释义 |
algebra /ˈaldʒɪbrə /noun [mass noun]1The part of mathematics in which letters and other general symbols are used to represent numbers and quantities in formulae and equations: courses in algebra, geometry, and Newtonian physics...- Among his many mathematical achievements can be included profound discoveries in logic, algebra and differential equations.
- Aitken's mathematical work was in statistics, numerical analysis, and algebra.
- König worked on a wide range of topics in algebra, number theory, geometry, set theory, and analysis.
1.1A system of algebra based on given axioms.This was the time when Brauer made his fundamental contribution to the algebraic theory of simple algebras.…...- Malcev also studied Lie groups and topological algebras, producing a synthesis of algebra and mathematical logic.
- In 1870 Peirce published, at his own expense, Linear Associative Algebra a classification of all complex associative algebras of dimension less than seven.
Derivatives algebraist /ˌaldʒɪˈbreɪɪst / noun ...- Or he might want to train future algebraists and maybe attract a few Ph.D. students for himself.
- Few algebraists seriously think about writing the great American comprehensive algebra text.
- In other words, like many other algebraists, Chinese or not, he demonstrates algebra by using it…
Origin Late Middle English: from Italian, Spanish, and medieval Latin, from Arabic al-jabr 'the reunion of broken parts', 'bone-setting', from jabara 'reunite, restore'. The original sense, 'the surgical treatment of fractures', probably came via Spanish, in which it survives; the mathematical sense comes from the title of a book, ‘ilm al-jabr wa'l-muqābala 'the science of restoring what is missing and equating like with like', by the mathematician al-Ḵwārizmī (see algorithm). Bone-setting does not seem to have much to do with mathematics, but there is a connection in the word algebra. It comes from the Arabic al-jabr ‘the reunion of broken parts’, used specifically to refer to the surgical treatment of fractures and to bone-setting. Algebra was used in this meaning in English in the 16th century. The mathematical sense comes from the title of a 9th-century Arabic book ilm al-jabr wa'l-mukabala, ‘the science of restoring what is missing and equating like with like’, written by the mathematician al-Kwarizmi (c.790–c.840).
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