A
abelian group:阿貝爾群; absolute geometry:絕對幾何; absolute value:絕對值; abstract algebra:抽象代數(shù); addition:加法; algebra:代數(shù); algebraic closure:代數(shù)閉包; algebraic geometry:代數(shù)幾何; algebraic geometry and analytic geometry:代數(shù)幾何和解析幾何; algebraic numbers:代數(shù)數(shù); algorithm:算法; almost all:絕大多數(shù); analytic function:解析函數(shù); analytic geometry:解析幾何; and:且; angle:角度; anticommutative:反交換律; antisymmetric relation:反對稱關(guān)系; antisymmetry:反對稱性; approximately equal:約等于; Archimedean field:阿基米德域; Archimedean group:阿基米德群; area:面積; arithmetic:算術(shù); associative algebra:結(jié)合代數(shù); associativity:結(jié)合律; axiom:公理; axiom of constructibility:可構(gòu)造公理; axiom of empty set:空集公理; axiom of extensionality:外延公理; axiom of foundation:正則公理; axiom of pairing:對集公理; axiom of regularity:正則公理; axiom of replacement:代換公理; axiom of union:并集公理; axiom schema of separation:分離公理; axiom schema of specification:分離公理; axiomatic set theory:公理集合論; axiomatic system:公理系統(tǒng);
B
Baire space:貝利空間; basis:基; Bézout's identity:貝祖恒等式; Bernoulli's inequality:伯努利不等式 ; Big O notation:大O符號; bilinear operator:雙線性算子; binary operation:二元運(yùn)算; binary predicate:二元謂詞; binary relation:二元關(guān)系; Boolean algebra:布爾代數(shù); Boolean logic:布爾邏輯; Boolean ring:布爾環(huán); boundary:邊界; boundary point:邊界點(diǎn); bounded lattice:有界格;
C
calculus:微積分學(xué); Cantor's diagonal argument:康托爾對角線方法; cardinal number:基數(shù); cardinality:勢; cardinality of the continuum:連續(xù)統(tǒng)的勢; Cartesian coordinate system:直角坐標(biāo)系; Cartesian product:笛卡爾積; category:范疇; Cauchy sequence:柯西序列; Cauchy-Schwarz inequality:柯西不等式; Ceva's Theorem:塞瓦定理; characteristic:特征; characteristic polynomial:特征多項(xiàng)式; circle:圓; class:類; closed:閉集; closure:封閉性 或 閉包; closure algebra:閉包代數(shù); combinatorial identities:組合恒等式; commutative group:交換群; commutative ring:交換環(huán); commutativity::交換律; compact:緊致的; compact set:緊致集合; compact space:緊致空間; complement:補(bǔ)集 或 補(bǔ)運(yùn)算; complete lattice:完備格; complete metric space:完備的度量空間; complete space:完備空間; complex manifold:復(fù)流形; complex plane:復(fù)平面; congruence:同余; congruent:全等; connected space:連通空間; constructible universe:可構(gòu)造全集; constructions of the real numbers:實(shí)數(shù)的構(gòu)造; continued fraction:連分?jǐn)?shù); continuous:連續(xù); continuum hypothesis:連續(xù)統(tǒng)假設(shè); contractible space:可縮空間; convergence space:收斂空間; cosine:余弦; countable:可數(shù); countable set:可數(shù)集; cross product:叉積; cycle space:圈空間; cyclic group:循環(huán)群;
D
de Morgan's laws:德·摩根律; Dedekind completion:戴德金完備性; Dedekind cut:戴德金分割; del:微分算子; dense:稠密; densely ordered:稠密排列; derivative:導(dǎo)數(shù); determinant:行列式; diffeomorphism:可微同構(gòu); difference:差; differentiable manifold:可微流形; differential calculus:微分學(xué); dimension:維數(shù); directed graph:有向圖; discrete space:離散空間; discriminant:判別式; distance:距離; distributivity:分配律; dividend:被除數(shù); dividing:除; divisibility:整除; division:除法; divisor:除數(shù); dot product:點(diǎn)積;
E
eigenvalue:特征值; eigenvector:特征向量; element:元素; elementary algebra:初等代數(shù); empty function:空函數(shù); empty set:空集; empty product:空積; equal:等于; equality:等式 或 等于; equation:方程; equivalence relation:等價關(guān)系; Euclidean geometry:歐幾里德幾何; Euclidean metric:歐幾里德度量; Euclidean space:歐幾里德空間; Euler's identity:歐拉恒等式; even number:偶數(shù); event:事件; existential quantifier:存在量詞; exponential function:指數(shù)函數(shù); exponential identities:指數(shù)恒等式; expression:表達(dá)式; extended real number line:擴(kuò)展的實(shí)數(shù)軸;
F
false:假; field:域; finite:有限; finite field:有限域; finite set:有限集合; first-countable space:第一可數(shù)空間; first order logic:一階邏輯; foundations of mathematics:數(shù)學(xué)基礎(chǔ); function:函數(shù); functional analysis:泛函分析; functional predicate:函數(shù)謂詞; fundamental theorem of algebra:代數(shù)基本定理; fraction:分?jǐn)?shù);
G
H
I
identical:同一的; identity:恒等式; identity element:單位元; identity matrix:單位矩陣; idempotent:冪等; if:若; if and only if:當(dāng)且僅當(dāng); iff:當(dāng)且僅當(dāng); imaginary number:虛數(shù); inclusion:包含; index set:索引集合; indiscrete space:非離散空間; inequality:不等式 或 不等; inequality of arithmetic and geometric means:平均數(shù)不等式; infimum:下確界; infinite series:無窮級數(shù); infinite:無窮大; infinitesimal:無窮??; infinity:無窮大; initial object:初始對象; inner angle:內(nèi)角; inner product:內(nèi)積; inner product space:內(nèi)積空間; integer:整數(shù); integer sequence:整數(shù)列; integral:積分; integral domain:整數(shù)環(huán); interior:內(nèi)部; interior algebra:內(nèi)部代數(shù); interior point:內(nèi)點(diǎn); intersection:交集; inverse element:逆元; invertible matrix:可逆矩陣; interval:區(qū)間; involution:回旋; irrational number:無理數(shù); isolated point:孤點(diǎn); isomorphism:同構(gòu);