Skip main navigation
We use cookies to give you a better experience, if that’s ok you can close this message and carry on browsing. For more info read our cookies policy.
We use cookies to give you a better experience. Carry on browsing if you're happy with this, or read our cookies policy for more information.
Glossary
Glossary

Glossary

We are planning to prepare a Glossary for the course that contains a list of the key terms that are used in the course.

Which terms would you like us to explain here?

Symbols A B C D E F G H I J K L M N O P Q R S T U V W X Y Z

Symbols

\(:=\) Equal by definition. E.g., for any real number \(a\in \mathbb R\) one has \(a^2:= a\cdot a\).

\(\exists\) :There exists.

\(\in\): Belongs to

\(\subset\): Is a subset of

\(\forall\): For every

\(\mathbb N\): The set of natural numbers \(0,1,2,3,…\).

\(\mathbb Q\): The set of rational numbers.

\(\mathbb R\): The set of real numbers.

\(\mathbb Z\): The set of integer numbers \(…,-3,-2,-1,0, 1,2,3,…\): \(\mathbb N\subset\mathbb Z\subset\mathbb Q\subset\mathbb R\)

A

B

C

D

E

F

G

H

I

Integer: a number of the set \(\mathbb Z=\lbrace …,-3,-2,-1,0,1,2,3,…\rbrace\)

J

K

L

M

N

Natural number: a number of the set \(\mathbb N=\lbrace 0,1,2,3,…\rbrace\)

O

P

Q

R

Rational number: a number of the set \(\mathbb Q=\left\lbrace \dfrac ab:\, a\in\mathbb Z, b\in\mathbb Z\setminus\lbrace 0\rbrace\right\rbrace=\left\lbrace \dfrac ab:\, a\in\mathbb Z, b\in\mathbb N\setminus\lbrace 0\rbrace\right\rbrace\)

Real number: an element of \(\mathbb R\). The set \(\mathbb R\) contains the limits of sequences of rational numbers and elements like square roots, \(\pi, e,…\)

S

Square root of \(x\ge 0\): the positive number \(y\) satisfying \(y^2=x\).

\(m-\)th root of \(x\ge 0\): the positive number \(y\) satisfying \(y^m=x\).

T

U

V

W

X

Y

Z

Share this article:

This article is from the free online course:

Precalculus: the Mathematics of Numbers, Functions and Equations

University of Padova

Get a taste of this course

Find out what this course is like by previewing some of the course steps before you join:

Contact FutureLearn for Support