Difference between revisions of "Mathematical analysis"

Revision as of 18:06, 2 September 2015

Mathematical analysis is a branch of mathematics that studies continuous change using the principles of analysis.

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.

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).

@@ Line 1: / Line 1: @@
-'''Mathematical analysis''' is a branch of mathematics that studies [[continuous change]] and includes the theories of [[differentiation]], [[integration]], [[measure]], [[limits]], [[infinite series]], and [[analytic functions]].
+'''Mathematical analysis''' is a branch of mathematics that studies [[continuous change]] using the principles of [[analysis]].
+== Description ==
+Mathematical analysis includes the theories of:
+* [[Differentiation]]
+* [[Integration]]
+* [[Measurement]]
+* [[Limits]]
+* [[Infinite series]]
+* [[Analytic functions]].
 These theories are usually studied in the context of [[Real number|real]] and [[Complex number|complex numbers]] and functions.
@@ Line 11: / Line 22: @@
 * [[Analysis]]
 * [[Calculus]]
+* [[Complex number]]
+* [[Mathematical object]]
 * [[Mathematics]]
+* [[Real number]]
 == External links ==
 * [https://en.wikipedia.org/wiki/Mathematical_analysis Mathematical analysis] @ Wikipedia