History of Quantum Mechanics The concept of the wave nature of atomic particles. This is the foundation of the mathematical discipline.(1) From wave mechanics we can understand and predict the properties of molecules as individual entities (the so-called microscopic state); (2) The properties of molecules(the macroscopic state) can be obtained by applying statistical techniques to these microscopic results
CFD the systematic application of computing systems and computational solution techniques to mathematical models formulated to describe and simulate fluid dynamic phenomena. Simulation is used by engineers and physicists to forecast or reconstruct the behaviour of an engineering product or physical situation under assumed or measured
Lecture 1 Introduction and classification of geometric modeling forms 1.1 Motivation Geometric modeling deals with the mathematical representation of curves, surfaces, and solids necessary in the definition of complex physical or engineering objects. The associated field of computational geometry is concerned with the development, analysis, and computer implemen tation of algorithms encountered in geometric modeling. The objects we are concerned with in engineering range from the simple
The outside surface of a ship is the surface of a solid with curvature in two directions. The curves which express this surface are not in general given by mathematical expressions, although attempts have been made from time to time to express the surface mathematically. It is necessary
