SafekipediaGlossary of areas of mathematics
Adapted from Wikipedia · Discoverer experience
Mathematics is a wide and fascinating subject that is often divided into many different areas or branches. These areas are defined by what they study, the methods they use, or both. For example, analytic number theory is a special part of number theory that uses tools from analysis to explore natural numbers.
This glossary lists many of these areas in alphabetical order, which means it doesn’t always show how they connect to each other. If you want to learn about the biggest parts of mathematics, you can visit Mathematics § Areas of mathematics. There is also a detailed list called the Mathematics Subject Classification, created by mathematicians to help organize books and articles about math. This system helps experts and readers find the exact area of math they are interested in.
A
Absolute differential calculus
An older name of Ricci calculus
Also called neutral geometry, a synthetic geometry similar to Euclidean geometry but without the parallel postulate.
The part of algebra devoted to the study of algebraic structures in themselves. Occasionally named modern algebra in course titles.
Abstract analytic number theory
The study of arithmetic semigroups as a means to extend notions from classical analytic number theory.
Abstract differential geometry
A form of differential geometry without the notion of smoothness from calculus. Instead it is built using sheaf theory and sheaf cohomology.
A modern branch of harmonic analysis that extends upon the generalized Fourier transforms that can be defined on locally compact groups.
A part of topology that deals with homotopic functions, i.e. functions from one topological space to another which are homotopic (the functions can be deformed into one another).
The discipline that applies mathematical and statistical methods to assess risk in insurance, finance and other industries and professions. More generally, actuaries apply rigorous mathematics to model matters of uncertainty.
The part of arithmetic combinatorics devoted to the operations of addition and subtraction.
A part of number theory that studies subsets of integers and their behaviour under addition.
A branch of geometry that deals with properties that are independent from distances and angles, such as alignment and parallelism.
The study of curve properties that are invariant under affine transformations.
A type of differential geometry dedicated to differential invariants under volume-preserving affine transformations.
A part of complex analysis being the geometric counterpart of Nevanlinna theory. It was invented by Lars Ahlfors.
One of the major areas of mathematics. Roughly speaking, it is the art of manipulating and computing with operations acting on symbols called variables that represent indeterminate numbers or other mathematical objects, such as vectors, matrices, or elements of algebraic structures.
motivated by systems of linear partial differential equations, it is a branch of algebraic geometry and algebraic topology that uses methods from sheaf theory and complex analysis, to study the properties and generalizations of functions. It was started by Mikio Sato.
an area that employs methods of abstract algebra to problems of combinatorics. It also refers to the application of methods from combinatorics to problems in abstract algebra.
An older name of computer algebra.
a branch that combines techniques from abstract algebra with the language and problems of geometry. Fundamentally, it studies algebraic varieties.
a branch of graph theory in which methods are taken from algebra and employed to problems about graphs. The methods are commonly taken from group theory and linear algebra.
an important part of homological algebra concerned with defining and applying a certain sequence of functors from rings to abelian groups.
The part of number theory devoted to the use of algebraic methods, mainly those of commutative algebra, for the study of number fields and their rings of integers.
the use of algebra to advance statistics, although the term is sometimes restricted to label the use of algebraic geometry and commutative algebra in statistics.
a branch that uses tools from abstract algebra for topology to study topological spaces.
also known as computational number theory, it is the study of algorithms for performing number theoretic computations.
an area of study based on the theory proposed by Alexander Grothendieck in the 1980s that describes the way a geometric object of an algebraic variety (such as an algebraic fundamental group) can be mapped into another object, without it being an abelian group.
A wide area of mathematics centered on the study of continuous functions and including such topics as differentiation, integration, limits, and series.
part of enumerative combinatorics where methods of complex analysis are applied to generating functions.
1. Also known as Cartesian geometry, the study of Euclidean geometry using Cartesian coordinates.
2. Analogue to differential geometry, where differentiable functions are replaced with analytic functions. It is a subarea of both complex analysis and algebraic geometry.
An area of number theory that applies methods from mathematical analysis to solve problems about integers.
Analytic theory of L-functions
a combination of various parts of mathematics that concern a variety of mathematical methods that can be applied to practical and theoretical problems. Typically the methods used are for science, engineering, finance, economics and logistics.
part of analysis that studies how well functions can be approximated by simpler ones (such as polynomials or trigonometric polynomials)
also known as Arakelov theory
an approach to Diophantine geometry used to study Diophantine equations in higher dimensions (using techniques from algebraic geometry). It is named after Suren Arakelov.
