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Ibn Adlan

Ibn Adlan 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 Ibn Adlan rather than just read about it. In short: ʻAfīf al-Dīn ʻAlī ibn ʻAdlān al-Mawsilī (Arabic: عفيف لدين علي بن عدلان الموصلي; 1187–1268 CE), born in Mosul, was an Arab cryptologist, linguist and poet who is known for his early contributions to cryptanalysis, to which he dedicated at least two books. He was also involved in literature and poetry, and taught on the Arabic language at the Al-Salihiyya Mosque of Cairo.

Ibn Adlan — main illustration
Ibn Adlan — illustration

Key takeaways

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

Reference excerpt

ʻAfīf al-Dīn ʻAlī ibn ʻAdlān al-Mawsilī (Arabic: عفيف لدين علي بن عدلان الموصلي; 1187–1268 CE), born in Mosul, was an Arab cryptologist, linguist and poet who is known for his early contributions to cryptanalysis, to which he dedicated at least two books. He was also involved in literature and poetry, and taught on the Arabic language at the Al-Salihiyya Mosque of Cairo. He was in contact with various rulers of his time, and in this capacity he gained practical experience in cryptanalysis or the science of breaking encoded messages. He dedicated On Cryptanalysis, his only surviving work on the topic, to Al-Ashraf Musa (r. 1229–1237), the Ayyubid Emir of Damascus. He wrote three other books, including Al-Mu'lam (The Told [Book]), also on cryptanalysis, but it is now lost. On Cryptanalysis is a sort of guidebook for cryptanalysts, containing twenty sets of techniques he calls "rules". The methods contains more practical details than Al-Kindi's 8th century Treatise on Deciphering Cryptographic Messages—the earliest surviving work on cryptoanalysis—but lack its predecessor's theoretical background on cryptography. Among Ibn 'Adlan's original contributions were methods for breaking no-space monoalphabetic cryptograms, a type of ciphers which were developed to evade analysis techniques described earlier by Al-Kindi. In this treatise Ibn 'Adlan also includes a real-life example of a cryptogram that he deciphered and his full process in breaking it, which, in the words of the cryptographer James Massey, provides "the authentic experience of a highly skilled cryptanalyst."

Biography

'Afif al-Din 'Ali ibn 'Adlan was born in Mosul in 583 AH (c. 1187 CE). He was of an Arab origin and received education in Baghdad, including lessons on syntax by the grammarian Abu al-Baqa al-Ukbari. Subsequently, he lived in Damascus for a time, before became a teacher of the Arabic language at the Al-Salihiyya Mosque of Cairo until his death in 666 AH (c. 1268 CE). In addition to writing treatises on linguistics and cryptanalysis, he was considered an authority in literature and wrote poems himself. He was in contact with various rulers, and in this capacity he gained practical experience in cryptanalysis, which he calls hall al-mutarjam. One of these rulers was Al-Ashraf Musa (r. 1229–1237), the Ayyubid Emir of Damascus, for whom he dedicated his treatise On Cryptanalysis. He was also known by his multiple nisbas (descriptive epithets): al-Mawsili (of Mosul), al-Nahwi (the Grammarian) and al-Mutarjim (the Cryptoanalyst).

Works

Early Arabic bibliographies attributed three titles to him, including one on cryptanalysis, Fi hall al-mutarjam (On Cryptanalysis), also known as Al-mu'allaf lil-malik al-'Ashraf (The [Book] Written for King al-Ashraf). In addition, a reference in On Cryptanalysis points to another book, Al-Mu'lam (The Told [Book]), which is now lost, in which he describes algorithms for analysing cryptograms. His other two works were titled Al-Intihab li-kashf al-'abyat al-mushkilat al-i'rab and 'Uqlat al-mujtaz fi hall al-aljaz.

Background The practice and study of encrypting messages into ciphers, called cryptography, had existed since ancient times, practised by the Egyptian, Chinese, Indian, Mesopotamian, Greek, and Roman civilisations. In contrast, cryptanalysis, the science of breaking ciphers—in other words, recovering the plain message from an encrypted one—was founded in the early Arab-Muslim civilisation. The earliest surviving work found on the topic of cryptanalysis is the Risalah fi Istikhraj al-Mu'amma ("Treatise on Deciphering Cryptographic Messages") written by Al-Kindi (c. 801–873), an Arab scholar who also wrote on other topics including philosophy, astronomy, and medicine. Reports are also found on other works before al-Kindi, among the earliest of which is al-Mu'amma ("The Book of Cryptographic Messages"), written by al-Khalil ibn Ahmad in the 8th century, but they are now lost. Al-Kindi's book presents cryptanalysis techniques such as frequency analysis, which is to also be covered by Ibn 'Adlan's works.

On Cryptanalysis

… excerpt ends here. Continue reading the full article.

Illustrations

Ibn Adlan: The cover (right) and the first page (left) of Ibn Adlan's On Cryptanalysis
The cover (right) and the first page (left) of Ibn Adlan's On Cryptanalysis
Ibn Adlan: On Cryptanalysis is preserved in the library of the Süleymaniye Mosque of Istanbul (mosque pictured in 2011).
On Cryptanalysis is preserved in the library of the Süleymaniye Mosque of Istanbul (mosque pictured in 2011).

Worked examples

Example 1 — a first encounter with Ibn Adlan

Start with the simplest possible case. Write down what Ibn Adlan 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 Ibn Adlan 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 Ibn Adlan 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 Ibn Adlan

In research
Ibn Adlan 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 Ibn Adlan 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
Ibn Adlan is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1187 births, 1268 deaths, 13th-century Arab people, so understanding it makes those chapters shorter.
In everyday life
Look for Ibn Adlan 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 Ibn Adlan in 20 minutes

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

Frequently asked questions

What is Ibn Adlan in simple terms?

ʻAfīf al-Dīn ʻAlī ibn ʻAdlān al-Mawsilī (Arabic: عفيف لدين علي بن عدلان الموصلي; 1187–1268 CE), born in Mosul, was an Arab cryptologist, linguist and poet who is known for his early contributions to cryptanalysis, to which he dedicated at least two books. He was also involved in literature and poet…

Why does Ibn Adlan 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 Ibn Adlan?

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 Ibn Adlan.

Tags

  • 1187 births
  • 1268 deaths
  • 13th-century Arab people
  • 13th-century Arabic-language poets
  • 13th-century people from the Abbasid Caliphate
  • Mathematicians of the medieval Islamic world
  • Medieval cryptographers
  • Scholars from the Ayyubid Sultanate
  • Scholars from the Mamluk Sultanate
  • Writers from Mosul

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