Contents

• Dedication
• List of Figures
• List of Tables
• Preface
  • To the Student
  • Acknowledgments
  • Comments and Feedback
  
  
• 1. Graphs
  • 1.1 Introduction
  • 1.2 Example
    • 1.2.1 Using reasoning
    • 1.2.2 Using brute force
  • 1.3 Example
    • 1.3.1 Solution
  
  
• 2. Optimization
  • 2.1 Introduction
  • 2.2 Example
    • 2.2.1 Definition
    • 2.2.2 Reduction
    • 2.2.3 Further reduction
    • 2.2.4 Finding the length
    • 2.2.5 Finding the optimum angle
    • 2.2.6 Finding the optimum length
  • 2.3 General Approach
    • 2.3.1 Formulation
    • 2.3.2 Interior minima
    • 2.3.3 Boundary minima
  
  
• 3. Approximations
  • 3.1 Introduction
  • 3.2 Example
    • 3.2.1 Identification
    • 3.2.2 Results
    • 3.2.3 Other way
  • 3.3 Example
    • 3.3.1 Identification
    • 3.3.2 Finish
  
  
• 4. Limits
  • 4.1 Introduction
  • 4.2 Example
    • 4.2.1 Observations
    • 4.2.2 L'Hopital
    • 4.2.3 Better
  • 4.3 Example
    • 4.3.1 Grinding it out
    • 4.3.2 Using insight
  
  
• 5. Surface and Volume Integrals
  • 5.1 Introduction
  • 5.2 Example
    • 5.2.1 Region
    • 5.2.2 Approach
    • 5.2.3 Results
  • 5.3 Example
    • 5.3.1 Approach
    • 5.3.2 Results
  
  
• 6. Combined Changes in Variables
  • 6.1 Introduction
  • 6.2 Example
    • 6.2.1 Identification
    • 6.2.2 Results
  • 6.3 Example
    • 6.3.1 Solution
  
  
• A. Addenda
• D. Derivations
• N. Notes
  • N.1 Why this book?
  • N.2 History and wish list
  
  
• Bibliography
• Web Pages
• Notations
• Index