Counterexamples in calculus [electronic resource] / Sergiy Klymchuk.

By: Klymchuk, SergiyContributor(s): Mathematical Association of America | ProQuest (Firm)Material type: TextTextSeries: Classroom resource materials (Unnumbered)Publication details: Washington, D.C. : Mathematical Association of America, c2010Description: ix, 101 p. : illISBN: 9781614441090 (electronic bk.)Subject(s): Calculus -- Problems, exercises, etcGenre/Form: Electronic books.DDC classification: 515 LOC classification: QA303.2 | .K596 2010Online resources: Click to View
Contents:
Statements. Functions -- Limits -- Continuity -- Differential calculus -- Integral calculus -- Suggested solutions.
Summary: "Counterexamples in Calculus serves as a supplementary resource to enhance the learning experience in single variable calculus courses. This book features carefully constructed incorrect mathematical statements that require students to create counterexamples to disprove them. Methods of producing these incorrect statements vary. At times the converse of a well-known theorem is presented. In other instances crucial conditions are omitted or altered or incorrect definitions are employed."--Back cover.
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Originally published: New Zealand : Maths Press, 2004.

Includes bibliographical references (p. 99-100).

Statements. Functions -- Limits -- Continuity -- Differential calculus -- Integral calculus -- Suggested solutions.

"Counterexamples in Calculus serves as a supplementary resource to enhance the learning experience in single variable calculus courses. This book features carefully constructed incorrect mathematical statements that require students to create counterexamples to disprove them. Methods of producing these incorrect statements vary. At times the converse of a well-known theorem is presented. In other instances crucial conditions are omitted or altered or incorrect definitions are employed."--Back cover.

Electronic reproduction. Ann Arbor, MI : ProQuest, 2015. Available via World Wide Web. Access may be limited to ProQuest affiliated libraries.

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