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Al-Khwarizmi: Compendious Book on Calculation by Completion & Balancing, Algebra & Algorithms

Encyclopedia/1. The Cosmos & The Natural World/1. Mathematics & Formal Systems/14. Mathematical Biographies  •  Curated by Admin Timeline.sg

Timeline of Muhammad ibn Musa al-Khwarizmi, Persian polymath at the House of Wisdom whose works 'The Compendious Book on Calculation by Completion and Balancing' and on Hindu-Arabic numerals gave rise to algebra and algorithms, shaping mathematics and computing.

Chronological Storyline (44 Milestones)

780 CE

Birth of Al-Khwarizmi

Muhammad ibn Musa al-Khwarizmi is born in the region of Khwarazm (modern-day Khiva, Uzbekistan). His early life is not well documented, but he likely received a strong education in mathematics, astronomy, and geography. #mathematics #history

Birth of Al-Khwarizmi
Birth of Al-Khwarizmi
By Zarateman - Own work, CC0, https://commons.wikimedia.org/w/index.php?curid=162213187
800 CE

Travel to Baghdad

Al-Khwarizmi moves to Baghdad, the capital of the Abbasid Caliphate, which was a center of learning and culture. He joins the House of Wisdom (Bayt al-Hikma), a premier academy and library. #history #islamicgoldenage

813 CE

Caliph al-Ma'mun's Patronage

Caliph al-Ma'mun becomes the patron of the House of Wisdom, commissioning translations and scientific works. Al-Khwarizmi flourishes under his patronage, producing many of his major works. #history #science

Caliph al-Ma'mun's Patronage
Caliph al-Ma'mun's Patronage
By Classical Numismatic Group; [1] - https://www.cngcoins.com/Coin.aspx?CoinID=201200, CC BY-SA 3.0, https://commons.wikimedia.org/w/index.php?curid=33419858
820 CE

Completion of Zij al-Sindhind

Al-Khwarizmi completes his astronomical tables (Zij al-Sindhind), based on Indian and Greek sources. These tables were used for centuries in the Islamic world and later translated into Latin. #astronomy #mathematics

820 CE

Invention of 'Al-Jabr' Method

Al-Khwarizmi introduces the method of 'al-jabr' (completion) to solve equations by adding equal terms to both sides, creating a systematic approach to algebra. #algebra #mathematics

820 CE

Writing of Al-Jabr (Algebra)

Al-Khwarizmi completes 'The Compendious Book on Calculation by Completion and Balancing' (Al-Kitab al-mukhtasar fi hisab al-jabr wa'l-muqabala), which introduces systematic algebraic methods. The term 'algebra' derives from 'al-jabr' in the title. #algebra #mathematics

Writing of Al-Jabr (Algebra)
Writing of Al-Jabr (Algebra)
By Muḥammad ibn Musa al-Khwarizmi - Esposito, John L., ed. (1999) The Oxford History of Islam, Oxford University Press ISBN: 0195107993. ; April 2006 (upload date) by Spm, Public domain, https://commons.wikimedia.org/w/index.php?curid=716423
820 CE

Translation of Sindhind

Al-Khwarizmi translates the Indian astronomical work 'Sindhind' (from Sanskrit Siddhanta) into Arabic, incorporating Indian astronomy into Islamic science. This work later influences European astronomy. #astronomy #science

825 CE

Treatise on Hindu-Arabic Numerals

Al-Khwarizmi writes a treatise explaining the Hindu-Arabic numeral system, including zero and place value. This work, though now lost in Arabic, survives in Latin translation as 'Algoritmi de numero Indorum', popularizing the system in Europe. #mathematics #numerals

825 CE

Work on Hindu Numerals with Zero

Al-Khwarizmi explains the use of zero as a placeholder in the Hindu numeral system, which was critical for the development of decimal arithmetic. #mathematics #numerals

Work on Hindu Numerals with Zero
Work on Hindu Numerals with Zero
By Cmglee - Own work, CC BY-SA 4.0, https://commons.wikimedia.org/w/index.php?curid=187178022
830 CE