1. Also known as elementary arithmetic, the methods and rules for computing with addition, subtraction, multiplication and division of numbers.
2. Also known as higher arithmetic, another name for number theory.
See arithmetic geometry.
the study of the estimates from combinatorics that are associated with arithmetic operations such as addition, subtraction, multiplication and division.
Arithmetic dynamics is the study of the number-theoretic properties of integer, rational, p-adic, and/or algebraic points under repeated application of a polynomial or rational function. A fundamental goal is to describe arithmetic properties in terms of underlying geometric structures.
The use of algebraic geometry and more specially scheme theory for solving problems of number theory.
a combination of algebraic number theory and topology studying analogies between prime ideals and knots
Arithmetical algebraic geometry
Another name for arithmetic algebraic geometry
It uses the internal structure of the objects to derive formulas for their generating functions and then complex analysis techniques to get asymptotics.
the study of asymptotic expansions
the study of the representation theory of Artinian rings
Axiomatic geometry
also known as synthetic geometry: it is a branch of geometry that uses axioms and logical arguments to draw conclusions as opposed to analytic and algebraic methods.
the study of systems of axioms in a context relevant to set theory and mathematical logic.
B
Bifurcation theory studies how the shape and structure of patterns change. It is a part of dynamical systems theory, which looks at how systems change over time.
Biostatistics uses statistical methods to study topics in biology, like plants, animals, and living things.
Birational geometry is a part of algebraic geometry that studies shapes based on their properties. It looks at how these shapes relate to each other.
Bolyai–Lobachevskian geometry is another name for hyperbolic geometry.
C
This is a type of math that studies special kinds of algebras, which are sets with certain rules for combining elements.
See analytic geometry
Calculus is a part of math that studies how things change. It is connected by the fundamental theorem of calculus.
Also called infinitesimal calculus
This is a foundation of calculus that was developed in the 1600s. It uses very small numbers, called infinitesimals, to study change.
This extends the theory of tensor calculus to include surfaces that change shape over time.
This field is about finding the best way to maximize or minimize certain mathematical expressions called functionals. It used to be called functional calculus.
This is a part of bifurcation theory from dynamical systems theory. It is also a special case of singularity theory from geometry. It looks at the shapes that can appear in certain situations.
This is a part of category theory that connects to mathematical logic. It is based on type theory for intuitionistic logics.
This studies the properties of mathematical ideas by organizing them into collections of objects and arrows that show relationships.
This looks at how systems behave when they are very sensitive to small changes in their starting points.
This is a part of group theory that studies special features of group representations or modular representations.
This is a part of algebraic number theory that studies special kinds of number fields.
Classical differential geometry
Also known as Euclidean differential geometry. See Euclidean differential geometry.
See algebraic topology
This usually means the traditional parts of analysis, such as real analysis and complex analysis. It includes work that does not use techniques from functional analysis. It can also mean analysis done using classical math principles.
Classical analytic number theory
Classical differential calculus
Classical Diophantine geometry
See Euclidean geometry
Classical geometry
This can mean solid geometry or classical Euclidean geometry. See geometry
This part of invariant theory describes polynomial functions that stay the same even when you change them using certain rules from a linear group.
Classical mathematics
This is the usual way of doing math using classical logic and ZFC set theory.
This studies special kinds of operators in geometry and analysis using clifford algebras.
This is a part of representation theory that comes from Cliffords theorem.
This looks at the properties of special kinds of messages called codes and how good they are for certain uses.
Combinatorial commutative algebra
This is a mix of commutative algebra and combinatorics. It uses ideas from one to solve problems in the other. Polyhedral geometry is also important here.
This is a part of combinatorics that deals with creating and studying systems of finite sets that have special properties in how they overlap.
See discrete geometry
This theory studies free groups and how groups can be described. It is closely related to geometric group theory and used in geometric topology.
This area of math is mostly about counting. It looks at both the process of counting and what it tells us about certain properties of finite structures.
Also known as Infinitary combinatorics. See infinitary combinatorics
This used to be an old name for algebraic topology. It looked at properties of spaces by breaking them into smaller pieces.
This is a part of discrete mathematics that deals with countable structures. It includes enumerative combinatorics, combinatorial design theory, matroid theory, extremal combinatorics and algebraic combinatorics, as well as many more.
