References for Math 4341/5321

Analysis on the Real Line

• Edward D. Gaughan, Introduction to Analysis.
  5th edition. Brooks/Cole, 1968/1998.
• Robert G. Bartle & Donald R. Sherbert, Introduction to Real Analysis.
  2nd edition. Wiley, 1982/1992.
• David Bressoud, A Radical Approach to Real Analysis.
  MAA, 1994.
• Jan and Piotr Mikusinski, An Introduction to Analysis - From Number to Integral.
  Wiley, 1993.

Real Analysis

• Brian S. Thomson, Judith B. Bruckner, and Andrew M. Bruckner, Elementary Real Analysis.
  Prentice-Hall, 2000.
• Serge Lang, Undergraduate Analysis.
  2nd edition. Springer, 1983/1997.
• Jean Dieudonné, Foundations of Modern Analysis.
  Academic Press, 1969.
• Eduard Cech, Point Sets.
  Academic Press/Academia, 1969.

Topology

• John L. Kelley, General Topology.
  Van Nostrand, 1955.
• Boto von Querenburg, Mengentheoretische Topologie.
  Springer, 1973.
• K. Kuratowski, Topology, Volume I.
  Academic Press/PWN, 1966.

Miscellaneous

• Joseph Dauben, Georg Cantor: His Mathematics and Philosophy of the Infinite.
  Reprint. Princeton University Press, 1990. [QA 248.D27]
• Heinz-Dieter Ebbinghaus, et.al., Numbers.
  Reprint. Springer, 1991.