Theories Of Interval Arithmetic Mathematical Foundations And Applications [Paperback]

Reviews

This new book by Hend Dawood is a fresh introduction to some of the basics of interval computation. It stops short of discussing the more complicated subdivision methods for converging to ranges of values, however it provides a bit of perspective about complex interval arithmetic, constraint intervals, and modal intervals, and it does go into the design of hardware operations for interval arithmetic, which is something still to be done by computer manufacturers.
???- Ramon E. Moore, (The Founder of Interval Computations)
???Professor Emeritus of Computer and Information Science, Department of Mathematics, The Ohio State University, Columbus, U.S.A.

A popular math-oriented introduction to interval computations and its applications. This short book contains an explanation of the need for interval computations, a brief history of interval computations, and main interval computation techniques. It also provides an impressive list of main practical applications of interval techniques.
???- Vladik Kreinovich, (International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems)
???Professor of Computer Science, University of Texas at El Paso, El Paso, Texas, U.S.A.

I am delighted to see one more Egyptian citizen re-entering the field of interval mathematics invented in this very country thousands years ago.
???- Marek W. Gutowski,
???Institute of Physics, Polish Academy of Sciences, Warszawa, Poland


Book Description

Scientists are, all the time, in a struggle with uncertainty which is always a threat to a trustworthy scientific knowledge. A very simple and natural idea, to defeat uncertainty, is that of enclosing uncertain measured values in real closed intervals. On the basis of this idea, interval arithmetic is constructed. The idea of calculating with intervals is not completely new in mathematics: the colÃ&