This volume provides an extensive study of some of the most important topics of current interest in functional equations and inequalities. Subjects dealt with include: a Pythagorean functional equation, a functional definition of trigonometric functions, the functional equation of the square root spiral, a conditional Cauchy functional equation, an iterative functional equation, the Hille-type functional equation, the polynomial-like iterative functional equation, distribution of zeros and inequalities for zeros of algebraic polynomials, a qualitative study of Lobachevsky's complex functional equation, functional inequalities in special classes of functions, replicativity and function spaces, normal distributions, some difference equations, finite sums, decompositions of functions, harmonic functions, set-valued quasiconvex functions, the problems of expressibility in some extensions of free groups, Aleksandrov problem and mappings which preserve distances, Ulam's problem, stability of some functional equation for generalized trigonometric functions, Hyers-Ulam stability of Hosszú's equation, superstability of a functional equation, and some demand functions in a duopoly market with advertising. Audience: This book will be of interest to mathematicians and graduate students whose work involves real functions, functions of a complex variable, functional analysis, integral transforms, and operational calculus.

The articles included in this book are from the ICTMA 9 conference held in Lisbon, attended by delegates from about 30 countries. This work records the 1999 Lisbon Conference of ICTMA. It contains the selected and edited content of the conference and makes a significant contribution to mathematical modelling which is the significant investigative preliminary to all scientific and technological applications from machinery to satellites and docking of space-ships. - Contains the selected and edited content of the 1999 Lisbon Conference of ICTMA - Makes a significant contribution to mathematical modelling, which is the significant investigative preliminary to all scientific and technological applications from machinery to satellites and docking of space-ships

The book aims at showing the state-of-the-art in the field of modeling and applications in mathematics education. This is the first volume to do this. The book deals with the question of how key competencies of applications and modeling at the heart of mathematical literacy may be developed; with the roles that applications and modeling may play in mathematics teaching, making mathematics more relevant for students.

The North American Mosaic has four overarching features. First, it is, to the extent feasible, based on comparable information on the status and trends of major indicators of the state of the environment in Canada,Mexico, and the United States. Second, the report confirms that these three countries together make up an incredibly complex, dynamic, and interconnected ecosystem in which humans play a dominant and decisive role. Third, the report raises important and sometimes disquieting questions concerning the sustainability of some current trends. Finally, the report is a reminder that our economic, social, and physical well-being are utterly dependent on the life-sustaining services provided by nature. This report emphasizes the importance of developing mutually compatible economic, social, and environmental goals and policies across the three-country region.

This book addresses two significant research areas in an interdependent fashion. It is first of all a comprehensive but concise text that covers the recently developed and widely applicable methods of qualitative choice analysis, illustrating the general theory through simulation models of automobile demand and use. It is also a detailed study of automobile demand and use, presenting forecasts based on these powerful new techniques. The book develops the general principles that underlie qualitative choice models that are now being applied in numerous fields in addition to transportation, such as housing, labor, energy, communications, and criminology. The general form, derivation, and estimation of qualitative choice models are explained, and the major models - logit, probit, and GEV - are discussed in detail. And continuous/discrete models are introduced. In these, qualitative choice methods and standard regression techniques are combined to analyze situations that neither alone can accurately forecast. Summarizing previous research on auto demand, the book shows how qualitative choice methods can be used by applying them to specific auto-related decisions as the aggregate of individuals' choices. The simulation model that is constructed is a significant improvement over older models, and should prove more useful to agencies and organizations requiring accurate forecasting of auto demand and use for planning and policy development. The book concludes with an actual case study based on a model designed for the investigations of the California Energy Commission. Kenneth Train is Visiting Associate Professor in Economics at the University of California, Berkeley, and Director of Economic Research at Cambridge Systematics, Inc., also in Berkeley. Qualitative Choice Analysisis included in The MIT Press Transportation Studies Series, edited by Marvin L. Manheim.

In this expanded and revised edition of a fresh and original case-study textbook on environmental ethics, Christine Gudorf and James Huchingson continue to explore the line that separates the current state of the environment from what it should be in the future. Boundaries begins with a lucid overview of the field, highlighting the key developments and theories in the environmental movement. Specific cases offer a rich and diverse range of situations from around the globe, from saving the forests of Java and the use of pesticides in developing countries to restoring degraded ecosystems in Nebraska. With an emphasis on the concrete circumstances of particular localities, the studies continue to focus on the dilemmas and struggles of individuals and communities who face daunting decisions with serious consequences. This second edition features extensive updates and revisions, along with four new cases: one on water privatization, one on governmental efforts to mitigate global climate change, and two on the obstacles that teachers of environmental ethics encounter in the classroom. Boundaries also includes an appendix for teachers that describes how to use the cases in the classroom.