Category Theory (MAGIC009)
There are no announcements
This 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.Semester
Spring 2012 (Monday, January 16 to Friday, March 23)Timetable
There 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.
The topics covered are:
Clicking on the link for a book will take you to the relevant Google Book Search page. You may be able to preview the book there. On the right hand side you will see links to places where you can buy the book. There is also link marked 'Find this book in a library'. This sometimes works well, but not always. (You will need to enter your location, but it will be saved after you do that for the first time.)
The course will be assessed by a single exam. The paper is available under the Assignments tab, and the deadline is 13th April 2012.
Exam for MAGIC009: Category Theory Spring 2012
Files marked L are intended to be displayed on the main screen during lectures.