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23 relations: Abstract algebra, Binomial coefficient, Binomial theorem, Characteristic (algebra), Commutative ring, Distributive property, Endomorphism, Exponentiation, Factorial, Fermat's little theorem, Field (mathematics), FOIL method, Fraction (mathematics), Frobenius endomorphism, Modular curve, Polynomial ring, Primality test, Prime number, Saunders Mac Lane, Sophomore's dream, Stephen Cole Kleene, Susan Montgomery, Thomas W. Hungerford.
Abstract algebra
In algebra, which is a broad division of mathematics, abstract algebra (occasionally called modern algebra) is the study of algebraic structures.
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Binomial coefficient
In mathematics, any of the positive integers that occurs as a coefficient in the binomial theorem is a binomial coefficient.
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Binomial theorem
In elementary algebra, the binomial theorem (or binomial expansion) describes the algebraic expansion of powers of a binomial.
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Characteristic (algebra)
In mathematics, the characteristic of a ring R, often denoted char(R), is defined to be the smallest number of times one must use the ring's multiplicative identity (1) in a sum to get the additive identity (0) if the sum does indeed eventually attain 0.
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Commutative ring
In ring theory, a branch of abstract algebra, a commutative ring is a ring in which the multiplication operation is commutative.
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Distributive property
In abstract algebra and formal logic, the distributive property of binary operations generalizes the distributive law from boolean algebra and elementary algebra.
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Endomorphism
In mathematics, an endomorphism is a morphism (or homomorphism) from a mathematical object to itself.
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Exponentiation
Exponentiation is a mathematical operation, written as, involving two numbers, the base and the exponent.
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Factorial
In mathematics, the factorial of a non-negative integer n, denoted by n!, is the product of all positive integers less than or equal to n. For example, The value of 0! is 1, according to the convention for an empty product.
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Fermat's little theorem
Fermat's little theorem states that if is a prime number, then for any integer, the number is an integer multiple of.
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Field (mathematics)
In mathematics, a field is a set on which addition, subtraction, multiplication, and division are defined, and behave as when they are applied to rational and real numbers.
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FOIL method
In elementary algebra, FOIL is a mnemonic for the standard method of multiplying two binomials—hence the method may be referred to as the FOIL method.
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Fraction (mathematics)
A fraction (from Latin fractus, "broken") represents a part of a whole or, more generally, any number of equal parts.
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Frobenius endomorphism
In commutative algebra and field theory, the Frobenius endomorphism (after Ferdinand Georg Frobenius) is a special endomorphism of commutative rings with prime characteristic, an important class which includes finite fields.
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Modular curve
In number theory and algebraic geometry, a modular curve Y(Γ) is a Riemann surface, or the corresponding algebraic curve, constructed as a quotient of the complex upper half-plane H by the action of a congruence subgroup Γ of the modular group of integral 2×2 matrices SL(2, Z).
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Polynomial ring
In mathematics, especially in the field of abstract algebra, a polynomial ring or polynomial algebra is a ring (which is also a commutative algebra) formed from the set of polynomials in one or more indeterminates (traditionally also called variables) with coefficients in another ring, often a field.
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Primality test
A primality test is an algorithm for determining whether an input number is prime.
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Prime number
A prime number (or a prime) is a natural number greater than 1 that cannot be formed by multiplying two smaller natural numbers.
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Saunders Mac Lane
Saunders Mac Lane (4 August 1909 – 14 April 2005) was an American mathematician who co-founded category theory with Samuel Eilenberg.
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Sophomore's dream
In mathematics, sophomore's dream is the pair of identities (especially the first) \int_0^1 x^\,dx &.
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Stephen Cole Kleene
Stephen Cole Kleene (January 5, 1909 – January 25, 1994) was an American mathematician.
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Susan Montgomery
M.
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Thomas W. Hungerford
Thomas William Hungerford (March 21, 1936 – November 28, 2014) was an American mathematician who worked in algebra and mathematics education.
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Child's Binomial Theorem, Child's binomial theorem, Freshman exponentiation, Freshman's Dream, Freshman's dream theorem, Freshmans dream, Freshmen's dream.
References
[1] https://en.wikipedia.org/wiki/Freshman's_dream
