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This set of notes has been compiled over a period of more than 20 years. Chapters 1-4 were used in various forms and on many occasions between 1981 and 1990 by the author at Imperial College, University of London. An extra 14 chapters were written in Sydney in 1991 and 1992. Chapters 7 and 12 were added in 1997.

The material has been organized in such a way to create a single volume suitable for use in the unit MATH237 at Macquarie University. This unit is currently taught in two parallel strands. The following is the suggested order for the presentation of the material:

* C: Chapters 1, 2, 5, 6, 7, 8, 9, 10, 11 and 12.
* M: Chapters 3, 4, 13, 14, 15, 16, 17, 18, 19 and 20.

To read the notes, click the chapters below for connection to the appropriate PDF files. You will need Adobe Acrobat Reader Version 4.0 or later.

The material is available free to all individuals, on the understanding that it is not to be used for financial gains, and may be downloaded and/or photocopied, with or without permission from the author. However, the documents may not be kept on any information storage and retrieval system without permission from the author, unless such system is not accessible to any individuals other than its owners.