USING COUNTER-EXAMPLES IN CALCULUS

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by John Mason (Open University in Milton Keynes, UK) & Sergiy Klymchuk (Auckland University of Technology, New Zealand)

This book makes accessible to calculus students in high school, college and university a range of counter-examples to “conjectures” that many students erroneously make. In addition, it urges readers to construct their own examples by tinkering with the ones shown here in order to enrich the example spaces to which they have access, and to deepen their appreciation of conspectus and conditions applying to theorems.

Contents:

Working with Counter-Examples
The Pathological Debate
Bones to Chew: Collection of False Statements
Suggested Solutions and New Challenges

Readership: Undergraduates in science and engineering.

“I would encourage calculus teachers/lecturers to read this book. It has to generate ideas that will improve our teaching of the subject.”

Derek Holton
Emeritus Professor, University of Otago
Honorary Professor, University of Melbourne

“This booklet is useful not only for the teachers but for the students as well. It is quite elementary, and the discussion of the counter-examples can be easily understood by students.”

Zentralblatt MATH

116pp		Pub. date: May 2009
ISBN: 978-1-84816-359-1 1-84816-359-2		US$65 / £45

116pp		Pub. date: May 2009
ISBN: 978-1-84816-360-7(pbk) 1-84816-360-6(pbk)		US$32 / £22

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