Trent University
Mathematics 4790H
Analysis II: Topology and Measure

MATH 4790H is an introduction to the topology of metric spaces and to measure theory on the real line.

Prerequisite: MATH 3790H - Analysis I: Real Analysis. Not open to students with credit for MATH 3700H - Metric Geometry and Topology, which has been discontinued.

Winter 2025

• MATH 4790H Course Outline
• Textbooks
  • An Introduction to Metric Spaces, by Samuel E. Andersson, Anders Björn, and David Wiman. (local copy)
  • Measure, Integration & Real Analysis by Sheldon Axler. (local copy)
• A Precise Definition of the Definite Integral [That is, of the Riemann integral, in Darboux's style.]
• A Darboux-Style Definition of the Lebesgue Integral
• Assignment # 1, 2, 3, 4, 5, τ, 6, 7, 8, 9, 10, 11
  and Solutions to Assignments # 1, 2, 3
• Take-Home Final Examination

Maintained by Stefan Bilaniuk. Last updated 2025-05-28.