This is a part of abstract algebra that studies commutative rings.
This is the main part of algebraic geometry that studies the complex points of algebraic varieties.
This is a part of analysis that deals with functions that have complex numbers as inputs.
This is a part of complex dynamics that studies dynamic systems defined by analytic functions.
This applies complex numbers to plane geometry.
This is a part of differential geometry that studies complex manifolds.
This studies dynamical systems defined by iterated functions on complex number spaces.
This studies complex manifolds and functions with complex numbers. It includes complex algebraic geometry and complex analytic geometry.
This studies complex systems and includes the theory of complex systems.
This looks at which parts of real analysis and functional analysis can be done using computers. It is closely related to constructive analysis.
This is a part of model theory that deals with questions about computability.
This is a part of mathematical logic that started in the 1930s with the study of computable functions and Turing degrees. It now also includes the study of more general kinds of computability and definitions. It overlaps with proof theory and effective descriptive set theory.
Computational algebraic geometry
Computational complexity theory
This is a part of math and theoretical computer science that classifies computational problems based on how hard they are, and how these classes relate to each other.
This is a part of computer science that studies algorithms that can be described using geometry.
This studies groups using computers.
This is math research in areas where computing is important.
Also known as algorithmic number theory, this studies algorithms for doing number theoretic computations.
Computational synthetic geometry
See symbolic computation
This studies conformal transformations on a space.
This is analysis done using the principles of constructive mathematics. It is different from classical analysis.
This is a part of analysis that is closely related to approximation theory. It studies the link between how smooth a function is and how well it can be approximated.
This kind of math tends to use intuitionistic logic. This means it uses classical logic but without assuming that something must either be true or false.
Constructive quantum field theory
This is a part of mathematical physics that shows that quantum theory works mathematically with special relativity.
This is an approach to mathematical constructivism that follows the rules of axiomatic set theory, using the usual language of classical set theory.
This is a part of differential geometry and topology. It is closely related to symplectic geometry and is like the odd-dimensional version of it. It studies a special structure called a contact structure on a differentiable manifold.
This studies the properties of convex functions and convex sets.
This part of geometry studies convex sets.
See analytic geometry
This is a part of differential geometry that studies CR manifolds.
D
Derived noncommutative algebraic geometry
a part of mathematical logic, more specifically a part of set theory dedicated to the study of Polish spaces.
Differential algebraic geometry
the adaption of methods and concepts from algebraic geometry to systems of algebraic differential equations.
The branch of calculus contrasted to integral calculus, and concerned with derivatives.
the study of the Galois groups of differential fields.
a form of geometry that uses techniques from integral and differential calculus as well as linear and multilinear algebra to study problems in geometry. Classically, these were problems of Euclidean geometry, although now it has been expanded. It is generally concerned with geometric structures on differentiable manifolds. It is closely related to differential topology.
Differential geometry of curves
the study of smooth curves in Euclidean space by using techniques from differential geometry
Differential geometry of surfaces
the study of smooth surfaces with various additional structures using the techniques of differential geometry.
a branch of topology that deals with differentiable functions on differentiable manifolds.
in general the study of algebraic varieties over fields that are finitely generated over their prime fields.
Discrete differential geometry
a branch of geometry that studies combinatorial properties and constructive methods of discrete geometric objects.
the study of mathematical structures that are fundamentally discrete rather than continuous.
a combinatorial adaption of Morse theory.
a branch that studies special kinds of partially ordered sets (posets) commonly called domains.
the study of smooth 4-manifolds using gauge theory.
an area used to describe the behavior of the complex dynamical systems, usually by employing differential equations or difference equations.
E
Econometrics uses math and statistical methods to study economic data.
Elementary algebra builds on elementary arithmetic by introducing variables. Elementary arithmetic is the basic math taught in early school, including adding, subtracting, multiplying, and dividing with whole numbers, fractions, and negative numbers.
Elementary mathematics covers math topics taught in primary and secondary school, such as elementary arithmetic, geometry, probability, and statistics. It also includes elementary algebra and trigonometry, but not usually calculus.
Elliptic geometry is a type of non-Euclidean geometry based on spherical geometry and does not follow Euclid's parallel postulate.
Enumerative combinatorics counts the number of ways certain patterns can be formed. Extremal combinatorics looks at the largest or smallest possible sizes of collections of objects under certain rules.
