Which branch of mathematics was developed by muslims and then widely accepted by the western world?

Algebra.

Further information is provided below

Algebra is the branch of mathematics that deals with symbols and the rules for manipulating those symbols. It was developed by Muslim mathematicians in the medieval Islamic world during the 8th-13th centuries.

One of the most influential Muslim mathematicians was al-Khwarizmi, who wrote a book titled “Al-Kitāb al-mukhtaṣar fī ḥisāb al-jabr wa-l-muqābala,” which translates to “The Compendious Book on Calculation by Completion and Balancing.” This book is considered to be the first textbook on algebra and it included topics such as linear and quadratic equations, as well as the use of algebraic symbols.

Algebra was widely accepted in the Western world after the 12th century, when many Arabic texts were translated into Latin. This led to the spread of algebra and many other aspects of Islamic mathematics throughout Europe.

Here are some interesting facts about algebra:

  • The word “algebra” comes from the Arabic word “al-jabr,” which means “reunion of broken parts.”
  • In addition to algebra, Muslim mathematicians also made significant contributions to the fields of geometry, trigonometry, and arithmetic.
  • The work of Muslim mathematicians in algebra and other branches of mathematics laid the foundation for modern scientific and mathematical thinking.
  • Algebra is used in a wide variety of applications, including physics, engineering, and economics.
  • As the field of computer science has developed, algebra has become increasingly important for modeling and solving complex problems.

As the famous mathematician John von Neumann once said, “In mathematics, you don’t understand things. You just get used to them.” Algebra is a prime example of a mathematical concept that has become deeply ingrained in our understanding of the world around us.

TABLE:

Topic Description
Origin of algebra Developed by Muslim mathematicians in medieval Islamic world
Key figure Al-Khwarizmi, who wrote the first textbook on algebra
Spread to the West Arabic texts were translated into Latin, leading to widespread acceptance of algebra in Europe
Use in modern times Used in physics, engineering, economics, and computer science
Influence on math and science Laid the foundation for modern scientific and mathematical thinking
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Associated video

The video discusses the history of science in the medieval Islamicate world, focusing on the work of al-Jazarī. He is credited with inventing the camshaft and the segmental gear, among other things, and his robots are considered some of the earliest examples of robot technology. The video also mentions that the series is made with the help of all of these nice people, and that it is possible to support the series through Patreon.

There are alternative points of view

Such was the influence of this work that the Arabic phrase al jabr in the book’s title gave rise to our modern word "algebra". After Al-Khwarizmi, algebra became an important part of Arabic mathematics. Arabic mathematicians learned to manipulate polynomials, to solve certain algebraic equations, and more.

Hindu–Arabic numeral system

The Hindu–Arabic numeral system and the rules for the use of its operations, in use throughout the world today evolved over the course of the first millennium AD in India and were transmitted to the Western world via Islamic mathematics through the work of Muḥammad ibn Mūsā al-Khwārizmī.

The Hindu–Arabic numeral system and the rules for the use of its operations, in use throughout the world today evolved over the course of the first millennium AD in India and were transmitted to the Western world via Islamic mathematics through the work of Muḥammad ibn Mūsā al-Khwārizmī.

The Hindu–Arabic numeral system and the rules for the use of its operations, in use throughout the world today evolved over the course of the first millennium AD in India and were transmitted to the Western world via Islamic mathematics through the work of Muḥammad ibn Mūsā al-Khwārizmī.

Algebra

More interesting questions on the topic

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What branch of mathematics was invented by Muslims?
In reply to that: "Perhaps one of the most significant advances made by Arabic mathematics began at this time with the work of al-Khwarizmi, namely the beginnings of algebra.
What types of math did the Arabs develop?
In reply to that: Although the Arabic mathematicians are most famed for their work on algebra, number theory and number systems, they also made considerable contributions to geometry, trigonometry and mathematical astronomy.
What did Muslims pioneer the study of in mathematics?
Answer to this: In mathematics they contributed and invented the present arithmetical decimal system and the fundamental operations connected with it addition, subtraction, multiplication, division, exponentiation, and extracting the root. The 7th to the 13th century was the golden age of Muslim learning.
Which field of mathematics was invented during the golden age of Islam?
Algebra
Muhammad ibn Musa al-Khwarizmi (c. 780-850), also known as The Father of Algebra, was mathematician, astronomer and geographer. He was a scholar of the House of Wisdom in Baghdad; he introduced the basics of Algebra and Algorithm still used to this day.
When did Islamic mathematics start?
Answer: Islamic contributions to mathematics began around ad 825, when the Baghdad mathematician Muḥammad ibn Mūsā al-Khwārizmī wrote his famous treatise al-Kitāb al-mukhtaṣar fī ḥisāb al-jabr wa’l-muqābala (translated into Latin in the 12th century as Algebra et Almucabal, from which the modern term algebra is derived).
What did Arabic mathematicians do?
The reply will be: Although the Arabic mathematicians are most famed for their work on algebra, number theory and number systems, they also made considerable contributions to geometry, trigonometry and mathematical astronomy.
Is philosophy of mathematics an independent discipline in the medieval Islamic world?
Putting these scattered engagements together, it becomes clear that although philosophy of mathematics has never been treated as an independent discipline in the medieval Islamic world, Muslim thinkers came up with very interesting and profound ideas, insights, and arguments about at least some philosophical issues related to mathematics.
What was mathematics like in the Islamic Golden Ages?
Response to this: Mathematical Sciences along the Silk Roads During the Islamic Golden Ages (from the 8th to 13th centuries CE) considerable interactions and exchanges in the field of mathematics took place.
When did Islamic mathematics start?
The response is: Islamic contributions to mathematics began around ad 825, when the Baghdad mathematician Muḥammad ibn Mūsā al-Khwārizmī wrote his famous treatise al-Kitāb al-mukhtaṣar fī ḥisāb al-jabr wa’l-muqābala (translated into Latin in the 12th century as Algebra et Almucabal, from which the modern term algebra is derived).
What did Arabic mathematicians do?
Although the Arabic mathematicians are most famed for their work on algebra, number theory and number systems, they also made considerable contributions to geometry, trigonometry and mathematical astronomy.
What was mathematics like in the Islamic Golden Ages?
Mathematical Sciences along the Silk Roads During the Islamic Golden Ages (from the 8th to 13th centuries CE) considerable interactions and exchanges in the field of mathematics took place.
Is philosophy of mathematics an independent discipline in the medieval Islamic world?
Putting these scattered engagements together, it becomes clear that although philosophy of mathematics has never been treated as an independent discipline in the medieval Islamic world, Muslim thinkers came up with very interesting and profound ideas, insights, and arguments about at least some philosophical issues related to mathematics.

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