Difference between revisions of "Real analysis"

m (fixed links)
 
Line 1: Line 1:
Real analysis is the formal study of [[calculus]] using mathematical proofs.
+
Very broadly speaking, [[real analysis]] is the study of real-valued functions and can be argued as the formal study of [[calculus]] via mathematical proofs. Some mathematical properties that are studied in real analysis include the construction of the real numbers [[field]], defining [[continuity]] and its various types, and so on. Studying real analysis involves studying the geometric and topological properties of the real numbers as well as the <math>n</math>-th dimensional spaces of <math>\mathbb{R}</math>.
  
 
== Notions ==
 
== Notions ==

Latest revision as of 00:54, 17 September 2020

Very broadly speaking, real analysis is the study of real-valued functions and can be argued as the formal study of calculus via mathematical proofs. Some mathematical properties that are studied in real analysis include the construction of the real numbers field, defining continuity and its various types, and so on. Studying real analysis involves studying the geometric and topological properties of the real numbers as well as the $n$-th dimensional spaces of $\mathbb{R}$.

Notions

Important theorems

See also

This article is a stub. Help us out by expanding it.

Invalid username
Login to AoPS