F
This area of algebra focuses on fields, a special type of algebraic structure.
This is a part of model theory that looks at interpretations on finite structures.
This is a part of differential geometry that studies Finsler manifolds, which are a more general idea than Riemannian manifolds.
This studies how general functions can be shown or estimated using sums of trigonometric functions.
This area of analysis looks at the possibility of using real or complex powers of the differentiation operator.
This examines the behavior of objects and systems described using differentiation and integration of fractional orders, using methods from fractional calculus.
This is part of spectral theory that studies integral equations.
This term usually means mathematical analysis.
This is a part of mathematical analysis that mainly studies function spaces, which are types of topological vector spaces.
Originally, this term meant the same as calculus of variations, but today it refers to a part of functional analysis linked to spectral theory.
This branch of mathematics is based on fuzzy set theory and fuzzy logic.
This form of set theory studies fuzzy sets, which are sets where items can have different levels of membership.
G
Galois cohomology is a way to study groups using methods from algebra. It looks at how groups act on certain mathematical structures.
Galois theory is named after Évariste Galois and connects two areas of algebra: fields and groups. It helps us understand the relationships between these two.
Game theory studies how people or things make decisions when they depend on each other. It uses math to model these strategies.
General topology is a branch of topology that studies spaces and their properties, without needing them to look like normal shapes.
Geometric algebra is a way to use algebra to describe geometry, showing how shapes and algebraic objects relate.
Geometric combinatorics is a part of combinatorics that looks at geometric shapes and their properties, like the faces of polyhedra or the intersections of shapes.
Graph theory is the study of graphs, which are structures made of points and lines connecting them. It has many uses in real life, like modeling networks and relationships.
Group theory is the study of groups, which are special kinds of algebraic structures that follow certain rules.
Geometry is a branch of math that studies shapes and spaces. It started with looking at length, area, and volume, and grew to include many different kinds of geometry like Euclidean, projective, and non-Euclidean geometry.
H
see classical analysis
This area of mathematics looks at how functions can be shown using waves. It builds on ideas from Fourier series and Fourier transforms, which are parts of Fourier analysis.
This is a part of category theory that looks closer at the connections between things, using special arrows to study their structures.
This studies structures that are made more complex.
This method helps us understand certain properties of smooth shapes by using partial differential equations.
Holomorphic functional calculus
This branch of mathematics begins with holomorphic functions.
This studies patterns in algebra using homology.
Also called Lobachevskian geometry or Bolyai-Lobachevskian geometry, this is a type of non-Euclidean geometry that explores hyperbolic space.
hyperbolic trigonometry
This studies hyperbolic triangles in hyperbolic geometry, or special hyperbolic functions in regular geometry. Other types include gyrotrigonometry and universal hyperbolic trigonometry.
This extends the study of functions to include numbers that are more complex.
I
Ideal theory was an early name for what we now call commutative algebra. It focuses on ideals within commutative rings.
Idempotent analysis looks at special number systems called idempotent semirings, like the tropical semiring.
Incidence geometry studies how different geometric shapes, such as curves and lines, relate to each other.
Infinitary combinatorics expands combinatorics — the study of arrangements — to include infinite sets.
Infinitesimal analysis and infinitesimal calculus are older names for the calculus of infinitesimals.
Information geometry combines ideas from differential geometry to study probability theory and statistics. It looks at special spaces called statistical manifolds that are tied to probability distributions.
Integral calculus is a part of calculus that deals with integralss, unlike differential calculus.
Integral geometry studies measures in space that stay the same even when the space is moved or turned.
Intersection theory is a part of both algebraic geometry and algebraic topology.
Intuitionistic type theory is a way to build the foundations of mathematics.
Invariant theory examines how functions change — or don’t change — when group actions are applied to shapes.
Inversive geometry studies properties that stay the same after a special kind of transformation called inversion.
Inversive plane geometry is inversive geometry limited to flat, two-dimensional space.
Itô calculus expands calculus to work with unpredictable processes like Brownian motion, useful in mathematical finance and stochastic differential equations.
Iwasawa theory studies number theory problems over endless chains of number fields.
J
Job shop scheduling is a way to organize tasks and machines to get work done efficiently. It helps plan when and where each job should be done to save time and resources. This method is often used in factories and workplaces to make sure everything runs smoothly.
