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MAT 3120

Real Analysis

3 units

Library resources

Fall 2010 · Analysis III

Topics

  • Metric spaces and completeness
  • Continuity, compactness and connectedness
  • Contraction mappings
  • Convergence of function sequences and series
  • Power series
  • Approximation, Fourier series and L2 spaces

Readings

  • A Course in Modern Analysis and its Applications
    Graeme L. Cohen · Cambridge University Press, 2003 · Official course text
  • Real Analysis and Applications
    Kenneth R. Davidson; Allan P. Donsig · Springer, 2009 · Additional reference
  • Metric Spaces
    Mícheál Ó Searcóid · Springer, 2006 · Additional reference
  • Mathématiques pour la Licence – 3e année. Tome 2 : Topologie et Analyse
    Guy Auliac; Jean-Yves Caby · Dunod, 2005 · Recommended French reference
  • Mathématiques pour la licence – 3e année. Tome 3 : Topologie et Analyse
    Georges Skandalis · Dunod · Recommended French reference
Sources