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Discrete Calculus Methods for Counting /
This book provides an introduction to combinatorics, finite calculus, formal series, recurrences, and approximations of sums. Readers will find not only coverage of the basic elements of the subjects but also deep insights into a range of less common topics rarely considered within a single book, su...
| Clasificación: | Libro Electrónico |
|---|---|
| Autores principales: | , |
| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cham :
Springer International Publishing : Imprint: Springer,
2016.
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| Edición: | 1st ed. 2016. |
| Colección: | La Matematica per il 3+2,
103 |
| Temas: | |
| Acceso en línea: | Texto Completo |
Tabla de Contenidos:
- 1 Let's Learn to Count
- 2 Counting Sequences and Collections
- 3 Occupancy Constraints
- 4 Inclusion/Exclusion
- 5 Stirling Numbers and Eulerian Numbers
- 6 Manipulation of Sums
- 7 Formal Power Series
- 8 Generating Formal Series and Applications
- 9 Recurrence Relations
- 10 Linear Recurrence Relations
- 11 Symbolic Calculus
- 12 The Euler-Maclaurin Formulas of Order 1 and 2
- 13 The Euler-Maclaurin Formula of Arbitrary Order
- 14 Cauchy and Riemann Sums, Factorials, Ramanujan Numbers and their Approximations
- 15 Tables and Formulas
- 16 Appendix A.