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LECTURE NOTES These notes are directed to the upper level undergraduate/beginning graduate level. Having arisen from handwritten notes, prepared for the classroom, these notes are conversational in style and organized in small enough self-contained sections that several entire sections can be completed in a one hour lecture period. They are reasonably complete within their scope, though no attempt has been made at exhaustiveness. Plenty of examples have been worked out... I have found that a few concrete examples can do more to illustrate the principles than mathematical formalism. This is not to say that I have sacrificed mathematical nicety. I have attempted instead to complement a rigorous mathematical treatment with many examples when appropriate. Some students will respond more enthusiastically to the concrete and others more to the abstract: I have tried to present a little bit of both. The contents are in no way original. These are lecture notes and so the material has been taken from various sources. The result reflects my personal feeling for the most interesting way of presenting the material in each case. The project is on-going. It is a result of my desire to contribute in some small way what I can to the internet community, which has provided me with so much information over the years at no cost. Therefore any show of interest is welcome: please email me if these notes have been helpful in any way. Naturally, all comments, feedback in the form of suggestions for additions and scientific corrections are equally desirable. Currently available lecture notes:
More notes will follow as I find the time to transcribe them. These are provided as is in PDF format having been transcribed from my handwritten notes into LaTeX (using the MikTeX distribution). All comments, feedback in the form of suggestions for additions and corrections are very welcome. Please send them to Cenalo Vaz. |
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