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This book is about some of the ideas that are important for
students of mathematics at the stage of transition from school to
university. It contains 200 exercises on a wide range of
interrelated topics in algebra, analysis and geometry, with
explanations and informative comments. It has a comprehensive
index, and can be used either as a reference book or as a framework
for a systematic course of study. The book originated in sets of
annotated exercises prepared for students and teachers working to
an experimental syllabus of the Welsh Joint Education Committee. It
will be useful to undergraduates and others who wish to develop
their understanding of fundamental mathematics.
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