Functional analysis and List of academic fields

Shortcuts: Differences, Similarities, Jaccard Similarity Coefficient, References.

Difference between Functional analysis and List of academic fields

Functional analysis vs. List of academic fields

Functional analysis is a branch of mathematical analysis, the core of which is formed by the study of vector spaces endowed with some kind of limit-related structure (e.g. inner product, norm, topology, etc.) and the linear functions defined on these spaces and respecting these structures in a suitable sense. The following outline is provided as an overview of an topical guide to academic disciplines: An academic discipline or field of study is known as a branch of knowledge.

Combinatorics

Combinatorics is an area of mathematics primarily concerned with counting, both as a means and an end in obtaining results, and certain properties of finite structures.

Combinatorics and Functional analysis · Combinatorics and List of academic fields · See more »

Ergodic theory

Ergodic theory (Greek: έργον ergon "work", όδος hodos "way") is a branch of mathematics that studies dynamical systems with an invariant measure and related problems.

Ergodic theory and Functional analysis · Ergodic theory and List of academic fields · See more »

Linear algebra

Linear algebra is the branch of mathematics concerning linear equations such as linear functions such as and their representations through matrices and vector spaces.

Functional analysis and Linear algebra · Linear algebra and List of academic fields · See more »

Mathematical analysis

Mathematical analysis is the branch of mathematics dealing with limits and related theories, such as differentiation, integration, measure, infinite series, and analytic functions.

Functional analysis and Mathematical analysis · List of academic fields and Mathematical analysis · See more »

Mathematical physics

Mathematical physics refers to the development of mathematical methods for application to problems in physics.

Functional analysis and Mathematical physics · List of academic fields and Mathematical physics · See more »

Measure (mathematics)

In mathematical analysis, a measure on a set is a systematic way to assign a number to each suitable subset of that set, intuitively interpreted as its size.

Functional analysis and Measure (mathematics) · List of academic fields and Measure (mathematics) · See more »

Noncommutative geometry

Noncommutative geometry (NCG) is a branch of mathematics concerned with a geometric approach to noncommutative algebras, and with the construction of spaces that are locally presented by noncommutative algebras of functions (possibly in some generalized sense).

Functional analysis and Noncommutative geometry · List of academic fields and Noncommutative geometry · See more »

Operator theory

In mathematics, operator theory is the study of linear operators on function spaces, beginning with differential operators and integral operators.

Functional analysis and Operator theory · List of academic fields and Operator theory · See more »

Probability

Probability is the measure of the likelihood that an event will occur.

Functional analysis and Probability · List of academic fields and Probability · See more »

Quantum mechanics

Quantum mechanics (QM; also known as quantum physics, quantum theory, the wave mechanical model, or matrix mechanics), including quantum field theory, is a fundamental theory in physics which describes nature at the smallest scales of energy levels of atoms and subatomic particles.

Functional analysis and Quantum mechanics · List of academic fields and Quantum mechanics · See more »

Representation theory

Representation theory is a branch of mathematics that studies abstract algebraic structures by representing their elements as linear transformations of vector spaces, and studies modules over these abstract algebraic structures.

Functional analysis and Representation theory · List of academic fields and Representation theory · See more »

Vector space

A vector space (also called a linear space) is a collection of objects called vectors, which may be added together and multiplied ("scaled") by numbers, called scalars.

Functional analysis and Vector space · List of academic fields and Vector space · See more »