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

By: Contributor(s): Material type: TextTextSeries: Classroom resource materialsPublication details: Washington, D.C. : Mathematical Association of America, ©2013.Description: 1 online resource (xiii, 98 pages) : illustrationsContent type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9781614441106
  • 1614441103
Subject(s): Genre/Form: Additional physical formats: Print version:: Paradoxes and sophisms in calculus.DDC classification:
  • 515 23
LOC classification:
  • QA303.2 .K596 2013eb
Online resources:
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.
Summary: 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.
Holdings
Item type Current library Collection Call number Status Date due Barcode Item holds
eBook eBook e-Library EBSCO Mathematics Available
Total holds: 0

Includes bibliographical references (pages 95-96).

Print version record.

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.

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.

English.

Added to collection customer.56279.3

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