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Ibn al-Banna' al-Marrakushi

Ibn al-Banna' al-Marrakushi 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 al-Banna' al-Marrakushi rather than just read about it. In short: Ibn al‐Bannāʾ al‐Marrākushī (Arabic: ابن البناء المراكشي), full name: Abu'l-Abbas Ahmad ibn Muhammad ibn Uthman al-Azdi al-Marrakushi (Arabic: أبو العباس أحمد بن محمد بن عثمان الأزدي) (29 December 1256 – 31 July 1321), was a Moroccan Arab polymath who was active as a mathematician, astronomer, Islamic scholar, Sufi and astrologer. Biography Ahmad ibn Muhammad ibn Uthman was born in the Qa'at Ibn Nahid Quarter of Mar…

Key takeaways

  • Ibn al-Banna' al-Marrakushi 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 al-Banna' al-Marrakushi to a quantity you can measure, compute or draw — that is where exam questions come from.
  • Reproduce the core statement of Ibn al-Banna' al-Marrakushi from memory before moving on to harder problems.

Reference excerpt

Ibn al‐Bannāʾ al‐Marrākushī (Arabic: ابن البناء المراكشي), full name: Abu'l-Abbas Ahmad ibn Muhammad ibn Uthman al-Azdi al-Marrakushi (Arabic: أبو العباس أحمد بن محمد بن عثمان الأزدي) (29 December 1256 – 31 July 1321), was a Moroccan Arab polymath who was active as a mathematician, astronomer, Islamic scholar, Sufi and astrologer.

Biography Ahmad ibn Muhammad ibn Uthman was born in the Qa'at Ibn Nahid Quarter of Marrakesh on 29 or 30 December 1256. His nisba al-Marrakushi is in relation to his birth and death in his hometown Marrakesh. His father was a mason thus the kunya Ibn al-Banna' (lit. the son of the mason). Ibn al-Banna' studied a variety of subjects under at least 17 masters: Quran under the Qari's Muhammad ibn al-bashir and shaykh al-Ahdab. ʻilm al-ḥadīth under qadi al-Jama'a (chief judge) of Fez َAbu al-Hajjaj Yusuf ibn Ahmad ibn Hakam al-Tujibi, Abu Yusuf Ya'qub ibn Abd al-Rahman al-Jazuli and Abu abd allah ibn. Fiqh and Usul al-Fiqh under Abu Imran Musa ibn Abi Ali az-Zanati al-Marrakushi and Abu al-Hasan Muhammad ibn Abd al-Rahman al-Maghili who taugh him al-Juwayni's Kitab al-Irsahd. He also studied Arabic grammar under Abu Ishaq Ibrahim ibn Abd as-Salam as-Sanhaji and Muhammad ibn Ali ibn Yahya as-sharif al-marrakushi who also taugh him Euclid’s Elements. ʿArūḍ and ʿilm al-farāʾiḍ under Abu Bakr Muhammad ibn Idris ibn Malik al-Quda'i al-Qallusi. Arithmetic under Muhammad ibn Ali, known as Ibn Ḥajala. Ibn al-Banna' also studied astronomy under Abu 'Abdallah Muhammad ibn Makhluf as-Sijilmassi. He also studied medecine under al-Mirrīkh. He is known to have attached himself to the founder of the Hazmiriyya zawiya and sufi saint of Aghmat, Abu Zayd Abd al-Rahman al-Hazmiri, who guided his arithmetic skills toward divinational predictions. Ibn al-Banna' taught classes in Marrakesh and some of his students were: Abd al-Aziz ibn Ali al-Hawari al-Misrati (d.1344), Abd al-Rahman ibn Sulayman al-Laja'i (d. 1369) and Muhammad ibn Ali ibn Ibrahim al-Abli (d. 1356). He died at Marrakesh on 31 July 1321.

Works Ibn al-Banna' wrote over 100 works encompassing such varied topics as Astronomy, Astrology, the division of inheritances, Linguistics, Logic, Mathematics, Meteorology, Rhetoric, Tafsir, Usūl al-Dīn and Usul al-Fiqh. One of his works, called Talkhīṣ ʿamal al-ḥisāb (Arabic: تلخيص أعمال الحساب) (Summary of arithmetical operations), includes topics such as fractions and sums of squares and cubes. Another, called Tanbīh al-Albāb, covers topics related to:

calculations regarding the drop in irrigation canal levels, arithmetical explanation of the Muslim laws of inheritance determination of the hour of the Asr prayer, explanation of frauds linked to instruments of measurement, enumeration of delayed prayers which have to be said in a precise order, and calculation of legal tax in the case of a delayed payment He also wrote an introduction to Euclid's Elements. He also wrote Rafʿ al-Ḥijāb 'an Wujuh A'mal al-Hisab (Lifting the Veil from Faces of the Workings of Calculations) which covered topics such as computing square roots of a number and the theory of simple continued fractions.

