A Compact Capstone Course in Classical Calculus
This textbook offers undergraduates a self-contained introduction to advanced topics not covered in a standard calculus sequence. The author’s enthusiastic and engaging style makes this material, which typically requires a substantial amount of study, accessible to students with minimal prerequisite...
| Main Author: | |
|---|---|
| Format: | eBook |
| Language: | English |
| Published: |
Cham
Birkhäuser
2023, 2023
|
| Edition: | 1st ed. 2023 |
| Series: | Compact Textbooks in Mathematics
|
| Subjects: | |
| Online Access: | |
| Collection: | Springer eBooks 2005- - Collection details see MPG.ReNa |
Table of Contents:
- Chapter 1. Prelude: Vi`ete’s Product
- Chapter. 2. Calculus Warm-up
- Chapter. 3. The Probability Integral & Gamma Function
- Chapter. 4. Wallis’s Product
- Chapter. 5. Interlude: How Big is a Ball ?
- Chapter. 6. Convexity – Tangents
- Chapter. 7. Some Important Series
- Chapter. 8. Geometric Probability
- Chapter. 9. Convexity – Chords
- Chapter. 10. Interlude: Minkowski Distance
- Chapter. 11. The Basel Problem
- Chapter. 12. Interlude: Beyond Basel
- Chapter. 13. Stirling’s Formula
- Chapter. 14. Euler’s Sine Product
- Chapter. 15. Postlude: Stirling’s Formula Again
- Index