Main article: Job shop scheduling
K
K-theory began as a way to study special kinds of shapes called vector bundles over spaces. In topology, it is known as topological K-theory, while in algebra and geometry, it is called algebraic K-theory. K-theory also shows up in some parts of physics, like string theory.
Other related ideas include K-homology, which studies certain properties of spaces, and Kähler geometry, which combines different types of geometry to study special shapes called Kähler manifolds. There is also knot theory, which is part of topology and looks at how knots are formed.
L
L-theory is linked to the K-theory of quadratic forms.
Large deviations theory is a part of probability theory that looks at events that are very unlikely, called tail events. Large sample theory, also known as asymptotic theory, studies lattices which are important in order theory and universal algebra. This includes areas like Lie algebra theory, Lie group theory, and Lie sphere geometry, which is a geometrical theory of planar or spatial geometry focusing on the circle or sphere.
Line geometry and Linear algebra study linear spaces and linear maps, with uses in many areas like abstract algebra. Linear programming is a way to find the best result, like the most profit or least cost, in a mathematical model with linear relationships. There is also a List of graphical methods that includes different ways to show information using diagrams, charts, and plots.
M
Malliavin calculus is a set of math tools that extend calculus of variations to work with stochastic processes.
Mathematical biology uses mathematical modeling to study living things. Mathematical chemistry uses the same kind of modeling for chemical reactions. Mathematical economics applies math to understand economic ideas, while mathematical finance uses applied mathematics to model financial markets.
Mathematical logic looks at how formal logic can be used in math. Mathematical optimization and mathematical physics develop math methods to solve physics problems. Mathematical psychology uses mathematical modeling to study how people think and act. Mathematical sciences includes areas like statistics, cryptography, game theory, and actuarial science.
Mathematical sociology uses math to build theories about society. Mathematical statistics uses probability theory to work with data. Matrix algebra, matrix calculus, and matrix theory are all about matrices, which are tables of numbers used in many areas of math.
N
Neutral geometry is related to absolute geometry.
Nevanlinna theory is a part of complex analysis that looks at how meromorphic functions behave, named after Rolf Nevanlinna.
Nielsen theory is an area of math that started from fixed point topology and was developed by Jakob Nielsen.
Non-abelian class field theory, Non-classical analysis, Non-Euclidean geometry, Non-standard analysis, Non-standard calculus, and Nonarchimedean dynamics (also called p-adic analysis or local arithmetic dynamics) are all special areas of math study.
Noncommutative algebra includes Noncommutative algebraic geometry, which is a part of noncommutative geometry that looks at the geometric properties of certain math objects.
Noncommutative geometry and Noncommutative harmonic analysis (see representation theory) and Noncommutative topology are all areas of math research.
Nonlinear analysis and Nonlinear functional analysis are fields that study complex mathematical functions.
Number theory is a branch of pure mathematics that mainly studies the integers. It was originally called arithmetic or higher arithmetic.
Numerical analysis and Numerical linear algebra are important areas of math used for solving problems with numbers.
O
Operad theory is a part of algebra that studies basic structures in other types of algebra, called algebras. Operation research looks at ways to make processes work better. Operator K-theory and Operator theory are parts of functional analysis that focus on special math objects called operators. Optimal control theory extends ideas from the calculus of variations. Optimal maintenance deals with keeping things working best. Orbifold theory is another area of abstract math. Order theory studies how things can be arranged using connections called binary relations. Ordered geometry is a type of geometry that doesn’t measure distances but looks at how points sit between each other. It helps connect affine geometry, absolute geometry, and hyperbolic geometry. Oscillation theory is also a part of mathematics.
P
p-adic analysis is a part of number theory that looks at functions using special numbers called p-adic numbers. p-adic dynamics uses these ideas to study certain types of equations. Paraconsistent mathematics is an interesting area that tries to build math using different rules than usual.
Other areas include partition theory, perturbation theory, and plane geometry, which focuses on shapes and spaces we can imagine. Polyhedral combinatorics studies the shapes of simple 3D figures, while probability theory deals with chance and likelihood. Projective geometry looks at properties of shapes that stay the same even when we change how we view them. Pure mathematics is all about studying ideas that don’t need real-world examples.
Q
Quantum calculus is a special kind of calculus that does not use the idea of limits.
Quantum geometry extends geometry to help explain the strange behaviors seen in the tiny world of quantum physics. Quaternionic analysis is another area of mathematics that studies numbers in a unique way.
