Publisher's Synopsis
Encyclopaedia of Computational and Applied Mathematics, a compilation of research articles, provides a compre¬hensive look at how classical methods are used in many fields and contexts. Applied Mathematics (AM) is dedicated to the latest advancements in applied mathematics. The goal of this book is to assist scientists and academicians, and discuss various new issues and developments in different areas of applied mathematics. From ecological modeling to electromagnetic theory, from robotics to meteorology, areas of investigation in Applied Mathematics are diverse. Such applications can occur in any field of human endeavor. Most commonly known are those in science, economics or engineering, where, for example, Einstein invented the general theory of relativity by applying methods from dif¬ferential geometry to the structure of space and time; Arrow probed the limits of democracy as an institution by cal¬culating the probabilities that decisions cannot be reached on purely rational terms; Black, Sholes and Merton wrote down a fundamental formula for the price of an option, by applying the theory of random walks to the stock market; Shannon characterized an information source in mathematical terms, and in so doing laid the quantitative basis for modern information technology. The application of mathematics has been greatly influential in many spheres of sci¬ence, industry, and society for describing the past, understanding or analyzing the present, and predicting the future. But applied mathematics, by virtue of the fundamental tool, is inclined to be largely theoretical and miss out on its great potential. It is of utmost importance that modeling projects always have the larger goals of application in mind and clearly present the important practical results to the appropriate community of influence, without esoteric rhetoric of mathematical details. It is also important to remember that the emphasis in the phrase 'applied mathematics' is not in the word 'mathematics' but in that it is 'applied'.
