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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

\(\exists\) :There exists.

\(\in\): Belongs to

\(\forall\): 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 \(…,-3,-2,-1,0, 1,2,3,…\)

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

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

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Rational number: a number of the set \(\mathbb Q=\lbrace …\frac ab:\, a\in\mathbb Z, b\in\mathbb N\rbrace\)

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

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

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

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This article is from the free online course:

Precalculus: the Mathematics of Numbers, Functions and Equations

University of Padova

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