Paradoxes and sophisms in calculus / Sergiy Klymchuk and Susan Staples.
"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 intenti...
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| Main Authors: | , |
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| Format: | Book |
| Language: | English |
| Published: |
Washington, DC :
Mathematical Association of America,
[2013]
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| Series: | Classroom resource materials (Unnumbered).
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| Subjects: | |
| Online Access: | Contributor biographical information |
| Summary: | "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."--Publisher's website. |
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| Physical Description: | xiii, 98 pages : illustrations ; 23 cm. |
| Bibliography: | Includes bibliographical references (pages 95-96). |
| ISBN: | 0883857812 9780883857816 |