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Index Index

\(n\)-th root of unity, Exercise
addition modulo \(m\), Paragraph
algebra of sets, Exercise
argument of a complex number, Paragraph
argument of a vector, Paragraph
arithmetic sequence, Paragraph
Cartesian coordinates, Paragraph
Cartesian Plane, Paragraph
Cartesian product, Paragraph
first entry in an ordered pair, Paragraph
ordered pair, Paragraph
second entry in an ordered pair, Paragraph
characteristic function for a set, Exercise
column vector, Paragraph
common difference in an arithmetic sequence, Paragraph
common ratio in a geometric sequence, Paragraph
conjugate of a complex number, Paragraph
De Morgan’s laws, Exercise
determinant, Paragraph
distributive law for complex numbers, Paragraph
distributive law for linear mappings, Exercise
distributive law for modular arithmetic, Exercise
distributive laws for sets, Exercise
divides, Paragraph
divisible, Paragraph
Division Algorithm, Theorem
divisor, Paragraph
dot product, Paragraph
equivalence modulo an integer, Paragraph
equivalence relation, Exercise
Euler’s formula, Assemblage
exponential growth or decay, Paragraph
extended real numbers, Exercise
function, Paragraph
bijective function, Paragraph
codomain, Paragraph
composition of functions, Paragraph
domain, Paragraph
graph, Paragraph
identity function, Paragraph
image of a function, Paragraph
image of a point, Paragraph
injective function, Paragraph
inverse function, Paragraph
invertible function, Paragraph
one-to-one correspondence, Paragraph
one-to-one function, Paragraph
onto function, Paragraph
preimage of a point, Paragraph
surjective function, Paragraph
Fundamental Theorem of Arithmetic, Theorem
geometric sequence, Paragraph
identity matrix, Paragraph
if and only if, Paragraph
image of a set under a function, Paragraph
imaginary part of a complex number, Paragraph
infinite geometric series, Paragraph
initial term of a geometric sequence, Paragraph
initial term of an arithmetic sequence, Paragraph
inverse of a matrix, Paragraph
inverse relation, Paragraph
irrational number, Paragraph
linear fractional transformation, Item
linear growth or decay, Paragraph
linear mapping (or map), Paragraph
matrix, Paragraph
matrix addition, Paragraph
matrix multiplication, Paragraph
matrix scalar multiplication, Paragraph
modulus of a complex number, Paragraph
modulus of a vector, Paragraph
multiplication modulo \(m\), Paragraph
multiplicative inverse of a complex number, Paragraph
norm of a complex number, Paragraph
norm of a vector, Paragraph
origin in \(\R^2\), Paragraph
orthogonal projection of a vector onto another vector, Exercise
partition, Exercise
polar coordinates, Paragraph
polar form for a complex number, Paragraph
polar form of a vector, Paragraph
power set, Exercise
preimage of a set under a function, Paragraph
prime, Paragraph
primitive Pythagorean triple, Paragraph
primitive root of unity, Item
product of two complex numbers, Paragraph
proof by contradiction, Paragraph
pure imaginary number, Paragraph
Pythagorean triple, Paragraph
quotient, Theorem
quotient of two complex numbers, Paragraph
rational number, Paragraph
real part of a complex number, Paragraph
rectangular coordinates, Paragraph
rectangular form for a complex number, Paragraph
relation between sets, Paragraph
remainder, Theorem
scalar multiple, Paragraph
set, Paragraph
difference of sets, Paragraph
element of a set, Paragraph
equal sets, Paragraph
finite set, Paragraph
infinite set, Paragraph
intersection, Paragraph
member of a set, Paragraph
subset, Paragraph
the empty set, Paragraph
union, Paragraph
standard basis vectors in \(\R^2\), Paragraph
sum in \(\R^2\), Paragraph
sum of two complex numbers, Paragraph
the set of integers, Paragraph
the set of rational numbers, Paragraph
triangle inequality for complex numbers, Exercise
unit circle, Paragraph
wrapping function, Paragraph
zero vector, Paragraph