The purpose of this four volume series is to make available for college
teachers and students samples of important and realistic applications of
mathematics which can be covered in undergraduate programs. The goal is
to provide illustrations of how modem mathematics is actually employed
to solve relevant contemporary problems. Although these independent
chapters were prepared primarily for teachers in the general
mathematical sciences, they should prove valuable to students, teachers,
and research scientists in many of the fields of application as well.
Prerequisites for each chapter and suggestions for the teacher are
provided. Several of these chapters have been tested in a variety of
classroom settings, and all have undergone extensive peer review and
revision. Illustrations and exercises be covered in one class, are
included in most chapters. Some units can whereas others provide
sufficient material for a few weeks of class time. Volume 1 contains 23
chapters and deals with differential equations and, in the last four
chapters, problems leading to partial differential equations.
Applications are taken from medicine, biology, traffic systems and
several other fields. The 14 chapters in Volume 2 are devoted mostly to
problems arising in political science, but they also address questions
appearing in sociology and ecology. Topics covered include voting
systems, weighted voting, proportional representation, coalitional
values, and committees. The 14 chapters in Volume 3 emphasize discrete
mathematical methods such as those which arise in graph theory,
combinatorics, and networks.
