The Mathematics Of Marriage

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.

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.

Uses math as a tool for explaining the complicated patterns of love, tackling such common questions as the chance of finding love that will last, how online dating works, and when to compromise.

'This is a very stimulating book!' - N. G. de Bruijn. 'This short book will provide extremely enjoyable reading to anyone with an interest in discrete mathematics and algorithm design' - ""Mathematical Reviews"". 'This book is an excellent (and enjoyable) means of sketching a large area of computer science for specialists in other fields: It requires little previous knowledge, but expects of the reader a degree of mathematical facility and a willingness to participate. It is really neither a survey nor an introduction; rather, it is a paradigm, a fairly complete treatment of a single example used as a synopsis of a larger subject' - ""SIGACT News"". 'Anyone would enjoy reading this book. If one had to learn French first, it would be worth the effort!' - ""Computing Reviews"". The above citations are taken from reviews of the initial French version of this text - a series of seven expository lectures that were given at the University of Montreal in November of 1975.The book uses the appealing 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. The presentation is elementary, and the topics are interesting to nonspecialists. The theory is quite beautiful and developing rapidly. Exercises with answers, an annotated bibliography, and research problems are included.The text would be appropriate as supplementary reading for undergraduate research seminars or courses in algorithmic analysis and for graduate courses in combinatorial algorithms, operations research, economics, or analysis of algorithms. Donald E. Knuth is one of the most prominent figures of modern computer science. His works in ""The Art of Computer Programming"" are classic. He is also renowned for his development of TeX and METAFONT. In 1996, Knuth won the prestigious Kyoto Prize, considered to be the nearest equivalent to a Nobel Prize in computer science.

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.

NEW YORK TIMES BESTSELLER • Over a million copies sold! “An eminently practical guide to an emotionally intelligent—and long-lasting—marriage.”—Daniel Goleman, author of Emotional Intelligence The Seven Principles for Making Marriage Work has revolutionized the way we understand, repair, and strengthen marriages. John Gottman’s unprecedented study of couples over a period of years has allowed him to observe the habits that can make—and break—a marriage. Here is the culmination of that work: the seven principles that guide couples on a path toward a harmonious and long-lasting relationship. Straightforward yet profound, these principles teach partners new approaches for resolving conflicts, creating new common ground, and achieving greater levels of intimacy. Gottman offers strategies and resources to help couples collaborate more effectively to resolve any problem, whether dealing with issues related to sex, money, religion, work, family, or anything else. Packed with new exercises and the latest research out of the esteemed Gottman Institute, this revised edition of The Seven Principles for Making Marriage Work is the definitive guide for anyone who wants their relationship to attain its highest potential.

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!

Mathematical thinking provides a clear, crisp way of defining problems. Our whole technology is based on it. What is less appreciated is that mathematical thinking can also be applied to problems in the social and behavioral sciences. This book illustrates how mathematics can be used to understand human and animal behavior, using examples in psychology, sociology, economics, ecology, and even marriage counseling.