Category Theory (MAGIC009) |
GeneralThis course is part of the MAGIC core. Description
Category theory is the language of much of modern mathematics. It starts from the observation that the collection of all mathematical structures of a certain kind may itself be viewed as a mathematical object - a category. This is an introductory course in category theory. The main theme will be universal properties in their various manifestations, one of the most important uses of categories in mathematics.
SemesterSpring 2012 (Monday, January 16 to Friday, March 23) Timetable
PrerequisitesThere are few formal prerequisites to the material. However, I will be giving examples from mathematics to motivate the ideas and demonstrate how they are used, so an undergraduate degree in mathematics (rather than for example computer science or philosophy) would be an advantage. In particular, I will assume some knowledge of algebra such as vector spaces and their bases, and groups, but undergraduate level knowledge of these subjects is sufficient.
SyllabusThe topics covered are:
Students
Bibliography
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Exam for MAGIC009: Category Theory Spring 2012
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