Course

Set theory

Course under construction · 27 of 29 concepts published; more are added as they are reviewed.

Learn the language of sets, functions, cardinals and ordinals, and the axioms that underpin modern mathematics.

Recommended before this course: Modern algebra I · Discrete mathematics (3 concepts come from those courses and are tagged)

30concepts
4topics
320exercises
≈ 16 hof study approx.

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Course path

  1. 1
  2. 2
  3. 3
  4. 4

Sources

  • I. N. Herstein, Topics in Algebra, 2.ª edición, John Wiley & Sons, 1975.
  • Herbert B. Enderton, Elements of Set Theory, 1st edition, Academic Press, 1977.
  • Thomas Jech, Set Theory (The Third Millennium Edition), 3rd millennium edition, Springer, 2003.
  • John M. Lee, Introduction to Smooth Manifolds, 2nd edition, Springer, 2013.
  • Kenneth H. Rosen, Discrete Mathematics and Its Applications, 8th edition, McGraw-Hill, 2019.
  • Susanna S. Epp, Discrete Mathematics with Applications, 5th edition, Cengage, 2019.
  • Ralph P. Grimaldi, Discrete and Combinatorial Mathematics: An Applied Introduction, 5th edition, Pearson, 2003.