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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 ...
This is a list of mathematical logic topics. For traditional syllogistic logic, see the list of topics in logic . See also the list of computability and complexity topics for more theory of algorithms .
This is a list of recreational number theory topics (see number theory, recreational mathematics). Listing here is not pejorative: many famous topics in number theory have origins in challenging problems posed purely for their own sake. See list of number theory topics for pages dealing with aspects of number theory with more consolidated theories.
These topics are basic to the field, either as prototypical examples, or as basic objects of study. Algebraic number field. Gaussian integer, Gaussian rational; Quadratic field; Cyclotomic field; Cubic field; Biquadratic field; Quadratic reciprocity; Ideal class group; Dirichlet's unit theorem; Discriminant of an algebraic number field ...
List of complex analysis topics; List of complexity classes; List of computability and complexity topics; Computational complexity of mathematical operations; List of computer algebra systems; List of computer graphics and descriptive geometry topics; List of conjectures by Paul Erdős; List of conjectures; List of continuity-related ...
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.
Abstract algebra is the subject area of mathematics that studies algebraic structures, such as groups, rings, fields, modules, vector spaces, and algebras.The phrase abstract algebra was coined at the turn of the 20th century to distinguish this area from what was normally referred to as algebra, the study of the rules for manipulating formulae and algebraic expressions involving unknowns and ...
pi, list of topics related to pi; Squaring the circle; Proof that e is irrational; Lindemann–Weierstrass theorem; Hilbert's seventh problem; Gelfond–Schneider theorem; Erdős–Borwein constant; Liouville number; Irrationality measure; Simple continued fraction. Mathematical constant (sorted by continued fraction representation) Khinchin's ...
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