Measurement of Earth's Circumference

Al-Khwarizmi participates in a project sponsored by al-Ma'mun to measure the Earth's circumference, using methods from Greek and Indian astronomy. This demonstrated the advanced state of Islamic science. #geography #science

830 CE

Coordination of Geographical Coordinates

Al-Khwarizmi revises Ptolemy's coordinates for over 2400 places in his 'Kitab Surat al-Ard', significantly improving the accuracy of maps of the known world. #geography #maps

830 CE

Method for Solving Linear Equations

Al-Khwarizmi provides clear geometric and algebraic solutions for linear equations, setting the stage for systematic problem-solving. #algebra #mathematics

833 CE

Publication of Kitab Surat al-Ard

Al-Khwarizmi writes 'Kitab Surat al-Ard' (Book on the Shape of the Earth), a major work of geography that revises Ptolemy's Geography with more accurate coordinates and a world map. #geography #maps

835 CE

Contributions to Spherical Astronomy

Al-Khwarizmi writes on spherical astronomy, improving methods for calculating celestial positions and times of prayer. #astronomy #mathematics

835 CE

Work on the Astrolabe

Al-Khwarizmi composes a treatise on the astrolabe, an essential tool for astronomy and timekeeping. His work on its use and construction advanced Islamic and later European astronomy. #astronomy #technology

835 CE

Treatise on Sundials

Al-Khwarizmi writes a work on sundials, describing their construction and use for timekeeping, which was important for religious observances. #technology #time

840 CE

Contributions to the Jewish Calendar

Al-Khwarizmi writes a work on the Jewish calendar, helping to synchronize Islamic and religious calendars. This shows his interdisciplinary expertise. #calendar #mathematics

840 CE

Influence on Islamic Arithmetic

Al-Khwarizmi's arithmetic works become standard texts in the Islamic world, influencing later mathematicians like Al-Karaji and Al-Tusi. #mathematics #education

840 CE

Influence on European Renaissance Mathematics

Al-Khwarizmi's works transmitted via Latin translations fuel the European Renaissance in mathematics and science. #renaissance #mathematics

845 CE

Development of Algebraic Methods

Al-Khwarizmi's algebra book systematically solves linear and quadratic equations using 'al-jabr' (restoration) and 'al-muqabala' (balancing). He also introduces rules for signs and operations with polynomials. #algebra #mathematics

850 CE

Death of Al-Khwarizmi

Al-Khwarizmi dies in Baghdad, leaving a legacy that transforms mathematics. His works continue to be studied and translated for centuries. #history #mathematics

850 CE

Legacy of Algebraic Notations

Al-Khwarizmi's algebraic notation and methods spread across the Islamic world and later to Europe, forming the basis of modern algebra. #algebra #history

1145 CE

Latin Translation of Algebra by Robert of Chester

Robert of Chester translates Al-Khwarizmi's algebra book into Latin, introducing European mathematicians to systematic algebra and the word 'algebra'. #algebra #translation

1145 CE

Latin Term 'Algorismus' Coined

The term 'algorismus' (algorithm) enters Latin vocabulary from Al-Khwarizmi's name, referring to arithmetic with Hindu-Arabic numerals. #terminology #history

1145 CE

Translation by Gerard of Cremona

Gerard of Cremona translates Al-Khwarizmi's astronomical tables and algebra into Latin, further disseminating his works in Europe. #translation #astronomy

Translation by Gerard of Cremona
Translation by Gerard of Cremona
By Gerard of Cremona - Gerardus Cremonensis "Recueil des traités de médecine" 1250-1260. Reproduction in "Inventions et découvertes au Moyen-Âge", Samuel Sadaune, Public domain, https://commons.wikimedia.org/w/index.php?curid=3691634
1150 CE

Latin Translation of Hindu-Arabic Numerals

Al-Khwarizmi's treatise on Hindu-Arabic numerals is translated into Latin as 'Algoritmi de numero Indorum'. The term 'algorithm' comes from the Latinized form of his name, 'Algoritmi'. #algorithms #mathematics

1200 CE

Use of Algorithm in European Texts

The term 'algorithm' becomes common in European mathematical texts, derived from the Latinization of Al-Khwarizmi's name. #algorithms #terminology

