This article details various lists of the mathematical topics . Some of these lists are connected to hundreds of articles; some links are just a few. The template on the right includes links to the alphabetical list of all math articles. This article brings together the same content that is organized in a way more suitable for search.
The purpose of this list is not similar to the Mathematical Subject Classification formulated by the American Mathematical Society. Many mathematical journals ask the authors of research papers and expository articles to list the subject codes of the Mathematics Subject Classification on their papers. The subject code listed in the list is used by two main review databases, Maths Reviews and Zentralblatt MATH . This list has some items that do not fit in such a classification, such as a list of exponential topics and factorial and binomial topic lists, which can shock readers with their multiple scopes.
Video Lists of mathematics topics
Basic Mathematics
This branch is usually taught in secondary education or in the first year of the university.
- Discrete mathematical outline
- Calculus topic list
- List of geometry topics
- Geometry outline
- List of trigonometric topics
- The trigonometry outline
- List of trigonometric identities
- List of topics in logic
Maps Lists of mathematics topics
Advanced math area
See also Mathematics and Glossary fields of mathematics.
As a rough guide, the list is divided into pure and applied parts although in reality these branches are overlapping and interlinked.
Pure mathematics
Algebra
Algebra includes the study of algebraic structures, whose sets and operations defined on this particular set of axioms are satisfactory. The algebra field is subdivided according to the structure studied; for example, group theory concerns an algebraic structure called group .
- Algebra outline
- Abstract algebra topic list
- List of algebraic structures
- List of Boolean algebraic topics
- List of category theory topics
- List of commutative algebraic topics
- List of homologous algebraic topics
- Group topic topic list
- List of theories of representation theory
- List of linear algebraic topics
- Mutual legal list
- Glossary of field theory
- Glossary of group theory
- Glossary of linear algebra
- List of ring theories
- List of cohomology theories
Calculus and analysis
Calculus studies the calculation of boundaries, derivatives, and integral functions of real numbers, and in particular studies the rate of momentary change. Analysis evolved from calculus.
- A list of complex analytics topics
- List of functional analysis topics
- List of vector spaces in mathematics
- Integration list and measure the theory topics
- List of harmonic analysis topics
- List of Fourier analysis topics
- List of multivariable calculus topics
- List of q-analogs
- List of realistic analytics topics
- List of variation topics
- List of tensor theories
- List of mathematical series
- See also Dynamical system and differential equation section below.
Geometry and topology
Geometry was originally the study of spatial figures such as circles and cubes, although it has been broadly generalized. Topology developed from geometry; he sees properties that do not change even when the numbers are deformed by stretching and bending, like dimensions.
- List of geometry topics
- List of geometric shapes
- Curve topic list
- List of triangular topics
- List of circle topics
- List of topics related to pi
- List of common topology topics
- List of differential geometry topics
- List of algebra geometry topics
- List of algebraic surfaces
- List of algebra topology topics
- List of cohomology theories
- List of geometric topology topics
- List of node theory topics
- Lie group topic list
- Glossary of differential geometry and topology
- List of common topology terms
- List of mathematical properties of points
- Glossary of Riemannian geometry and metrics
- Glossary of Schema Theory
Combinatorics
Combinatorics involves the study of discrete (and usually limited) objects. Aspects include "counting" objects that meet certain criteria ( enumerative combinatorics ), deciding when criteria can be met, and building and analyzing objects that meet criteria (as in combinatorial designs and matroid theories >), finds the "largest", "smallest", or "optimal" ( extreme combinator and combinatorial optimizer objects), and finds the algebraic structure that this object may have (< i> combinatoric algebra ).
- Combinatoric outline
- List of graph theory topics
- Graph Theory List
Logic
Logic is the underlying foundation of mathematical logic and remaining mathematics. It tries to formulate valid reasoning. In particular, he tries to define what constitutes evidence.
- List of Boolean algebraic topics
- List of first-order theories
- List of major cardinal properties
- List of mathematical logic topics
- List of sequence theories
- List of set theory topics
Number theory
Number theory learns natural numbers, or whole. One of the central concepts in number theory is prime numbers, and there are many questions about prime numbers that seem simple but whose resolution continues to evade mathematicians.
