Difference between revisions of "Mathematical analysis"
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Analysis evolved from [[calculus]], which involves the elementary concepts and techniques of [[analysis]]. | Analysis evolved from [[calculus]], which involves the elementary concepts and techniques of [[analysis]]. | ||
| + | |||
| + | == Comparison with geometry == | ||
Analysis may be distinguished from [[geometry]]; however, it can be applied to any space of [[Mathematical object|mathematical objects]] that has a definition of ''nearness'' (a [[topological space]]) or ''specific distances between objects'' (a [[metric space]]). | Analysis may be distinguished from [[geometry]]; however, it can be applied to any space of [[Mathematical object|mathematical objects]] that has a definition of ''nearness'' (a [[topological space]]) or ''specific distances between objects'' (a [[metric space]]). | ||
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* [[Calculus]] | * [[Calculus]] | ||
* [[Complex number]] | * [[Complex number]] | ||
| + | * [[Constructive analysis]] | ||
* [[Mathematical object]] | * [[Mathematical object]] | ||
* [[Mathematics]] | * [[Mathematics]] | ||
Revision as of 21:04, 17 February 2016
Mathematical analysis is a branch of mathematics that studies continuous change using the principles of analysis.
Description
Mathematical analysis includes the theories of:
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.
Comparison with geometry
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).
See also
External links
- Mathematical analysis @ Wikipedia
