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.

"A mathematician pulls back the curtain and reveals the hidden patterns--from dating sites to divorce, sex to marriage--behind the rituals of love ... applying mathematical formulas to the most common yet complex questions pertaining to love: What's the chance of finding love? What's the probability that it will last? How do online dating algorithms work, exactly? Can game theory help us decide who to approach in a bar? At what point in your dating life should you settle down?"--Amazon.com.

Uses the theory of stable marriage to introduce and illustrate a variety of important concepts and techniques of computer science and mathematics: data structures, control structures, combinatorics, probability, analysis, algebra, and especially the analysis of algorithms.

Marital Interaction: Experimental Investigations deals with experimental studies on marital interaction. Emphasis is on the importance of the role of description in the study of social interaction. Methods for the analysis of pattern and sequence, including cross-spectral time-series analysis, are also presented. Comprised of 15 chapters, this book begins with a historical review of several research traditions that have concerned themselves with families and marriages: the sociological tradition; the family therapy or systems tradition; the social learning tradition; and the developmental tradition. Research that points to the potential importance of the observation of consensual decision-making processes is also reviewed. A model of marital interaction called the Structural Model, which can be used to predict changes in marital satisfaction, is described. Subsequent chapters focus on the Couples Interaction Scoring System, an observational system for categorizing marital interaction; modern concepts of the assessment of reliability, particularly the stringent assessment that is necessary for sequential analysis; differences between well-functioning and poorly functioning marriages; couples' interactional styles in terms of communication skill deficits; and the concept of an individual's social competence. This monograph will be of interest to psychologists engaged in research on marriage, as well as sociologists and clinical researchers.

The definitive anthology of wisdom and wit about one of life’s most complex, intriguing, and personal subjects. When and whom do you marry? How do you keep a spouse content? Do all engaged couples get cold feet? How cold is so cold that you should pivot and flee? Where and how do children fit in? Is infidelity always wrong? In this volume, you won’t find a single answer to your questions about marriage; you will find hundreds. Spanning centuries and cultures, sources and genres, The Marriage Book offers entries from ancient history and modern politics, poetry and pamphlets, plays and songs, newspaper ads and postcards. It is an A to Z compendium, exploring topics from Adam and Eve to Anniversaries, Fidelity to Freedom, Separations to Sex. In this volume, you’ll hear from novelists, clergymen, sex experts, and presidents, with guest appearances by the likes of Liz and Dick, Ralph and Alice, Louis CK, and Neil Patrick Harris. Casanova calls marriage the tomb of love, and Stephen King calls it his greatest accomplishment. With humor, perspective, breadth, and warmth, The Marriage Book is sure to become a classic.

Stereotypically, science and emotion are diametric opposites: one is cold and unfeeling, the other soft and nebulous; one is based on proven facts while the other is based on inexplicable feelings and “never the twain shall meet,” until now. John Gottman delves into the unquantifiable realm of love, armed with science and logic, and emerges with the knowledge that relationships can be not only understood, but also predicted as well. Based on research done at his Love Lab and other laboratories, Gottman has discovered that the future of love relationships can be predicted with a startling 91% success rate. These predictions can help couples to prevent disasters in their relationships, recognize the signs of a promising relationship, and perhaps more importantly, recognize the signs of a doomed one. Principia Amoris also introduces Love Equations, a mathematical modeling of relationships that helps understand predictions. Love Equations are powerful tools that can prevent relationship distress and heal ailing relationships. Readers learn about the various research and studies that were done to discover the science behind love, and are treated to a history of the people, ideas, and events that shaped our current understanding. They also learn about: • The “Four Horsemen of the Apocalypse” • 45 natural principles of love • 5 couple types • 5 recipes for good relationships • And much more! Just as science helped us to understand the physical world, it is helping us to understand the emotional world as well. Using the insights in this book, mental health professionals can meaningfully help their distressed clients, as well as better understand why a relationship is failing or succeeding. Appropriate for the curious non-mental health professional as well, Principia Amoris is a must-have on any bookshelf!

This book probes the stable marriage problem and its variants as a rich source of problems and ideas that illustrate both the design and analysis of efficient algorithms. It covers the most recent structural and algorithmic work on stable matching problems, simplifies and unifies many earlier proofs, strengthens several earlier results, and presents new results and more efficient algorithms.The authors develop the structure of the set of stable matchings in the stable marriage problem in a more general and algebraic context than has been done previously; they discuss the problem's structure in terms of rings of sets, which allows many of the most useful features to be seen as features of a more general set of problems. The relationship between the structure of the stable marriage problem and the more general stable roommates problem is demonstrated, revealing many commonalities.The results the authors obtain provide an algorithmic response to the practical, and political, problems created by the asymmetry inherent in the Gale Shapley solutions, leading to alternative methods and better compromises than are provided by the Gale Shapley method. And, in contrast to Donald Knuth's earlier work which primarily focused on the application of mathematics to the analysis of algorithms, this book illustrates the productive and almost inseparable relationship between mathematical insight and the design of efficient algorithms.Dan Gusfield is Associate Professor of Computer Science at the University of California, Davis. Robert W. Irving is Senior Lecturer in Computing Science at the University of Glasgow. The Stable Marriage Problem is included in the Foundations of Computing Series, edited by Michael Garey and Albert Meyer.