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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
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 – 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 ...
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Algebraic coding theory – aka coding theory, is the study of the properties of codes and their respective fitness for specific applications. Boolean algebra – branch of algebra in which the values of the variables are the truth values true and false, usually denoted 1 and 0, respectively.
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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 ...
Algebra is one of the main branches of mathematics, covering the study of structure, relation and quantity. Algebra studies the effects of adding and multiplying numbers , variables , and polynomials , along with their factorization and determining their roots .