Divorce rates are at an all-time high. But without a theoretical
understanding of the processes related to marital stability and
dissolution, it is difficult to design and evaluate new marriage
interventions. The Mathematics of Marriage provides the foundation
for a scientific theory of marital relations. The book does not
rely on metaphors, but develops and applies a mathematical model
using difference equations. The work is the fulfillment of the goal
to build a mathematical framework for the general system theory of
families first suggested by Ludwig Von Bertalanffy in the 1960s.The
book also presents a complete introduction to the mathematics
involved in theory building and testing, and details the
development of experiments and models. In one "marriage
experiment," for example, the authors explored the effects of
lowering or raising a couple's heart rates. Armed with their
mathematical model, they were able to do real experiments to
determine which processes were affected by their
interventions.Applying ideas such as phase space, null clines,
influence functions, inertia, and uninfluenced and influenced
stable steady states (attractors), the authors show how other
researchers can use the methods to weigh their own data with
positive and negative weights. While the focus is on modeling
marriage, the techniques can be applied to other types of
psychological phenomena as well.
General
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