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Algebra includes the study of algebraic structures, which are sets and operations defined on these sets satisfying certain axioms. The field of algebra is further divided according to which structure is studied; for instance, group theory concerns an algebraic structure called group. Outline of algebra; Glossary of field theory; Glossary of ...
The word "algebra" is derived from the Arabic word الجبر al-jabr, and this comes from the treatise written in the year 830 by the medieval Persian mathematician, Al-Khwārizmī, whose Arabic title, Kitāb al-muḫtaṣar fī ḥisāb al-ğabr wa-l-muqābala, can be translated as The Compendious Book on Calculation by Completion and Balancing.
Algebra is the branch of mathematics that studies certain abstract systems, known as algebraic structures, and the manipulation of expressions within those systems. It is a generalization of arithmetic that introduces variables and algebraic operations other than the standard arithmetic operations, such as addition and multiplication.
Omar Khayyam (c. 1038/48 in Iran – 1123/24) [12] wrote the Treatise on Demonstration of Problems of Algebra containing the systematic solution of cubic or third-order equations, going beyond the Algebra of al-Khwārizmī. [13] Khayyám obtained the solutions of these equations by finding the intersection points of two conic sections.
This object of algebra was called modern algebra or abstract algebra, as established by the influence and works of Emmy Noether. [36] Some types of algebraic structures have useful and often fundamental properties, in many areas of mathematics. Their study became autonomous parts of algebra, and include: [14] group theory; field theory
Mighty Math is a collection of six educational video games for the Windows and Macintosh platforms, developed and published by Edmark software. As the title indicates, the games are heavily oriented on mathematics. Two of each games cater for different age groups with fitting content.
Geometry problem on a clay tablet belonging to a school for scribes; Susa, first half of the 2nd millennium BCE In contrast to the sparsity of sources in Egyptian mathematics , knowledge of Babylonian mathematics is derived from more than 400 clay tablets unearthed since the 1850s. [ 21 ]
Algebra is one of the main branches of mathematics, covering the study of structure, relation and quantity. Algebra studies the effects of adding and multiplying numbers , variables , and polynomials , along with their factorization and determining their roots .