- List of algebra theory topic numbers
- List of number theory topics
- List of recreational number theory topics
- The terms of arithmetic and Diophantine geometry
- List of primes - not just tables, but lists of various types primes (each with an accompanying table)
- List of zeta functions
Applied math
Dynamic system and differential equations
Differential equations are equations involving unknown functions and their derivatives.
In dynamic systems, rules still represent the time dependence of a point in geometry space. The mathematical model used to describe the swing of the pendulum clock, the flow of water in the pipe, or the number of fish of each spring in the lake is an example of a dynamic system.
- List of dynamic system topics and differential equations
- List of partial differential equation topics
- List of nonlinear partial differential equations
Mathematical physics
Mathematical physics deals with "the application of mathematics to problems in physics and the development of mathematical methods suitable for such applications and for the formulation of theories of physics". 1
- List of mathematical topics in classical mechanics
- List of mathematical topics in quantum theory
- List of mathematical topics in relativity
- List of string theory topics
- Wave article index
Computing
The fields of mathematics and computing cut off both in computer science, the study of algorithms and data structures, and in scientific computing, the study of algorithmic methods for solving problems in mathematics, science and engineering.
- List of common algorithmic topics
- List of computability and complexity topics List
- for computing topics in geometry and graphics
- List of combinatorial comparative geometry topics
- List of computer graphs and descriptive geometry topics
- List of numerical computing geometry topics
- List of computer vision topics
- List of formal languages ​​and string literal topics
- List of numerical analysis topics
- Glossary related to algorithm and data structure
Information theory and signal processing
Information theory is a branch of applied mathematics and electrical engineering that involves quantifying information. Historically, information theory has been developed to find fundamental limits on compressing and communicating data reliably.
Signal processing is analysis, interpretation, and signal manipulation. Attractive signals include sounds, images, biological signals such as ECG, radar signals, and many others. Processing of such signals includes filtering, storage and reconstruction, separation of information from noise, compression, and feature extraction.
- List of information theory topics
- List of algebra coding topic topics
- List of cryptographic topics
Probability and statistics
Possible theory is the formalization and study of the mathematics of events or insecure knowledge. Related fields of mathematical statistics develop statistical theory with mathematics. Statistics, the science related to data collection and analysis, is an autonomous discipline (and not a subdiscipline of applied mathematics).
- List of probability topics
- List of stochastic process topics
- List of probability distributions
- Catalog articles in probability theory
- Statistical topics list
- Outline regression analysis
Game theory
Game theory is a branch of mathematics that uses models to study interactions with formal incentive structures ("games"). It has applications in various fields, including economics, evolutionary biology, political science, social psychology and military strategy.
- List of game theoretical terms
- List of games in game theory
Operation research
Operational research is the study and use of mathematical models, statistics, and algorithms to assist in decision making, usually with the aim of improving or optimizing the performance of real-world systems.
- List of network theory topics
- Knapsack problem list
Methodology
- List of graphical methods
- List of mathematical based methods
- List of inference rules
Mathematical statements
A mathematical statement amounts to a proposition or statement of some mathematical fact, formula, or construction. Such statements include axioms and proven theorems from them, possibly unproven or unproven guesses, as well as algorithms for counting answers to questions that can be expressed mathematically.
- List of algorithms
- List of axioms
- List of conjectures
- List of allegations by Paul Erd's
- Combinatorial principle
- Equation list
- List of formulas involving pi
- List of mathematical identities
- List of inequalities
- List of lemmas
- List of mathematical proof
General concepts
- List of convexity topics
- List of dualities
- The concept list is amazing
- Exponential topic list
- List of factorial and binomial topics
- List of fractal topics
- List of logarithmic topics
- List of system topic topics
- List of order topics
- List of partition topics
- List of polynomial topics
- List of real property sets
- List of transformations
- List of permutation topics
Mathematical objects
Among mathematical objects are numbers, functions, sets, various things called "spaces" of one kind or another, algebraic structures such as rings, groups, or fields, and many other things.
