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The original Latin word universitas refers in general to "a number of persons associated into one body, a society, company, community, guild, corporation, etc". [13] As urban town life and medieval guilds developed, specialized associations of students and teachers with collective legal rights (these rights were usually guaranteed by charters issued by princes, prelates, or their towns) became ...
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 ...
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]
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 ...
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.
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]
Classification of finite simple groups (group theory) Classification of Platonic solids ; Clausius theorem ; Clifford's circle theorems (Euclidean plane geometry) Clifford's theorem on special divisors (algebraic curves) Closed graph theorem (functional analysis) Closed range theorem (functional analysis)
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 ...