Paradoxes and Sophisms in Calculus (Classroom Resource Materials)

Klymchuk, Sergiy, Staples, Susan

Published by The Mathematical Association of America, 2013
ISBN 10: 0883857812 / ISBN 13: 9780883857816
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Paradoxes and Sophisms in Calculus offers a delightful supplementary resource to enhance the study of single variable calculus. By the word paradox the authors mean a surprising, unexpected, counter-intuitive statement that looks invalid, but in fact is true. The word sophism describes intentionally invalid reasoning that looks formally correct, but in fact contains a subtle mistake or flaw. In other words, a sophism is a false proof of an incorrect statement. A collection of over fifty paradoxes and sophisms showcases the subtleties of this subject and leads students to contemplate the underlying concepts. A number of the examples treat historically significant issues that arose in the development of calculus, while others more naturally challenge readers to understand common misconceptions. Sophisms and paradoxes from the areas of functions, limits, derivatives, integrals, sequences, and series are explored.

The book could be useful for high school teachers and university faculty as a teaching resource; high school and college students as a learning resource; and a professional development resource for calculus instructors.

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.

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Title: Paradoxes and Sophisms in Calculus (...
Publisher: The Mathematical Association of America
Publication Date: 2013
Book Condition: Fine

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Book Description Mathematical Association of America, United States, 2013. Paperback. Book Condition: New. UK ed.. Language: English . Brand New Book. In the study of mathematics, surprising and counterintuitive 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. Bookseller Inventory # AAA9780883857816

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