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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 ...
Each entry below is an outline, an introduction to a subject structured as a hierarchical list of the essential points. Each of these outlines focuses on a mathematics or logic. Along with Wikipedia:Contents/Outlines, the outlines on Wikipedia form an all
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Also called infinitesimal calculus A foundation of calculus, first developed in the 17th century, that makes use of infinitesimal numbers. Calculus of moving surfaces an extension of the theory of tensor calculus to include deforming manifolds. Calculus of variations the field dedicated to maximizing or minimizing functionals. It used to be called functional calculus. Catastrophe theory a ...
Mathematics – study of quantity, structure, space, and change. Mathematicians seek out patterns, and formulate new conjectures. (See also: Lists of mathematics topics) Arithmetic – the oldest and most elementary branch of mathematics, involving the study of quantity, especially as the result of combining numbers. The simplest arithmetical ...
Combinatorics – the branch of mathematics concerning the study of finite or countable discrete structures. Geometry – this is one of the oldest branches of mathematics, it is concerned with questions of shape, size, relative position of figures, and the properties of space. Algebraic geometry – study of zeros of multivariate polynomials.
In mathematics, the curve-shortening flow is a process that modifies a smooth curve in the Euclidean plane by moving its points perpendicularly to the curve at a speed proportional to the curvature. The curve-shortening flow is an example of a geometric flow , and is the one-dimensional case of the mean curvature flow .
Mathematics has a remarkable ability to cross cultural boundaries and time periods. As a human activity, the practice of mathematics has a social side, which includes education, careers, recognition, popularization, and so on. In education, mathematics is a core part of the curriculum and forms an important element of the STEM academic disciplines.