page_title: Real analysis
hierarchical_section_title: Real analysis
context_page_description: In mathematics, real analysis is the branch of mathematical analysis that studies the behavior of real numbers, sequences and series of real numbers, and real functions. 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.
context_section_description: In mathematics, real analysis is the branch of mathematical analysis that studies the behavior of real numbers, sequences and series of real numbers, and real functions. 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.
caption: The first four partial sums of the Fourier series for a square wave. Fourier series are an important tool in real analysis.