Problems and Problem Solving
How to Use this Book
A Little Useful Mathematics
Introduction
Numbers
Algebra
Proof
Elementary number theory
Geometry
Trigonometric formulae
Some Books for Your Bookshelf
The Problems
Hints and Outline Solutions
Appendix: The International Mathematical Olympiad: UK teams and
results 1967 - 1996
School of Mathematics, University of Birmingham, Birmingham, B15 2TT Tel: 0121 414 6580 Fax: 0121 414 3389 Email: a.d.gardiner@bham.ac.uk
`Gardiner pulls no punches in putting over his own view of maths:
that it is hard, exacting and exact but very rewarding.'
Times Educational Supplement Extra Section, October 1997
`Working through the exercises provides a valuable source of
extension and enrichment for all pupils and adults interested in
mathematics.'
Zentralblatt für Didaktik Mathematik
`This is another successful book written by a fine expositor. I
warmly recommend it to all students curious about mathematics,
especially those who are bored at school and ready for a challenge.
Teachers would find this book to be a welcome resource, as will
contest organizers.'
Zentralblatt für Mathematik, 884
`...problem lovers of all ages and ability levels will find much in
this book to entertain and educate... I would highly recommend this
book for anyone interested in this sort of problem solving. It
would be a particularly valuable resource for those who participate
in mathematics competitions at the high school or college level.
'
Mathematical Association of America Online Review Column, June
1998
`...the book will have two quite separate audiences. One is
lecturers or schoolteachers who are looking for something
challenging, while still elementary, for their bright students. And
the other is bright school students themselves, who will gain a
huge amount from trying the problems and reading the commentary.
For both audiences, this book is a must-buy.'
London Mathematical Society Newsletter, October 1998
'...wonderful book...The goal of the book is to introduce students
to the world of problem solving, and it does so marvelously.Indded,
problem lovers of all ages and ability levels will find much in
this book to entertain and educate...it contains an entertaining
and challenging set of probelms' MAA Online
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