Transseries and Real Differential Algebra
Transseries are formal objects constructed from an infinitely large variable x and the reals using infinite summation, exponentiation and logarithm. They are suitable for modeling "strongly monotonic" or "tame" asymptotic solutions to differential equations and find their origin...
Clasificación: | Libro Electrónico |
---|---|
Autor principal: | |
Autor Corporativo: | |
Formato: | Electrónico eBook |
Idioma: | Inglés |
Publicado: |
Berlin, Heidelberg :
Springer Berlin Heidelberg : Imprint: Springer,
2006.
|
Edición: | 1st ed. 2006. |
Colección: | Lecture Notes in Mathematics,
1888 |
Temas: | |
Acceso en línea: | Texto Completo |
Tabla de Contenidos:
- Orderings
- Grid-based series
- The Newton polygon method
- Transseries
- Operations on transseries
- Grid-based operators
- Linear differential equations
- Algebraic differential equations
- The intermediate value theorem.