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...
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| Autor principal: | |
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| Autor Corporativo: | |
| Formato: | Recurso Electrónico livro electrónico |
| Idioma: | inglês |
| Publicado em: |
Cham :
Springer Nature Switzerland : Imprint: Birkhäuser,
2023.
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| Edição: | 1st ed. 2023. |
| Colecção: | Compact Textbooks in Mathematics,
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| Assuntos: | |
| Acesso em linha: | https://doi.org/10.1007/978-3-031-43914-8 |
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Sumário:
- 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.