MA 44000, Fall 2023
Honors Real Analysis I
Credit Hours: 3.00. Real analysis in one and n-dimensional Euclidean spaces. Topics include the completeness property of real numbers, topology of Euclidean spaces, Heine-Borel theorem, convergence of sequences and series in Euclidean spaces, limit superior and limit inferior, Bolzano-Weierstrass theorem, continuity, uniform continuity, limits and uniform convergence of functions, Riemann or Riemann-Stieltjes integrals.
|Real Mathematical Analysis - Optional Book - Walter Rudin's Principles of Analysis, ISBN 9780070542358
|Charles Chapman Pugh
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