Cold atoms and molecules : a testground for fundamental many particle physics /

Preface
Principles of Mathematical Modeling
A complex world needs models
Systems, models, simulations
Mathematics is the natural modeling language
Definition of mathematical models
Examples and some more definitions
Even more definitions
Classification of mathematical models
Everything looks like a nail?
Phenomenological models
Elementary statistics
Linear regression
Multiple linear regression
Nonlinear regression
Neural networks
Design of experiments
Other phenomenological modeling approaches
Mechanistic models I: ODE's
Distinguished role of differential equations
Introductory examples
General idea of ODE's
Setting up ODE models
Some theory you should know
Solution of ODE's: Overview
Closed form solution
Numerical solutions
Fitting ODE's to data
More examples
Mechanistic models II: PDE's
Introduction
The heat equation
Some theory you should know
Closed form solution
Numerical solution of PDE's
The finite difference method
The finite element method
Finite element software.
A sample session using Salome Meca
A look beyond the heat equation
Other mechanistic modeling approaches.
CAELinux and the book software.
R (programming language and software environment)
Maxima