More calculus of a single variable
This book goes beyond the basics of a first course in calculus to reveal the power and richness of the subject. Standard topics from calculus -- such as the real numbers, differentiation and integration, mean value theorems, the exponential function -- are reviewed and elucidated before digging into...
| Main Author: | Mercer, Peter R., |
|---|---|
| Other Authors: | SpringerLink (Online service) |
| Format: | eBook |
| Language: | English |
| Published: |
New York, NY :
Springer,
2014.
|
| Physical Description: |
1 online resource (xvi, 411 pages) : illustrations. |
| Series: |
Undergraduate texts in mathematics.
|
| Subjects: |
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.