# Number Theory/Notation and Introduction to proof

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# Notation

${\displaystyle \mathbb {N} \,}$ is the set of positive integers, also called the natural numbers.

${\displaystyle \mathbb {Z} \,}$ is the set of all integers.

${\displaystyle \mathbb {Q} \,}$ is the set of all rational numbers.

${\displaystyle \mathbb {A} \,}$ is the set of algebraic numbers.

${\displaystyle \mathbb {R} \,}$ is the set of real numbers.

${\displaystyle \mathbb {C} \,}$ is the set of complex numbers.