See also Ibn Ghazi al-Miknasi

References

Sources Calvo, Emilia (2008). "Ibn al-Banna'". In Selin, Helaine (ed.). Encyclopaedia of the History of Science, Technology, and Medicine in Non-Western Cultures (2nd ed.). Springer Science & Business Media. ISBN 978-1-4020-4559-2. Cherkaoui, Ahmed Iqbal (1992). "Ibn al-Banna', Ahmad ibn Muhammad ibn Uthman". In Toufiq, Ahmed; Hajji, Mohamed (eds.). Ma'lamat al-Maghrib (in Arabic). Vol. 5. al-Jamī‘a al-Maghribiyya li-l-Ta’līf wa-l-Tarjama wa-l-Nashr. Oaks, Jeffrey (2017). "Ibn al- Bannāʾ al- Marrākushī". In Fleet, Kate; Krämer, Gudrun; Matringe, Denis; Nawas, John; Rowson, Everett (eds.). Encyclopaedia of Islam (3rd ed.). E. J. Brill. Samsó, Julio (2007). "Ibn al-Bannāʾ: Abū al-ʿAbbās Aḥmad ibn Muḥammad ibn ʿUthmān al-Azdī al-Marrākushī". In Thomas Hockey; et al. (eds.). The Biographical Encyclopedia of Astronomers. New York: Springer. pp. 551–552. ISBN 978-0-387-31022-0. Sarton, George (1931). Introduction to the History of Science. Vol. II. From Rabbi Ben Ezra to Roger Bacon. Carnegie Institution of Washington. Stearns, Justin (2012). Akyeampong, Emmanuel Kwaku; Gates Jr., Henry Louis (eds.). Dictionary of African Biography. Vol. 4. OUP USA. ISBN 978-0-19-538207-5. Suter, H.; Bencheneb, M. (1986) [1971]. "Ibn al- Bannāʾ al- Marrākus̲h̲ī". In Lewis, B.; Ménage, V. L.; Pellat, C.; Schacht, J. (eds.). Encyclopaedia of Islam. Vol. III (2nd ed.). Leiden, Netherlands: E. J. BRILL. ISBN 9004081186.

Worked examples

Example 1 — a first encounter with Ibn al-Banna' al-Marrakushi

Start with the simplest possible case. Write down what Ibn al-Banna' al-Marrakushi 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 al-Banna' al-Marrakushi 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 al-Banna' al-Marrakushi 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 al-Banna' al-Marrakushi

In research
Ibn al-Banna' al-Marrakushi 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 al-Banna' al-Marrakushi 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 al-Banna' al-Marrakushi is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1256 births, 1321 deaths, 13th-century astronomers, so understanding it makes those chapters shorter.
In everyday life
Look for Ibn al-Banna' al-Marrakushi 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 al-Banna' al-Marrakushi in 20 minutes

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

Frequently asked questions

What is Ibn al-Banna' al-Marrakushi in simple terms?

Ibn al‐Bannāʾ al‐Marrākushī (Arabic: ابن البناء المراكشي), full name: Abu'l-Abbas Ahmad ibn Muhammad ibn Uthman al-Azdi al-Marrakushi (Arabic: أبو العباس أحمد بن محمد بن عثمان الأزدي) (29 December 1256 – 31 July 1321), was a Moroccan Arab polymath who was active as a mathematician, astronomer, Isla…

Why does Ibn al-Banna' al-Marrakushi 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 al-Banna' al-Marrakushi?

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 al-Banna' al-Marrakushi.

Tags

  • 1256 births
  • 1321 deaths
  • 13th-century astronomers
  • 13th-century mathematicians
  • 14th-century astronomers
  • 14th-century mathematicians
  • Algebraists
  • Maghrebi scholars
  • Mathematicians who worked on Islamic inheritance
  • Medieval geometers
  • People from Marrakesh
  • Scholars from Marrakesh

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