Paradoxes and sophisms in calculus / Sergiy Klymchuk and Susan Staples.

Format:

Book

Author/Creator:

Klymchuk, Sergiy, author.

Staples, Susan (Susan Grace), author.

Series:

Classroom resource materials (Unnumbered)

Classroom resource materials

Language:

English

Subjects (All):

Calculus--Problems, exercises, etc.

Calculus.

Paradoxes--Mathematical models.

Paradoxes.

Physical Description:

1 online resource (xiii, 98 pages) : digital, PDF file(s).

Edition:

1st ed.

Other Title:

Paradoxes & Sophisms in Calculus

Place of Publication:

Washington : Mathematical Association of America, 2013.

Language Note:

English

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 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. Solutions for each paradox and explanations of the fallacious reasoning in each sophism are provided in later sections. This book serves as a complementary companion to the first author’s previous book Counterexamples in Calculus (MAA), recipient of the 2010 Outstanding Academic Title Award from Choice Magazine of the American Library Association.

Contents:

Paradoxes. Functions and limits ; Derivatives and integrals

Sophisms. Functions and limits ; Derivatives and integrals

Solutions to paradoxes. Functions and limits ; Derivatives and integrals

Solutions to sophisms. Functions and limits ; Derivatives and integrals.

Notes:

Title from publisher's bibliographic system (viewed on 02 Oct 2015).

Includes bibliographical references.

Description based on print version record.

ISBN:

1-61444-110-3

OCLC:

847680790