What's Next?

What's Next

You have completed the Real Analysis course. You now have a rigorous understanding of the foundations of calculus — limits, continuity, differentiation, and integration.

Go Deeper

• Measure theory — generalize integration with Lebesgue measure and the dominated convergence theorem.
• Functional analysis — Banach spaces, Hilbert spaces, and operator theory.
• Complex analysis — extend real analysis to the complex plane with stunning results.
• Topology — generalize continuity and convergence to abstract spaces.