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Real analysis

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  Real analysis 40 languages Article Talk Read Edit View history From Wikipedia, the free encyclopedia In  mathematics , the branch of  real analysis  studies the behavior of  real numbers ,  sequences  and  series  of real numbers, and  real functions . [1]  Some particular properties of real-valued sequences and functions that real analysis studies include  convergence ,  limits ,  continuity ,  smoothness ,  differentiability  and  integrability . Real analysis is distinguished from  complex analysis , which deals with the study of  complex numbers  and their functions. Scope [ edit ] This section may  require  cleanup  to meet Wikipedia's  quality standards . The specific problem is:  This section goes too heavily into detail about each concept. It should just portray a brief overview in relation to the field of real analysis.  Please help  improve this section  if you can.   ( June 2019 )  ( Learn how and when to remove this template message ) Construction of the real numbers