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WELCOME TO THOSE WHO HAVE DISCOVERED THIS WEBSITE AS A RESULT OF MY ADVERISEMENT IN THE GAZETTE OF THE AUSTRALIAN MATHEMATICAL SOCIETY

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PLEASE CONTACT ME IF YOU HAVE ANY QUESTIONS OR FIND ANY ERROR. Also if you are the copyright holder of any of the images and would like me to remove it, please let me know,

I WOULD ALSO LIKE TO HEAR FROM ANYBODY WHO FINDS THE NOTES USEFUL, and especially from any lecturer who's using them in a course they're teaching. If you're from outside Australia you might like to send me a postcard of the place where you live (if you still know how to work snail-mail).

Send emails to christopherdonaldcooper@gmail.com (the link is at the bottom of this page) Send postcards to Dr C.D.H. Cooper, 31 Epping Ave EASTWOOD, NSW 2122, AUSTRALIA

WHAT'S NEW? Here I announce when certain sets of notes have been updated. The process of improving and extending the notes is ongoing and some sets have reached their 13th edition.

MATHS NOTES The main content on this website consists of about 20 sets of notes that cover many areas of university mathematics. They range from elementary courses in algebra and calculus that are designed for students whose school mathematics is insufficient for university, to postgraduate level. Most of these have been used in courses that I've taught at Maqcquarie University, in Sydney. Hence, at the higher levels, they represent my personal areas of interest which is down towards the algebra, topology and discrete end of the spectrum. Although I retired many years ago, three sets of notes are still used at Macquarie as the main text, although I understand there is a syllabus review taking place and this may change.

I started at Macquarie in 1969, not long after it opened its doors. As a result I had the luxury of being able to design some of the third year courses. I've always been interested in the question of what should be taught. At the lower levels this is dictated largely by what students need for more advanced courses, as well as what they need for other areas such as physics. But at higher levels I have focussed on giving students a wide variety of mathematical experiences.

PAMPHLETS These are shorter documents.

There's one called WHY MATHEMATICS? that is aimed at year 10 students who are wondering what level of mathematics to do in the last couple of years of school. Also I've tried to show what mathematics is really like. School mathematics on the whole is not very exciting. I try to present a glimpse of what lies out there in the upper nreaches of the subject. I also discuss how much mathematics is required for certain careers.

MATHS ANXIETY tries to help students who feel they are hopeless at maths, but who discover that they need to do some.

COOPERS THEOREMS lists a number of theorems included in the notes that are my own. Many years ago I stopped writing research papers, that very few people read, and focussed on the content side of teaching. I found that there were some gaps in the traditional syllabuses that I felt should be followed up. As a resuly, about 5% of the material cannot be found elsewhere because they are my own. This is not intended as an opportunity to show off, but rather to draw attention to lecturers some interesting things that they might like to include in their own courses, even if they don't use my notes.

GROUP TABLES These are tables of finite groups (up to order 100, but excluding orders 64 and 72. They include character tables, as well as conjugacy classes, normal subgroups, quotient groups etc. At the moment they only go up to order 63. More will be added.

YOU CAN FIND THESE UNDER MATHS NOTES/POSTGRAD

BOOKS These are books that I have written, some of which are relevant to mathematics.

ALISON'S AXIOMS is a story, a little bit along the lines of Alice In Wonderland, which after all was written by a mathematician! It tells of a quest for the Ring of Ramanujan, the ring that supposedly gave him his great insight. He attributed his ability to be able to see matnematical results, without being able to prove them, but here I have imagined it to be a ring (It turns out to be a nilpotent ring!). I have had great fun in embedding a large amount of advanced mathematics in a way that I hope child readers will not be bothered by. For example, the pieces of jewellery that Emily and Alison discover along the way, represent the axioms of Set Theory.

THE GOD THEOREM explores the Christian faith from the perspective of a mathematician. I point out that a set of axioms in mathematics is not unlike a religious creed.

STORIES ABOUT GOD and TALKING ABOUT GOD are pieces that I've used as a lay preacher in the Uniting Church over the years. STORIES ABOUT GOD are Children's stories, half of which went over the heads of the kids, but which I was told adults enjoyed much better than the sermon!

TALKING ABOUT GOD consists of a number of dialogues I have presented in church in place of the sermon, These were developed in conjunction with the minister at Eastwood Uniting, Nicholas Fried.

Further down the track I intend putting up some material about the Bronte sisters that I have developed. If you happen to be intersted in the Brontes. Charlotte, Emily and Anne, you may be interested in my other website ausbronte.net which is the webiste of the Australian Bronte Association.