Math A-Z

Can you name the following mathematical terms?

Real numbers that cannot be the roots of a polynomial with integer coefficients
An equation that is true regardless of the values substituted into the variables
An operation (*) for which a*b=b*a
The number of elements in a set
A ring whose nonzero elements form an abelian group under multiplication
A set with no elements
A mapping between two mathematical objects that preserves structure
An assertion that can be proved true using the rules of logic
An equation that shows the relationship between a function and its derivative(s)
General name for a vector product that results in a scalar
A property that is unchanged by a transformation
A premise. The starting point of reasoning.
A one-to-one mapping of an object onto itself
Circle of radius 1 centred at the origin
To fail to approach a finite limit
Expressing an integer as a product of primes
Product of a given integer with all other smaller positive integers
A special case that follows from a more general theorem
Switching the hypothesis and conclusion of a conditional statement and negating both
Two mathematical objects that share a one-to-one mapping between them

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