Concept information
Preferred term
mathematical analysis
Definition
- Analysis is the branch of mathematics dealing with continuous functions, limits, and related theories, such as differentiation, integration, measure, infinite sequences, series, and analytic functions. These theories are usually studied in the context of real and complex numbers and functions. Analysis evolved from calculus, which involves the elementary concepts and techniques of analysis. Analysis may be distinguished from geometry; however, it can be applied to any space of mathematical objects that has a definition of nearness (a topological space) or specific distances between objects (a metric space). (Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Mathematical_analysis)
Broader concept
Narrower concepts
- Airy function
- analytic function
- asymptotic approximation
- Bessel function
- binomial coefficient
- boundary condition
- complex analysis
- difference equation
- differential calculus
- differential equation
- discretization method
- error analysis
- finite difference
- Fourier analysis
- functional analysis
- functional equation
- function of several real variables
- initial condition
- integro-differential equation
- Lebesgue integral
- multiple integral
- operator theory
- path integral
- pseudo-differential operator
- rational function
- real-valued function
- rotational invariance
- sensitivity analysis
- special function
- transfer-matrix method
In other languages
-
French
URI
http://data.loterre.fr/ark:/67375/MDL-X9JKQRWN-9
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