The Mathematics of Marriage

Dynamic Nonlinear Models

Collectif d'auteurs

420 pages, parution le 17/02/2003

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Résumé

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.

Contents

What do We Mean by Theory?
What Phenomena Are We Modeling?
Nonlinear Dynamic Modeling
Calculus - The Mathematics of Change
Introduction to Dynamic Modeling
Modeling Catastrophic Change
Intuitive Discussion of Phase Space Plots
Interacting Dyadic Systems
Writing the Equations of Marriage
Initial Results of Our Modeling
Who Needs All This Math?
Applying the Model to Newlyweds
Repair and Damping
Extending the Marriage Model
The Core Triad of Balance
The Marriage Experiments
How to Prepare Data for Modeling

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Caractéristiques techniques

	PAPIER
Éditeur(s)	The MIT Press
Auteur(s)	Collectif d'auteurs
Parution	17/02/2003
Nb. de pages	420
Format	16 x 23,5
Couverture	Relié
Poids	696g
Intérieur	Noir et Blanc
EAN13	9780262072267
ISBN13	978-0-262-07226-7