Chapter Summaries Introducction: A Glimpse at Set Theory 1 1. The Algebra of Sets 2. Functions 3. Finite and Infinite Sets I. The Real Numbers 4. The Algebraic Properties of R 5. The Order Properties of R 6. The Completeness Property of R 7. Cuts, Intervals, and the Cantor Set II. The Topology of Cartesian Spaces 8. Vector and Cartesian Spaces 9. Open and Closed Sets 1…