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Mathematics Made Difficult

Index Mathematics Made Difficult

Mathematics Made Difficult is a book by Carl E. Linderholm that uses advanced mathematical methods to prove results normally shown using elementary proofs. [1]

13 relations: Counting, Element (mathematics), Elementary proof, Field (mathematics), Ideal (ring theory), Image (mathematics), Integer factorization, Mathematics, Numbering scheme, Quotient ring, Quotient space (topology), Satire, Unit (ring theory).

Counting

Counting is the action of finding the number of elements of a finite set of objects.

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Element (mathematics)

In mathematics, an element, or member, of a set is any one of the distinct objects that make up that set.

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Elementary proof

In mathematics, an elementary proof is a mathematical proof that only uses basic techniques.

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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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Ideal (ring theory)

In ring theory, a branch of abstract algebra, an ideal is a special subset of a ring.

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Image (mathematics)

In mathematics, an image is the subset of a function's codomain which is the output of the function from a subset of its domain.

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Integer factorization

In number theory, integer factorization is the decomposition of a composite number into a product of smaller integers.

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Mathematics

Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") is the study of such topics as quantity, structure, space, and change.

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Numbering scheme

There are many different numbering schemes for assigning nominal numbers to entities.

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Quotient ring

In ring theory, a branch of abstract algebra, a quotient ring, also known as factor ring, difference ring or residue class ring, is a construction quite similar to the quotient groups of group theory and the quotient spaces of linear algebra.

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Quotient space (topology)

In topology and related areas of mathematics, a quotient space (also called an identification space) is, intuitively speaking, the result of identifying or "gluing together" certain points of a given topological space.

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Satire

Satire is a genre of literature, and sometimes graphic and performing arts, in which vices, follies, abuses, and shortcomings are held up to ridicule, ideally with the intent of shaming individuals, corporations, government, or society itself into improvement.

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Unit (ring theory)

In mathematics, an invertible element or a unit in a (unital) ring is any element that has an inverse element in the multiplicative monoid of, i.e. an element such that The set of units of any ring is closed under multiplication (the product of two units is again a unit), and forms a group for this operation.

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References

[1] https://en.wikipedia.org/wiki/Mathematics_Made_Difficult

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