Mathematical Visualization is a young new discipline. It offers efficient visualization tools to the classical subjects of mathematics, and applies mathematical techniques to problems in computer graphics and scientific visualization. Originally, it started in the interdisciplinary area of differential geometry, numerical mathematics, and computer graphics. In recent years, the methods developed have found important applications. The current volume is the quintessence of an international workshop in September 1997 in Berlin, focusing on recent developments in this emerging area. Experts present selected research work on new algorithms for visualization problems, describe the application and experiments in geometry, and develop new numerical or computer graphical techniques.

Government's ever-increasing participation in communication processes, Mark Yudof argues, threatens key democratic values that the First Amendment was designed to protect. Government control over the exchange of ideas and information would be inconsistent with citizen autonomy, informed consent, and a balanced and mutually responsive relationship between citizens and their government. Yet the danger of government dominance must be weighed against the necessary role of government in furthering democratic values by proposing and promotion policies and by disseminating information and educating citizens. Restraints on government's ability to control communications processes are desirable, but excessive or inappropriate restrictions threaten democracy. Professor Yudof identifies a number of formal and informal checks on government as disseminator, withholder, and controller of ideas and information. Where more controls are needed, the strengthening of pluralism and legislative oversight is generally the answer. Constitutional redress in the courts should be sought only in extreme instances, he cautions, to avoid judicial interference with legitimate policy objectives.