Cargando…
Mathematical modelling in one dimension : an introduction via difference and differential equations /
Uses a wide variety of applications to demonstrate the universality of mathematical techniques in describing and analysing natural phenomena.
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cambridge :
Cambridge University Press,
2013.
|
| Colección: | AIMS library series.
|
| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Cover; Contents; Preface; 1 Mathematical toolbox; 1.1 Difference equations; 1.2 Differential equations
- an introduction; 1.3 Some equations admitting closed form solutions; 1.4 The Cauchy problem
- existence and uniqueness; 2 Basic difference equations models and their analysis; 2.1 Difference equations of financial mathematics; 2.2 Difference equations of population theory; 2.3 Some applications of discrete population models; 2.4 Some explicitly solvable nonlinear models; 3 Basic differential equations models; 3.1 Equations related to financial mathematics; 3.2 Radiocarbon dating.
- 3.3 Differential equations for population models3.4 Equations of motion: second-order equations; 3.5 Equations arising from geometrical modelling; 4 Qualitative theory for a single equation; 4.1 Equilibria of first-order equations; 4.2 Equilibrium points of difference equations; 5 From discrete to continuous models and back; 5.1 Discretizing differential equations; 5.2 Discrete equations in continuous time models; 5.3 Stability of differential and difference equations; References; Index.