese) contains 164 pages of Malba Tahan's text, plus 60 pages of notes and historical appendices, commented solutions to all the problems, a glossary of Arabic terms, alphabetical index, and other material. The book was translated into Arabic in 2005 by Azza Kubba, an Iraqi from Baghdad (published by Al-Jamel Publishing House, Cologne, Germany).

Further reading Gaston Boucheny, Curiosités et Récréations Mathématiques. Paris, 1939. E. Fourrey, Récréations Mathématiques. Paris, 1949.

References

External links Online copy from The Internet Archive

Illustrations

The Man Who Counted illustration
The Man Who Counted illustration

Worked examples

Example 1 — a first encounter with The Man Who Counted

Start with the simplest possible case. Write down what The Man Who Counted 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 The Man Who Counted 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 The Man Who Counted 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 The Man Who Counted

In research
The Man Who Counted 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 The Man Who Counted 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
The Man Who Counted is common in secondary-school and first-year university syllabi. It links to neighbouring topics Mathematics fiction books, Recreational mathematics, so understanding it makes those chapters shorter.
In everyday life
Look for The Man Who Counted 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 The Man Who Counted in 20 minutes

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

Frequently asked questions

What is The Man Who Counted in simple terms?

The Man Who Counted (original Portuguese title: O Homem que Calculava) is a book on recreational mathematics and curious word problems by Brazilian writer Júlio César de Mello e Souza, published under the pen name Malba Tahan. Since its first publication in 1938, the book has been immensely popular…

Why does The Man Who Counted 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 The Man Who Counted?

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 The Man Who Counted.

Tags

  • Mathematics fiction books
  • Recreational mathematics

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