Use of Algorithm in European Texts
Use of Algorithm in European Texts
By Arthur Baelde - Own work, CC BY-SA 4.0, https://commons.wikimedia.org/w/index.php?curid=70282331
1202 CE

Fibonacci's Liber Abaci Adopts Arabic Numerals

Leonardo Fibonacci publishes 'Liber Abaci', which popularizes Hindu-Arabic numerals in Europe, heavily based on Al-Khwarizmi's works. This revolutionizes European commerce and mathematics. #mathematics #numerals

Fibonacci's Liber Abaci Adopts Arabic Numerals
Fibonacci's Liber Abaci Adopts Arabic Numerals
By Unknown author, Public domain, https://commons.wikimedia.org/w/index.php?curid=720501
1500 CE

Algebra Becomes a Core Mathematical Discipline

Al-Khwarizmi's algebra lays the foundation for this branch of mathematics, which becomes essential in fields from engineering to economics. #algebra #mathematics

1800 CE

Al-Khwarizmi as a Historical Figure in Mathematics Education

Western mathematics textbooks begin including Al-Khwarizmi's biography and contributions, recognizing his role as the father of algebra. #education #history

1835 CE

Publication of English Translation

An English translation of Al-Khwarizmi's algebra by Frederic Rosen is published, making the work accessible to a wider audience. #algebra #translation

1857 CE

Rediscovery of Latin Manuscripts

Medieval Latin translations of Al-Khwarizmi's works are rediscovered in European libraries, sparking scholarly interest in his contributions to mathematics and science. #history #mathematics

1915 CE

Publication of Arabic Original of Algebra

The unique Arabic manuscript of Al-Khwarizmi's algebra is published in a critical edition, allowing modern scholars to study the original text. #algebra #history

1950 CE

Al-Khwarizmi's Work on Algorithms in Computing

The term 'algorithm' becomes central to computer science, with Al-Khwarizmi recognized as a founding figure. #computing #algorithms

1963 CE

Crater Al-Khwarizmi Named on Moon

A lunar crater is named Al-Khwarizmi in honor of his contributions to astronomy and mathematics, recognizing his enduring legacy. #astronomy #moon )

Crater Al-Khwarizmi Named on Moon
Crater Al-Khwarizmi Named on Moon
By Unknown author, Public domain, https://commons.wikimedia.org/w/index.php?curid=533236
1973 CE

Arabic Edition of Algebra Reissued

A critical Arabic edition of Al-Khwarizmi's algebra is published, allowing new scholarly analysis. #algebra #history

1983 CE

Algorithmic Thinking in Modern Science

Al-Khwarizmi's systematic approach is recognized as an early example of algorithmic thinking, influencing fields like artificial intelligence. #ai #algorithms

1985 CE

UNESCO Recognition

UNESCO includes Al-Khwarizmi in its list of notable scientists and scholars, highlighting his impact on world civilization and mathematics. #history #unesco

2000 CE

Al-Khwarizmi in Popular Culture

Al-Khwarizmi's name appears in movies, books, and games, often as a symbol of scientific genius and invention. #culture #history

2007 CE

Google Doodle Celebrating Al-Khwarizmi

Google features a Doodle on Al-Khwarizmi's 1200th birth anniversary (approximate), bringing his contributions to a global audience. #technology #mathematics

2018 CE

Stamps Issued Commemorating Al-Khwarizmi

Several countries issue postage stamps featuring Al-Khwarizmi, celebrating his contributions to mathematics and astronomy. #philately #history

2019 CE

World Year of Al-Khwarizmi

UNESCO declares 2019 as the World Year of Al-Khwarizmi to commemorate his 1200th birth anniversary, promoting his contributions to algebra and algorithms. #history #mathematics

2020 CE

Al-Khwarizmi's Algorithm in Robotics

Concepts from Al-Khwarizmi's algebraic and algorithmic works are applied in modern robotics and automation. #robotics #algorithms

2023 CE

Al-Khwarizmi's Papers Digitally Preserved

Digital archives of Al-Khwarizmi's surviving manuscripts are created, ensuring his work is preserved for future generations. #preservation #history