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An aesthetic term referring to the ability of an idea to provide insight into mathematics, whether by unifying disparate fields, introducing a new perspective on a single field, or by providing a technique of proof which is either particularly simple, or which captures the intuition or imagination as to why the result it proves is true.
This page will attempt to list examples in mathematics. To qualify for inclusion, an article should be about a mathematical object with a fair amount of concreteness. Usually a definition of an abstract concept, a theorem, or a proof would not be an "example" as the term should be understood here (an elegant proof of an isolated but particularly striking fact, as opposed to a proof of a ...
For example: Mathematics is the classification and study of all possible patterns. [14] Walter Warwick Sawyer, 1955. Yet another approach makes abstraction the defining criterion: Mathematics is a broad-ranging field of study in which the properties and interactions of idealized objects are examined. [15]
German mathematician Carl Friedrich Gauss said, "Mathematics is the queen of the sciences—and number theory is the queen of mathematics." Number theory also studies the natural, or whole, numbers. One of the central concepts in number theory is that of the prime number , and there are many questions about primes that appear simple but whose ...
Mathematics is a broad subject that is commonly divided in many areas or branches that may be defined by their objects of study, by the used methods, or by both. For example, analytic number theory is a subarea of number theory devoted to the use of methods of analysis for the study of natural numbers. This glossary is alphabetically sorted.
Popular mathematics is the act of presenting mathematics without technical terms. [208] Presenting mathematics may be hard since the general public suffers from mathematical anxiety and mathematical objects are highly abstract. [209] However, popular mathematics writing can overcome this by using applications or cultural links. [210]
A university (from Latin universitas 'a whole') is an institution of tertiary education and research which awards academic degrees in several academic disciplines. [1] University is derived from the Latin phrase universitas magistrorum et scholarium, which roughly means "community of teachers and scholars". [2]
A quadratic equation is one which includes a term with an exponent of 2, for example, , [40] and no term with higher exponent. The name derives from the Latin quadrus , meaning square. [ 41 ] In general, a quadratic equation can be expressed in the form a x 2 + b x + c = 0 {\displaystyle ax^{2}+bx+c=0} , [ 42 ] where a is not zero (if it were ...