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 a...
| Κύριος συγγραφέας: | |
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| Συγγραφή απο Οργανισμό/Αρχή: | |
| Μορφή: | Ηλεκτρονική πηγή Ηλ. βιβλίο |
| Γλώσσα: | English |
| Έκδοση: |
New York, NY :
Springer New York : Imprint: Springer,
2014.
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| Σειρά: | Undergraduate Texts in Mathematics,
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| Θέματα: | |
| Διαθέσιμο Online: | Full Text via HEAL-Link |
Πίνακας περιεχομένων:
- 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.
