The Mathematics of Marriage

The Mathematics of Marriage
Author: John M. Gottman
Publisher: MIT Press
Total Pages: 423
Release: 2005-01-14
Genre: Psychology
ISBN: 0262572303

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.

The Mathematics of Love

The Mathematics of Love
Author: Hannah Fry
Publisher: Simon and Schuster
Total Pages: 128
Release: 2015-02-03
Genre: Family & Relationships
ISBN: 1476784884

"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.

Stable Marriage and Its Relation to Other Combinatorial Problems

Stable Marriage and Its Relation to Other Combinatorial Problems
Author: Donald Ervin Knuth
Publisher: American Mathematical Soc.
Total Pages: 90
Release: 1997
Genre: Mathematics
ISBN: 0821806033

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

Marital Interaction
Author: John Mordechai Gottman
Publisher: Elsevier
Total Pages: 334
Release: 2013-10-22
Genre: Social Science
ISBN: 1483265986

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.

Ten Lessons to Transform Your Marriage

Ten Lessons to Transform Your Marriage
Author: John Gottman, PhD
Publisher: Harmony
Total Pages: 290
Release: 2007-06-26
Genre: Family & Relationships
ISBN: 1400050197

In Ten Lessons to Transform Your Marriage, marital psychologists John and Julie Gottman provide vital tools—scientifically based and empirically verified—that you can use to regain affection and romance lost through years of ineffective communication. In 1994, Dr. John Gottman and his colleagues at the University of Washington made a startling announcement: Through scientific observation and mathematical analysis, they could predict—with more than 90 percent accuracy—whether a marriage would succeed or fail. The only thing they did not yet know was how to turn a failing marriage into a successful one, so Gottman teamed up with his clinical psychologist wife, Dr. Julie Schwartz Gottman, to develop intervention methods. Now the Gottmans, together with the Love Lab research facility, have put these ideas into practice. What emerged from the Gottmans’ collaboration and decades of research is a body of advice that’s based on two surprisingly simple truths: Happily married couples behave like good friends, and they handle their conflicts in gentle, positive ways. The authors offer an intimate look at ten couples who have learned to work through potentially destructive problems—extramarital affairs, workaholism, parenthood adjustments, serious illnesses, lack of intimacy—and examine what they’ve done to improve communication and get their marriages back on track. Hundreds of thousands have seen their relationships improve thanks to the Gottmans’ work. Whether you want to make a strong relationship more fulfilling or rescue one that’s headed for disaster, Ten Lessons to Transform Your Marriage is essential reading.

The Marriage Book

The Marriage Book
Author: Lisa Grunwald
Publisher: Simon and Schuster
Total Pages: 560
Release: 2015-05-12
Genre: Family & Relationships
ISBN: 1439169675

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.

This Is How Your Marriage Ends

This Is How Your Marriage Ends
Author: Matthew Fray
Publisher: HarperCollins
Total Pages: 304
Release: 2022-03-22
Genre: Self-Help
ISBN: 0063072270

A thoughtful, down-to-earth, contemporary guide to help partners identify and address relationship-killing behavior patterns in their own lives. Good people can be bad at relationships. One night during his divorce, after one too many vodkas and a call with a phone-in-therapist who told him to “journal his feelings,” Matthew Fray started a blog. He needed to figure out how his ex-wife went from the eighteen-year-old college freshman who adored him to the angry woman who thought he was an asshole and left him. As he pieced together the story of his marriage and its end, Matthew began to realize a hard truth: even though he was a decent guy, he was a bad husband. As he shared raw, uncomfortable, and darkly humorous first-person stories about the lessons he’d learned from his failed marriage, a peculiar thing happened. Matthew started to gain a following. In January 2016 a post he wrote—“She Divorced Me Because I left the Dishes by the Sink”—went viral and was read over four million times. Filtered through the lens of his own surprising, life-changing experience and his years counseling couples, This Is How Your Marriage Ends exposes the root problem of so many relationships that go wrong. We simply haven’t been taught any of the necessary skills, Matthew explains. In fact, it is sometimes the assumption that we are acting on good intentions that causes us to alienate our partners and foment mistrust. With the humorous, entertaining, and counterintuitive approach of The Subtle Art of Not Giving a F*ck, and the practical insights of The 5 Love Languages, This is How Your Marriage Ends helps readers identify relationship-killing behavior patterns in their own lives, and offers solutions to break free from the cycles of dysfunction and destruction. It is must-read for every partner no matter what stage–beginning, middle, or even end—of your relationship.

The Stable Marriage Problem

The Stable Marriage Problem
Author: Dan Gusfield
Publisher:
Total Pages: 0
Release: 1989
Genre: Combinatorial analysis
ISBN: 9780262515528

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.