Softcover ISBN:  9780883857816 
Product Code:  CLRM/45 
List Price:  $49.00 
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AMS Member Price:  $36.75 
eBook ISBN:  9781614441106 
Product Code:  CLRM/45.E 
List Price:  $45.00 
MAA Member Price:  $33.75 
AMS Member Price:  $33.75 
Softcover ISBN:  9780883857816 
eBook: ISBN:  9781614441106 
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 
Softcover ISBN:  9780883857816 
Product Code:  CLRM/45 
List Price:  $49.00 
MAA Member Price:  $36.75 
AMS Member Price:  $36.75 
eBook ISBN:  9781614441106 
Product Code:  CLRM/45.E 
List Price:  $45.00 
MAA Member Price:  $33.75 
AMS Member Price:  $33.75 
Softcover ISBN:  9780883857816 
eBook ISBN:  9781614441106 
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 DetailsClassroom Resource MaterialsVolume: 45; 2013; 98 ppMSC: 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, counterintuitive 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


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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, counterintuitive 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