Paradoxes and Sophisms in Calculus (Classroom Resource Materials)

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9780883857816: Paradoxes and Sophisms in Calculus (Classroom Resource Materials)
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In the study of mathematics, surprising and counter-intuitive examples can offer a fascinating insight into the development of the subject, and inspire a learner's passion for discovery. With a carefully-chosen selection of so-called paradoxes and sophisms, this book offers a delightful supplementary resource to enhance the study of single variable calculus. By paradox, the authors mean an unexpected statement that looks invalid, but is in fact true. The word sophism describes intentionally invalid reasoning that looks formally correct, but, in fact, contains a subtle mistake or flaw. This collection of over fifty paradoxes and sophisms showcases the subtleties of calculus and leads students to contemplate the underlying concepts. Sophisms and paradoxes from the areas of functions, limits, derivatives, integrals, sequences, and series are explored, with full explanations provided for each example. The book is an ideal resource for those studying or teaching calculus at high school and university level.

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Book Description:

A collection of paradoxes (counter-intuitive statements that look invalid, but are in fact true) and sophisms (intentionally flawed arguments that appear formally correct) in calculus. Such examples are designed to enhance students' understanding of the underlying concepts. Recommended for students and teachers of calculus at high school and university.

About the Author:

Sergiy Klymchuk is an Associate Professor of the School of Computing and Mathematical Sciences at Auckland University of Technology, New Zealand. He is a Fellow of the Institute of Mathematics and its Applications and a member of the Royal Society of New Zealand (RSNZ). He has more than 160 publications including three books on popular mathematics and science - Money Puzzles, Science Puzzles and Shape Puzzles, that have been, or are being, published in 11 countries. His book Counterexamples in Calculus received an Outstanding Academic Title award from Choice magazine of the American Library Association in 2010.

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