Mathematical analysis (nonfiction): Difference between revisions
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[[File: | [[File:Archimedes method of exhaustion compute area inside circle.svg|thumb|[[Archimedes (nonfiction)|Archimedes]] used the method of exhaustion to compute the area inside a circle by finding the area of regular polygons with more and more sides. This was an early but informal example of a [[Limit (nonfiction)|limit]], one of the most basic concepts in mathematical analysis.]]'''Mathematical analysis''' is the branch of [[Mathematics (nonfiction)|mathematics]] dealing with [[Limit (nonfiction)|limits]] and related theories, such as differentiation, integration, measure, infinite 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). | These theories are usually studied in the context of [[Real number (nonfiction)|real]] and [[Complex number (nonfiction)|complex numbers]] and [[Function (mathematics) (nonfiction)|functions]]. | ||
Analysis evolved from [[Calculus (nonfiction)|calculus]], which involves the elementary concepts and techniques of analysis. Analysis may be distinguished from [[Geometry (nonfiction)|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). | |||
== In the News == | == In the News == | ||
<gallery> | <gallery> | ||
File:Strange_attractor_arising_from_differential_equation.png|A strange attractor arising from a differential equation. Differential equations are an important area of mathematical analysis with many applications to science and engineering. | |||
</gallery> | </gallery> | ||
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== Nonfiction cross-reference == | == Nonfiction cross-reference == | ||
* [[Archimedes (nonfiction)]] | |||
* [[Calculus (nonfiction)]] | * [[Calculus (nonfiction)]] | ||
* [[Function (mathematics) (nonfiction)]] | |||
* [[Limit (nonfiction)]] | |||
* [[Mathematics (nonfiction)]] | * [[Mathematics (nonfiction)]] | ||
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* [https://en.wikipedia.org/wiki/Mathematical_analysis Mathematical analysis] @ Wikipedia | * [https://en.wikipedia.org/wiki/Mathematical_analysis Mathematical analysis] @ Wikipedia | ||
[[Category:Nonfiction (nonfiction)]] | [[Category:Nonfiction (nonfiction)]] | ||
[[Category:Calculus (nonfiction)]] | [[Category:Calculus (nonfiction)]] | ||
[[Category:Mathematics (nonfiction)]] | [[Category:Mathematics (nonfiction)]] | ||
Latest revision as of 18:48, 20 January 2020
Archimedes used the method of exhaustion to compute the area inside a circle by finding the area of regular polygons with more and more sides. This was an early but informal example of a limit, one of the most basic concepts in 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.
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).
In the News
A strange attractor arising from a differential equation. Differential equations are an important area of mathematical analysis with many applications to science and engineering.
Fiction cross-reference
Nonfiction cross-reference
- Archimedes (nonfiction)
- Calculus (nonfiction)
- Function (mathematics) (nonfiction)
- Limit (nonfiction)
- Mathematics (nonfiction)
External links:
- Mathematical analysis @ Wikipedia