R
Ramsey theory looks at when order must appear, named after Frank P. Ramsey.
Rational geometry studies parts of algebra related to real algebraic geometry.
Real algebraic geometry focuses on real points in algebraic shapes.
Real analysis is a type of math that studies real numbers and their functions, exploring ideas like continuity and smoothness. It also extends these ideas to complex numbers in complex analysis.
Recreational mathematics is fun math, including mathematical puzzles and mathematical games.
Representation theory studies algebraic structures by showing their elements as linear transformations of vector spaces.
Ribbon theory is a part of topology that looks at ribbons.
Ricci calculus, also called absolute differential calculus, is a foundation of tensor calculus, created by Gregorio Ricci-Curbastro and used in general relativity and differential geometry.
Riemannian geometry studies special spaces called Riemannian manifolds, expanding ideas from regular geometry, analysis, and calculus. It is named after Bernhard Riemann.
S
the study of schemes introduced by Alexander Grothendieck. It helps us understand shapes using special tools called sheaves.
a part of geometry that looks at special sets of points.
This looks at how small and large parts of shapes are connected.
studies the properties of single operations.
a part of geometry that looks at where shapes can break or change suddenly.
a careful way to study very tiny changes using special math tools.
studies how the shapes of objects relate to their natural vibrations.
looks at the properties of networks using tools from matrices.
part of operator theory that extends ideas of special numbers and directions from simple math to more complex systems.
Spectral theory of ordinary differential equations
part of spectral theory that studies solutions to certain equations.
Spectrum continuation analysis
extends the idea of breaking functions into patterns to those that are not repeating.
a branch of geometry that studies the surface of a sphere.
a part of spherical geometry that studies shapes on the surface of a sphere, usually triangles.
the math used to study patterns and chances. This includes probability theory.
Stochastic calculus of variations
the study of random patterns of points.
a part of geometry that changes one shape into another in a controlled way.
also known as algebraic computation. It is about working with math expressions using symbols, not just numbers.
a branch of geometry and topology that studies special kinds of shapes.
Synthetic differential geometry
a new way to look at shapes using special logic and language.
also known as axiomatic geometry. It is a branch of geometry that uses basic rules and logical thinking to learn about shapes.
a branch of geometry that studies special measurements of shapes and solids.
the study of special lines in curved geometry.
T
Tensor algebra, Tensor analysis, Tensor calculus, Tensor theory study and use tensors, which are like general versions of vectors. A tensor algebra is a special kind of math structure used to define tensors.
Tessellation refers to patterns where tiles repeat over and over.
Theoretical physics is a part of science that uses math to explain and predict how things happen in the world.
Theory of computation, Time-scale calculus, and Topology are all areas that explore different mathematical ideas and problem-solving methods.
Topological combinatorics uses ideas from topology to solve problems in organizing and counting.
Topological degree theory, Topological graph theory, Topological K-theory, and Topos theory are all branches of topology that look at different mathematical structures.
Toric geometry and Transcendental number theory study special kinds of numbers and shapes.
Transformation geometry looks at how shapes change when moved or turned.
Trigonometry is the study of triangles and how their sides and angles are related, which is important in many areas of math.
Tropical analysis is another name for idempotent analysis.
Tropical geometry, Twisted K-theory, and Type theory are advanced areas of math that connect different branches of the subject.
U
The umbral calculus is a special way of studying something called Sheffer sequences. Uncertainty theory is a new part of mathematics that focuses on ideas like normality and how things change step by step.
Universal algebra looks at the basic rules that shape different mathematical structures. Universal hyperbolic trigonometry is a way to understand curved space using ideas from rational geometry.
Main article: Umbral calculus
Main articles: Universal algebra, Universal hyperbolic trigonometry
V
Vector algebra is a part of linear algebra that focuses on adding vectors and multiplying them by numbers. It also includes special operations like the dot product and cross product, and is different from geometric algebra, which works in more than three dimensions.
Vector analysis, also called vector calculus, is a part of multivariable calculus. It studies how vector fields change and combine in three-dimensional space, using methods like differentiation and integration.
W
Wavelets are special tools used in mathematics to look at data in different ways. They help us see patterns and details that might be hard to notice otherwise, like zooming in and out on a picture. These tools are useful in many areas, such as studying sound, images, and other types of information.
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