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Paradoxes and Sophisms in Calculus
 
Paradoxes and Sophisms in Calculus
MAA Press: An Imprint of the American Mathematical Society
Softcover ISBN:  978-0-88385-781-6
Product Code:  CLRM/45
List Price: $49.00
MAA Member Price: $36.75
AMS Member Price: $36.75
eBook ISBN:  978-1-61444-110-6
Product Code:  CLRM/45.E
List Price: $45.00
MAA Member Price: $33.75
AMS Member Price: $33.75
Softcover ISBN:  978-0-88385-781-6
eBook: ISBN:  978-1-61444-110-6
Product Code:  CLRM/45.B
List Price: $94.00 $71.50
MAA Member Price: $70.50 $53.63
AMS Member Price: $70.50 $53.63
Paradoxes and Sophisms in Calculus
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Paradoxes and Sophisms in Calculus
MAA Press: An Imprint of the American Mathematical Society
Softcover ISBN:  978-0-88385-781-6
Product Code:  CLRM/45
List Price: $49.00
MAA Member Price: $36.75
AMS Member Price: $36.75
eBook ISBN:  978-1-61444-110-6
Product Code:  CLRM/45.E
List Price: $45.00
MAA Member Price: $33.75
AMS Member Price: $33.75
Softcover ISBN:  978-0-88385-781-6
eBook ISBN:  978-1-61444-110-6
Product Code:  CLRM/45.B
List Price: $94.00 $71.50
MAA Member Price: $70.50 $53.63
AMS Member Price: $70.50 $53.63
  • Book Details
     
     
    Classroom Resource Materials
    Volume: 452013; 98 pp
    MSC: Primary 26

    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.

  • Table of Contents
     
     
    • Chapters
    • Part I. Paradoxes
    • 1. Functions and Limits
    • 2. Derivatives and Integrals
    • Part II. Sophisms
    • 3. Functions and Limits
    • 4. Derivatives and Integrals
    • Part III. Solutions to Paradoxes
    • 5. Functions and Limits
    • 6. Derivatives and Integrals
    • Part IV. Solutions to Sophisms
    • 7. Functions and Limits
    • 8. Derivatives and Integrals
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Accessibility – to request an alternate format of an AMS title
Volume: 452013; 98 pp
MSC: Primary 26

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.

  • Chapters
  • Part I. Paradoxes
  • 1. Functions and Limits
  • 2. Derivatives and Integrals
  • Part II. Sophisms
  • 3. Functions and Limits
  • 4. Derivatives and Integrals
  • Part III. Solutions to Paradoxes
  • 5. Functions and Limits
  • 6. Derivatives and Integrals
  • Part IV. Solutions to Sophisms
  • 7. Functions and Limits
  • 8. Derivatives and Integrals
Review Copy – for publishers of book reviews
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.