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Table of Contents
Preface
1. The Real Numbers
2. Famous Inequalities
3. Continuous Functions
4. Differentiable Functions
5. The Mean Value Theorem
6. The Exponential Function
7. Other Mean Value Theorems
8. Convex Functions and Taylor's Theorem
9. Integration of Continuous Functions
10. The Fundamental Theorem of Calculus
11. Techniques of Integration
12. Classic Examples
13. Simple Quadrature Rules
14. Error Terms
A The Proof of Theorem 9.1
Index.
1. The Real Numbers
2. Famous Inequalities
3. Continuous Functions
4. Differentiable Functions
5. The Mean Value Theorem
6. The Exponential Function
7. Other Mean Value Theorems
8. Convex Functions and Taylor's Theorem
9. Integration of Continuous Functions
10. The Fundamental Theorem of Calculus
11. Techniques of Integration
12. Classic Examples
13. Simple Quadrature Rules
14. Error Terms
A The Proof of Theorem 9.1
Index.