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Counterexamples in Calculus
 
Counterexamples in Calculus
MAA Press: An Imprint of the American Mathematical Society
Softcover ISBN:  978-0-88385-765-6
Product Code:  CLRM/34
List Price: $49.00
MAA Member Price: $36.75
AMS Member Price: $36.75
eBook ISBN:  978-1-61444-109-0
Product Code:  CLRM/34.E
List Price: $45.00
MAA Member Price: $33.75
AMS Member Price: $33.75
Softcover ISBN:  978-0-88385-765-6
eBook: ISBN:  978-1-61444-109-0
Product Code:  CLRM/34.B
List Price: $94.00 $71.50
MAA Member Price: $70.50 $53.63
AMS Member Price: $70.50 $53.63
Counterexamples in Calculus
Click above image for expanded view
Counterexamples in Calculus
MAA Press: An Imprint of the American Mathematical Society
Softcover ISBN:  978-0-88385-765-6
Product Code:  CLRM/34
List Price: $49.00
MAA Member Price: $36.75
AMS Member Price: $36.75
eBook ISBN:  978-1-61444-109-0
Product Code:  CLRM/34.E
List Price: $45.00
MAA Member Price: $33.75
AMS Member Price: $33.75
Softcover ISBN:  978-0-88385-765-6
eBook ISBN:  978-1-61444-109-0
Product Code:  CLRM/34.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: 342010; 101 pp

    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. Incorrect statements are grouped topically with sections devoted to: Functions, Limits, Continuity, Differential Calculus and Integral Calculus.

    This book aims to fill a gap in the literature and provide a resource for using counterexamples as a pedagogical tool in the study of introductory calculus.

  • Table of Contents
     
     
    • Chapters
    • Introduction
    • Counterexamples in Calculus
    • Part I. Statements
    • Chapter 1. Functions
    • 2. Limits
    • 3. Continuity
    • 4. Differential Calculus
    • 5. Integral Calculus
    • Part II. Suggested Solutions
    • Chapter 1. Functions
    • 2. Limits
    • 3. Continuity
    • 4. Differential Calculus
    • 5. Integral Calculus
  • Additional Material
     
     
  • Reviews
     
     
    • This brief work is exactly as described, a collection of counterexamples from calculus. ... In addition to helping calculus users to avoid complacency, this work provides wonderful illustrations of what can go wrong if one ignores the conditions placed on the theorems and rules of calculus. This book should be required reading for any long-term instructor of calculus.

      CHOICE Magazine
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Accessibility – to request an alternate format of an AMS title
Volume: 342010; 101 pp

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. Incorrect statements are grouped topically with sections devoted to: Functions, Limits, Continuity, Differential Calculus and Integral Calculus.

This book aims to fill a gap in the literature and provide a resource for using counterexamples as a pedagogical tool in the study of introductory calculus.

  • Chapters
  • Introduction
  • Counterexamples in Calculus
  • Part I. Statements
  • Chapter 1. Functions
  • 2. Limits
  • 3. Continuity
  • 4. Differential Calculus
  • 5. Integral Calculus
  • Part II. Suggested Solutions
  • Chapter 1. Functions
  • 2. Limits
  • 3. Continuity
  • 4. Differential Calculus
  • 5. Integral Calculus
  • This brief work is exactly as described, a collection of counterexamples from calculus. ... In addition to helping calculus users to avoid complacency, this work provides wonderful illustrations of what can go wrong if one ignores the conditions placed on the theorems and rules of calculus. This book should be required reading for any long-term instructor of calculus.

    CHOICE Magazine
Review Copy – for publishers of book reviews
Accessibility – to request an alternate format of an AMS title
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