Symbolic Algebraic Methods and Verification Methods

The usual 'œimplementation' of real numbers as floating point numbers on existing computers has the well-known disadvantage that most of the real numbers are not exactly representable in floating point. Also the four basic arithmetic operations can usually not be performed exactly. During the last years research in different areas has been intensified in order to overcome these problems. (LEDA-Library by K. Mehlhorn et al., 'œExact arithmetic with real numbers' by A. Edalat et al., Symbolic algebraic methods, verification methods). The latest development is the combination of symbolic-algebraic methods and verification methods to so-called hybrid methods. ' This book contains a collection of worked out talks on these subjects given during a Dagstuhl seminar at the Forschungszentrum für Informatik, Schloß Dagstuhl, Germany, presenting the state of the art.Alefeld, G. is the author of 'Symbolic Algebraic Methods and Verification Methods', published 2000 under ISBN 9783211835937 and ISBN 3211835938.