## 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

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

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