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Algebra is the part of mathematics where you use letters (like x and y) and other signs to stand for numbers you do not know yet, or for numbers that can change. Instead of only writing 3 + 5 = 8, you write things like 2x + 3 = 11 and find what x must be.
Algebra is the part of mathematics where you use letters (like x and y) and other signs to stand for numbers you do not know yet, or for numbers that can changeAlgebra是數學裡用字母（像x和y）和其他符號來代表還不知道的數字，或會變動的數字的那個部分。Instead of only writing 3 + 5 = 8你不只寫3+5=8，you write things like 2x + 3 = 11 and find what x must be還會寫像2x+3=11這樣的式子，然後找出x必須是多少。
It is not a different kind of summing so much as a way of writing the pattern that many sums share. Students usually meet it after they are solid with ordinary numbers; later it becomes a whole language for talking about shapes, change, and relationships.
It is not a different kind of summing與其說它是另一種加減運算，so much as a way of writing the pattern that many sums share不如說它是一種寫出許多算式共有規律的方法。Students usually meet it after they are solid with ordinary numbers學生通常在把普通數字學紮實之後才會接觸它；later it becomes a whole language for talking about shapes, change, and relationships之後它會變成一整套用來談形狀、變化和關係的語言。
The name comes from an Arabic word for putting broken things back together — 'completing' a problem by moving pieces from one side of an equation to the other.
The name comes from an Arabic word for putting broken things back together這個名字來自一個阿拉伯字，意思是把破碎的東西重新拼回去 — 'completing' a problem by moving pieces from one side of an equation to the other也就是把方程式一邊的部分移到另一邊，來'補完'一個問題。
組成From Medieval Latin algebra, from Arabic al-jabr ('reunion; setting a broken bone') in the title of al-Khwarizmi's book on completing and balancing. al- is 'the'; jabr is the joining / restoring part.
同家族的字
- algebraicthe adjective: of algebra
- algebraicallythe adverb: by using algebra
原始詞典資料7 筆記錄
以下是外部詞典記錄的用法，原文照列，我們還沒有寫成教學內容。上面的說明才是我們自己寫的；有些用法可能上面已經講過了。
algebranoun/ˈæl.dʒɪ.bɹə/
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mathematicssciencesElementary algebra: A system for representing and manipulating unknown quantities (variables) in equations.
- Also the rule of false position, with dyuers examples not only vulgar, but some appertaynyng to the rule of Algeber.
- Let us conceive, then, of an Algebra in which the symbols x, y, z, &c. admit indifferently of the values 0 and 1, and of these values alone.
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mathematicssciencesAbstract algebra: A broad field of study in modern mathematics (often mentioned alongside analysis) loosely characterized by its concern for abstraction and symmetry, dealing with the behavior, classification, and application of a large class of objects (called algebraic structures) and the maps between them (called, most generally, morphisms).
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algebramathematicssciencesAny of several objects of study in Algebra
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algebramathematicssciencesAny of several objects of study in Algebra
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mathematical-analysismathematicssciencesA collection of subsets of a given set, such that this collection contains the empty set, and the collection is closed under unions and complements (and thereby also under intersections and differences).
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A system or process (especially one that is complex or convoluted) that substitutes one thing for another, or uses signs or symbols to represent concepts or ideas.
- Fly ! Fly ! avaunt with that base cowardly gibbrish ; That Algebra of honour ; which had never Been nam'd, if all had equal courage—what?
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historicalraremedicinesciencesThe surgical treatment of a dislocated or fractured bone. Also (countable): a dislocation or fracture.
- Ne take noon hede to brynge togidere þe parties of þe boon þat is to-broken or dislocate, til viij. daies ben goon in þe wyntir, & v. in þe somer; for þanne it schal make quytture, and be sikir from swellynge; & þanne brynge togidere þe brynkis eiþer þe disiuncture after þe techynge þat schal be seid in þe chapitle of algebra.
- Algebra is used today by surgeons to mean bone-setting, i.e. the restoration of bones, and the idea of restoration is present in the mathematical context, too.
資料來源：英文維基詞典 English Wiktionary（CC BY-SA 4.0）。 原文照列，未經改寫。