- List of math examples
- List of curves
- List of complex reflection groups
- List of complexity classes
- List of examples in common topology
- List of simple groups is limited
- List of Fourier related transformations
- List of math functions
- List of nodes and mathematical links
- List of manifolds
- List of mathematical forms
- List of matrices
- List of numbers
- List of polygons, polyhedra, and poliopes
- List of regular polytopes
- List of simple Lie groups
- List of small groups
- List of special functions and eponyms
- List of algebraic surfaces
- List of surfaces
- Lie group table
The equation is named after
- Scientific equations are named after people
About math
- List of mathematical communities
- List of letters used in math and science
- List of math competitions
- List of mathematical history topics
- List of publications in mathematics
Mathematicians
Mathematicians study and research in all different areas of mathematics. The publication of new discoveries in mathematics continues at an enormous rate in hundreds of scientific journals, many of which are devoted to mathematics and much devoted to the subjects in which mathematics is applied (such as computer science theory and theoretical physics).
- Geometer list
- List of logic experts
- List of game theories
- List of mathematicians
- List of mathematical probabilist
- List of statistics
Occupations of certain mathematicians
- List of things named after Niels Henrik Abel
- A list of things called Archimedes
- A list of things called Emil Artin
- List of things called Thomas Bayes
- A list of things named ÃÆ' â € ° lie Cartan
- A list of things named after Augustin-Louis Cauchy
- A list of things called Arthur Cayley
- List of things named Richard Dedekind
- List of things named Pierre Deligne
- List of things named Peter Gustav Lejeune Dirichlet
- List of things named Albert Einstein
- A list of things called Euclid
- List of things called Leonhard Euler
- A list of things named after Paul Erd's
- List of things named Fibonacci
- A list of things named Ferdinand Georg Frobenius
- A list of things called Carl Friedrich Gauss
- List of things named ÃÆ' â € ° variste Galois
- List of things named after Jacques Hadamard
- A list of things called Erich Hecke
- A list of things Eduard Heine called
- A list of things named by Charles Hermite
- List of things named after W. V. D. Hodge
- A list of things named after Carl Gustav Jacob Jacobi
- A list of things called Felix Klein
- A list of things named after Joseph-Louis Lagrange
- List of things named Pierre-Simon Laplace
- List of things named after Adrien-Marie Legendre
- A list of things called Gottfried Leibniz
- A list of things named John Milnor
- A list of things named Isaac Newton
- A list of things named Henri PoincarÃÆ'Â ©
- List of things named by Simà ©  © in Denis Poisson
- List of things named Pythagoras
- A list of things called Srinivasa Ramanujan
- List of things named Bernhard Riemann
- List of things named Jean-Pierre Serre
- List of things named James Joseph Sylvester
- A list of things named Alfred Tarski
- List of things named Karl Weierstrass
- A list of things named AndrÃÆ' © Weil
- List of things named Hermann Weyl
- A list of things named after Ernst Witt
- A list of things named after John von Neumann References
- List of mathematical reference tables
- List of moments of inertia
- Derived table
- The integral list
- List of integral exponential functions
- List of integral hyperbolic functions
- List of integral hyperbolic inverse functions
- Integral list of inverted trigonometric functions
- Integral list of irrational functions
- List of integral logarithm functions
- List of integral rational functions
- Integral list of trigonometric functions
- List of mathematical journals
- List of mathematics education journals
- Category: History of science journals
- Category: Philosophy of science literature
- List of important publications in mathematics
- List of important publications in statistics
- List of mathematical theories
- List of math categories
- Table math symbol
- Table logic symbol
- List of unsolved issues in math
- List of topics related to?
- List of sequence theory topics
- ^ Note 1 Ã,: Definition of Journal of Mathematical Physics [1].
- 2000 Classification of Mathematics Subjects from the American Mathematical Society, a scheme writer discovered many mathematical research journals asking them to use them to classify their submissions; published later including this classification.
- Mathematical Atlas
Integral
In calculus, the integral function is the generalization of area, mass, volume, sum, and total. The following pages list the integrals of many different functions.
Journals
Meta-list
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Note
External links and references
Source of the article : Wikipedia
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