CoachEvery term, defined
Mathematics glossary
395 terms from the books, quoted word for word, each linked to its chapter.
A
- absolute convergence in a Banach space
- Absolute value
- Addition
- Adjoint; symmetric endomorphisms
- Affine function 2 definitions
- affine space
- Affine subspaces; affine maps
- Affix, modulus
- Algebra
- algebraic element
- algebraically closed field
- alternating form 2 definitions
- Analytic functions
- Angle
- Angle pairs
- Annihilator
- Approximation to a given accuracy
- Arc length
- arcsin, arccos, arctan
- Area 2 definitions
- Area by counting
- Argument, trigonometric and exponential forms
- Arithmetic and geometric sequences
- Arithmetic sequence
- Arrangements, permutations, combinations
- associate elements
- Asymptotes
- Asymptotic expansion
- Average rate of change
- Average speed
- Axis of symmetry 2 definitions
B
C
- Cauchy sequence
- Center of symmetry
- change of basis
- Change of parameter
- character
- character table
- characteristic function
- Characteristic polynomial
- cid
- Circle 2 definitions
- Classes
- closed form
- Closed set
- closure
- Collinear vectors
- Collinearity
- Collinearity, coplanarity
- Combinations
- commutator
- compact metric space
- compact operator
- compact space
- companion matrix
- comparison scale
- complete metric space 2 definitions
- Complex exponential of an imaginary argument
- Complex numbers
- Conditional probability 2 definitions
- conformal map
- Congruence 2 definitions
- Conjugate
- connected component
- connected space 2 definitions
- constructible number
- constructions
- content of a polynomial
- Continuity 2 definitions
- continuous map
- contour
- Convergent sequence
- Convex function 2 definitions
- convex set
- Coordinate system
- Coordinates of a vector
- Coordinates with signs
- cosh, sinh, tanh
- Cosine
- Cosine and sine 2 definitions
- Count and frequency
- Countable probability space
- cycle
- cyclotomic polynomial
D
- Decimal places 2 definitions
- Decimal writing
- def
- Density, continuous random variable
- Density, topological form
- derivative
- Derivative at a point 2 definitions
- Derivative, multiplicity
- Determinant
- Determinants
- Diagonalizable, trigonalizable
- differentiable
- Differential equation
- differential equation first-order linear
- differential equation second-order linear
- differential form
- Differential form; line integral
- Direction vector
- Discrete random variable; law
- Divergence to infinity
- Divisibility 2 definitions
- Divisible
- Division
- Divisor, multiple
- Dual space, dual basis
E
- eigenvalue
- Elementary domains
- Equation
- Equation, solution
- equicontinuity
- Equipotence, countability
- equivalence
- Equivalence relation
- Equivalent norms
- Euclidean domain
- Even, odd
- Everyday units
- Exact and closed forms
- Expanding
- Expanding, factoring
- Expectation 2 definitions
- Expectation and variance
- Expectation, variance, standard deviation
- Exponential distribution
- Exterior derivative
- exterior product
F
G
H
I
- Ideal 2 definitions
- improper integral
- Increasing, decreasing 2 definitions
- Independence 2 definitions
- Independent events
- Independent random variables
- Independent repetitions
- Inflection point
- Injective, surjective, bijective
- inner product 2 definitions
- integrable function
- integral
- Integral domain, field
- Integral of a form
- Integral of a positive function
- Interior, closure, boundary
- Intersection and union
- Intersection, union, complement
- Interval
- Inverse 2 definitions
- isometry
K
L
- Landau notation
- law of composition
- Least common multiple
- Lebesgue measure
- Lebesgue measure on ℝᵈ
- Length of an arc
- Limit at a point 2 definitions
- Limit at infinity
- Limit of a sequence
- Limit superior of events
- Limits, continuity
- Linear combinations, span
- linear form
- Linear function
- linear map
- Linear system
- Literal expression
- Local extremum
- locally compact space
- locally Lipschitz
- lp
M
- Map, image, preimage
- Matrix
- Matrix product
- Maximum, minimum
- Mean 2 definitions
- Mean value
- Mean, median, range
- measurable function
- measure
- Median 2 definitions
- metric space
- minimal polynomial
- modes
- module
- Mollifiers
- Moments, variance
- Monotonic sequence
- Monotonicity
- Multiple, divisor
- Multiplication 2 definitions
N
O
P
- Parabola
- Parallelogram
- Parametric representation
- Parametric representation of a line
- Parametrized arc
- parametrized curve
- Parity
- partial derivative
- path-connected space
- Percentage
- Perimeter 2 definitions
- Permutation
- Perpendicular bisector
- Perpendicular, parallel 2 definitions
- pi-system
- Place value 2 definitions
- Plane
- pointwise convergence
- polar curve
- Polygon
- Polynomial, degree
- Position words
- Power 3 definitions
- Powers, order of an element
- Prime
- prime ideal
- Prime number 2 definitions
- Primitive
- Prism, cylinder
- Probability
- Probability distribution
- Probability generating function
- Probability model
- probability space
- Product
- product σ-algebra
- projection
- Proportionality
- Proportionality table
- Pullback
- Pyramid, cone
Q
R
- Radian
- Radius of convergence
- radius of curvature
- Random variable, distribution 2 definitions
- Range, quartiles
- Rank of a family
- rank of a linear map
- rational fraction
- Reference functions
- Regular parametrized surface
- Relative numbers
- Remainder
- Repeated independent trials
- representation
- residue
- Right angle
- Ring
- Root, discriminant
- Roots of unity 2 definitions
- Rounding 3 definitions
S
- Sample
- Scalar multiple
- Scalar product 2 definitions
- Scale
- Scaling a figure
- Schwartz class
- Scientific notation
- self-adjoint operator
- semidirect product
- separable polynomial
- Sequence 2 definitions
- series
- Set operations
- Sets of numbers
- sigma-algebra
- Sign table
- simple function
- simple group
- simply connected domain
- Solids and their vocabulary
- solvable by radicals
- space
- Special quadrilaterals
- Special triangles
- Square root
- Square, rectangle, triangle
- Square, rectangle, triangle, circle
- stability (Lyapunov)
- Statement, connectives
- Statistical series
- step function
- Straight-sided and round
- Subgroup
- submanifold with boundary
- Subsequence
- Subspace
- Subtraction
- Sum of two vectors
- Sum, direct sum
- summable family
- Sylow subgroup
- Symmetric about a point
- Symmetric point
- system