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Index Index

\(k\)-component of curl, Definition

area

via double integral, Definition

average value

planar region, Definition

solid region, Definition

bijective

function, Definition

Cartesian product, Definition

circulation density, Definition

continuously differentiable, Definition

curl, Definition

determinant

for \(n=2,3\), Definition

divergence, Definition

double integral

over a rectangle, Definition

over bounded region, Definition

flux

across planar curve, Definition

Fubini's theorem

elementary solid regions, Theorem

function, Definition

composition, Definition

equality, Definition

identity, Definition

image, Definition

image of a set, Definition

inverse, Definition

invertible, Definition

gradient vector field, Subsection

injective

function, Definition

integers, Definition

integrable

over a rectangle, Definition

integralable

over bounded planar region, Definition

over bounded solid region, Definition

invertible

function, Definition

Jacobian, Definition

line integral

of a vector field, Definition

of scalar function, Subsection

mass

of soli, Subsection

measurable

planar region, Definition

solid region, Definition

one-to-one

function, Definition

one-to-one correspondence, Definition

onto

function, Definition

orientation

piecewise smooth surface, Definition

smooth surface, Definition

parametrization

of a curve, Subsection Definition

of a surface, Definition

partition

norm, Definition

of rectangle, Definition

pointed, Definition Definition

sample points, Definition

path, Subsection Definition

piecewise smooth

surface, Definition

potential function, Subsection

rational numbers, Definition

real numbers, Definition

scalar curl, Definition

sets, Definition

complement, Definition

difference, Definition

empty set, Definition

empty sets, Definition

equality, Definition

inclusion, Definition

intersection, Definition

membership, Definition

set builder notation, Definition

subset, Definition

union, Definition

simply connected, Definition

substitution

polar coordinates, Theorem Theorem

spherical, Theorem

surface integral

scalar, Definition

surjective

function, Definition

tangent plane

of smooth surface parametrization, Definition

transformation, Definition

triple integral

bounded region, Definition

over box, Definition

vector field, Definition

volume

via triple integral, Definition