MA2223 Metric spaces 2010-11
Lecturer: Derek Kitson
Course outline:
- ch1.pdf Metric spaces (including open and closed sets, continuous maps and complete metric spaces)
- ch2.pdf Normed vector spaces (including operator norms and norms on finite dimensional vector spaces)
- ch3.pdf Topological properties of metric spaces (including Hausdorff, connected and compact spaces)
Assignments:
Assignments will be worth 10% of the final mark.
- Assignment 1 ha1.pdf Date due: Friday 8th October
- Assignment 2 ha2.pdf Date due: Friday 22nd October
- Assignment 3 ha3.pdf Date due: Friday 5th November
- Assignment 4 ha4.pdf Date due: Friday 19th November
- Assignment 5 ha5.pdf Date due: Friday 10th December
- Assignment 6 ha6.pdf Date due: Friday 17th December
- Solutions to assignment 1 soln1.pdf
- Solutions to assignment 2 soln2.pdf
- Solutions to assignment 3 soln3.pdf
- Solutions to assignment 4 soln4.pdf
- Solutions to assignment 5 soln5.pdf
- Solutions to assignment 6 soln6.pdf
Problem sheets:
- Problem sheet 1 ps1.pdf
- Problem sheet 2 ps2.pdf
- Problem sheet 3 ps3.pdf
- Problem sheet 4 ps4.pdf
- Problem sheet 5 ps5.pdf
- Solutions to problem sheet 1 soln1.pdf
- Solutions to problem sheet 2 soln2.pdf
- Solutions to problem sheet 3 soln3.pdf
- Solutions to problem sheet 4 soln4.pdf
- Solutions to problem sheet 5 soln5.pdf
Recommended Reading:
- Introduction to metric and topological spaces, W.A. Sutherland. Oxford University Press, 1975. Hamilton, S-LEN 514.3 L51 (11 copies), Open Access 514.3 L51 (2 copies), Santry Stacks SPL-37-624
- Metric spaces, E.T. Copson. Cambridge University Press, 1968. Hamilton, Open Access 514.3 K8
- Set theory and metric spaces, I. Kaplansky. Boston, 1972. Hamilton, Open Access 511.3 L23
- Introduction to the analysis of metric spaces, J.R. Giles. Cambridge University Press, 1987. Hamilton, Open Access 515.73 M7
- Metric spaces, M. O Searcoid. Springer Undergraduate Mathematics Series, 2007. Hamilton, Open Access 514.3 P7
Questions and comments to dk@maths.tcd.ie
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