HKUST IEDA

NJU: Real Analysis Notes

A set of real analysis notes originally written in Chinese at Nanjing University in 2011 and later translated into English, with context and commentary in a companion blog post.

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Course Snapshot

  • Period: 2011
  • Audience: Undergraduate mathematics students and self-learners.
  • Prerequisites: Single-variable and multivariable calculus.

Learning Outcomes

  • Understand the measure-theoretic foundations behind modern real analysis.
  • Connect key results across topology, measure, integration, and differentiation.
  • Use the notes as a structured reference for study and teaching.

Lecture Modules

Materials

BLOG

Companion Blog Post

Background and roadmap for the 2011 notes and their English translation.

Open Blog Post

CN

Chinese Notes (Original)

Original Chinese real analysis notes written in 2011.

Open PDF (Chinese)

EN

English Notes (Translation)

Complete English translation of the original notes.

Open PDF (English)