| CODE | MAT3215 | ||||||||
| TITLE | Metric Spaces | ||||||||
| UM LEVEL | 03 - Years 2, 3, 4 in Modular Undergraduate Course | ||||||||
| MQF LEVEL | 6 | ||||||||
| ECTS CREDITS | 4 | ||||||||
| DEPARTMENT | Mathematics | ||||||||
| DESCRIPTION | - Axioms and examples of metric spaces; - Subspaces; - Open and closed sets; - Continuity and uniform continuity; - Equivalent metrics; - Compactness and sequential compactness: their equivalence; - Connectedness; - Completeness; - Separability. Textbook - Kolmogorov A. N. and Fomin S.V., Introductory Real Analysis, Dover, 1975. Suggested Reading - Sutherland W., Introduction to Metric and Topological spaces, Clarendon Press, Oxford, 1975. - Bryant V, Metric Spaces, Cambridge University Press, 1995. - Rudin W., Principles of Mathematical Analysis, McGraw-Hill, 3rd Edition, 1976. - Apostol T., Mathematical Analysis, Addison-Wesley, 2nd Edition, 1974. |
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| ADDITIONAL NOTES | Follows from: MAT1211 Leads to: MAT3212, MAT3219 |
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| STUDY-UNIT TYPE | Lecture | ||||||||
| METHOD OF ASSESSMENT |
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| LECTURER/S | David Buhagiar |
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