A mathematical statement amounts to a proposition or assertion of some mathematical fact, formula, or construction. Lists cover aspects of basic and advanced mathematics, methodology, mathematical statements, integrals, general concepts, mathematical objects, integrals and reference tables. n T Such statements include axioms and the theorems that may be proved from them, conjectures that may be unproven or even unprovable, and also algorithms for computing the answers to questions that can be expressed mathematically. This list has some items that would not fit in such a classification, such as list of exponential topics and list of factorial and binomial topics, which may surprise the reader with the diversity of their coverage. | where s= Surface area. Iterated exponential and related functions, https://en.wikipedia.org/w/index.php?title=List_of_mathematical_functions&oldid=976107895, Short description is different from Wikidata, Creative Commons Attribution-ShareAlike License, This page was last edited on 1 September 2020, at 07:09. In particular, it attempts to define what constitutes a proof. It can be used in conjunction with other tools for evaluating sums. Signals of interest include sound, images, biological signals such as ECG, radar signals, and many others.
Sums of sines and cosines arise in Fourier series. {\textstyle H_{n}=\sum _{j=1}^{n}{\frac {1}{j}}} The subject codes so listed are used by the two major reviewing databases, Mathematical Reviews and Zentralblatt MATH. This list of mathematical series contains formulae for finite and infinite sums. Analysis evolved from calculus. Lists cover aspects of basic and advanced mathematics, methodology, mathematical statements, integrals, general concepts, mathematical objects, integrals and Game theory is a branch of mathematics that uses models to study interactions with formalized incentive structures ("games"). Since the Renaissance, every century has seen the solution of more mathematical problems than the century before, yet many mathematical problems, both major and minor, still remain unsolved. Dynamical systems and differential equations, List of integration and measure theory topics, Glossary of differential geometry and topology, List of mathematical properties of points, Glossary of Riemannian and metric geometry, List of recreational number theory topics, Glossary of arithmetic and Diophantine geometry, List of dynamical systems and differential equations topics, List of partial differential equation topics, List of nonlinear partial differential equations, List of mathematical topics in classical mechanics, List of mathematical topics in quantum theory, List of mathematical topics in relativity, List of computability and complexity topics, List of combinatorial computational geometry topics, List of computer graphics and descriptive geometry topics, List of numerical computational geometry topics, List of formal language and literal string topics, List of terms relating to algorithms and data structures, Catalog of articles in probability theory, List of polygons, polyhedra and polytopes, List of letters used in mathematics and science, Category:Lists of things named after mathematicians, List of things named after Niels Henrik Abel, List of things named after Augustin-Louis Cauchy, List of things named after Richard Dedekind, List of things named after Pierre Deligne, List of things named after Peter Gustav Lejeune Dirichlet, List of things named after Albert Einstein, List of things named after Leonhard Euler, List of things named after Ferdinand Georg Frobenius, List of things named after Carl Friedrich Gauss, List of things named after Évariste Galois, List of things named after Jacques Hadamard, List of things named after Charles Hermite, List of things named after W. V. D. Hodge, List of things named after Carl Gustav Jacob Jacobi, List of things named after Joseph-Louis Lagrange, List of things named after Pierre-Simon Laplace, List of things named after Adrien-Marie Legendre, List of things named after Gottfried Leibniz, List of things named after Henri Poincaré, List of things named after Siméon Denis Poisson, List of things named after Srinivasa Ramanujan, List of things named after Bernhard Riemann, List of things named after Jean-Pierre Serre, List of things named after James Joseph Sylvester, List of things named after Karl Weierstrass, List of things named after John von Neumann, List of integrals of exponential functions, List of integrals of hyperbolic functions, List of integrals of inverse hyperbolic functions, List of integrals of inverse trigonometric functions, List of integrals of irrational functions, List of integrals of logarithmic functions, List of integrals of trigonometric functions, Category:Philosophy of science literature, List of important publications in mathematics, List of important publications in statistics, Lists of unsolved problems in mathematics, https://en.wikipedia.org/w/index.php?title=Lists_of_mathematics_topics&oldid=975280846, Short description is different from Wikidata, Creative Commons Attribution-ShareAlike License, This article includes a mathematics-related, Lists for computational topics in geometry and graphics, This page was last edited on 27 August 2020, at 18:46. Transcendental functions are functions that are not algebraic. ) In mathematics, some functions or groups of functions are important enough to deserve their own names.This is a listing of articles which explain some of these functions in more detail. Some of these lists link to hundreds of articles; some link only to a few. j In mathematics, some functions or groups of functions are important enough to deserve their own names. 1 Aspects include "counting" the objects satisfying certain criteria (enumerative combinatorics), deciding when the criteria can be met, and constructing and analyzing objects meeting the criteria (as in combinatorial designs and matroid theory), finding "largest", "smallest", or "optimal" objects (extremal combinatorics and combinatorial optimization), and finding algebraic structures these objects may have (algebraic combinatorics). This branch is typically taught in secondary education or in the first year of university. Operations research is the study and use of mathematical models, statistics and algorithms to aid in decision-making, typically with the goal of improving or optimizing performance of real-world systems. = A modern, abstract point of view contrasts large function spaces, which are infinite-dimensional and within which most functions are 'anonymous', with special functions picked out by properties such as symmetry, or relationship to harmonic analysis and group representations. Interest = principal × rate of interest × time. Discount rate = discount ÷ list price. A differential equation is an equation involving an unknown function and its derivatives. The field of algebra is further divided according to which structure is studied; for instance, group theory concerns an algebraic structure called group. German mathematician Carl Friedrich Gauss said, "Mathematics is the queen of the sciences—and number theory is the queen of mathematics."

The template to the right includes links to alphabetical lists of all mathematical articles. Combinatorics concerns the study of discrete (and usually finite) objects. 1 is the Touchard polynomials. z Commission = cost of service × commission rate. They also cover equations named after people, societies, mathematicians, journals and meta-lists. (See harmonic numbers, themselves defined Topology developed from geometry; it looks at those properties that do not change even when the figures are deformed by stretching and bending, like dimension. This article brings together the same content organized in a manner better suited for browsing. SURFACE AREA (SA)of a: cube SA = 6 O 6where s = any side cylinder (lateral) 5 # L2 è N D; where π=3.14, r = radius, and h = height. Sales tax = price of item × tax rate. The mathematical models used to describe the swinging of a clock pendulum, the flow of water in a pipe, or the number of fish each spring in a lake are examples of dynamical systems.

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