{"id":551,"date":"2020-10-04T13:59:09","date_gmt":"2020-10-04T20:59:09","guid":{"rendered":"https:\/\/blogs.ubc.ca\/classroomartwork\/?p=551"},"modified":"2022-09-27T14:21:00","modified_gmt":"2022-09-27T21:21:00","slug":"mathematics-tyson-sci337","status":"publish","type":"post","link":"https:\/\/blogs.ubc.ca\/classroomartwork\/mathematics-tyson-sci337\/","title":{"rendered":"Mathematics-Tyson-SCI337"},"content":{"rendered":"<p style=\"text-align: center;\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-medium wp-image-3087\" src=\"https:\/\/blogs.ubc.ca\/classroomartwork\/files\/2020\/10\/Screen-Shot-2022-09-27-at-2.20.34-PM-210x300.png\" alt=\"\" width=\"210\" height=\"300\" srcset=\"https:\/\/blogs.ubc.ca\/classroomartwork\/files\/2020\/10\/Screen-Shot-2022-09-27-at-2.20.34-PM-210x300.png 210w, https:\/\/blogs.ubc.ca\/classroomartwork\/files\/2020\/10\/Screen-Shot-2022-09-27-at-2.20.34-PM.png 418w\" sizes=\"auto, (max-width: 210px) 100vw, 210px\" \/><\/p>\n<p style=\"text-align: center;\"><strong><em>The Mathematics of Marriage<br \/>\n<\/em><\/strong><em>Dynamic Nonlinear Models<\/em><strong><em><br \/>\n<\/em><\/strong><\/p>\n<p style=\"text-align: center;\">(MIT Press, 2002)<br \/>\n<span style=\"color: #000000;\">SCI 337<\/span><\/p>\n<p>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.\u00a0<em>The Mathematics of Marriage<\/em>\u00a0provides 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 &#8220;marriage experiment,&#8221; for example, the authors explored the effects of lowering or raising a couple&#8217;s heart rates. Armed with their mathematical model, they were able to do real experiments to determine which processes were affected by their interventions.<\/p>\n<p>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.<\/p>\n<p><span style=\"color: #000000;\"><br \/>\n(Description Source: <a href=\"https:\/\/mitpress.mit.edu\/books\/mathematics-marriage\">MIT Press<\/a>)<br \/>\n<\/span><\/p>\n<p><span style=\"color: #000000;\"><em><br \/>\nAuthor<\/em><\/span><\/p>\n<p style=\"padding-left: 40px;\"><b>Rebecca Tyson\u00a0<\/b><span style=\"color: #000000;\">is a professor of Mathematics at the University of British Columbia (Okanagan). Her research area is mathematical biology, chiefly focussed on the <\/span><span style=\"color: #000000;\">population dynamics and spatial movement patterns of biological\u00a0<\/span><span style=\"color: #000000;\">populations in complex landscapes.\u00a0 She has also done significant work\u00a0<\/span><span style=\"color: #000000;\">aimed at understanding how opinion dynamics evolve in human populations,\u00a0<\/span><span style=\"color: #000000;\">and how they interact with disease dynamics.<\/span><\/p>\n<p style=\"padding-left: 40px;\"><strong>John M. Gottman<\/strong> is a professor of Psychology at the University of Washington.<\/p>\n<p style=\"padding-left: 40px;\"><span style=\"color: #000000;\"><strong>James D. Murray<\/strong> is a professor emeritus of Applied Mathematics at the University of Washington.<\/span><\/p>\n<p style=\"padding-left: 40px;\"><span style=\"color: #000000;\"><strong>Catherine Swanson<\/strong> is a software engineer at the University of Washington.<\/span><\/p>\n<p style=\"padding-left: 40px;\"><span style=\"color: #000000;\"><strong>Kristin R. Swanson<\/strong> is a senior fellow in Pathology and Applied Mathematics at the University of Washington.<br \/>\n<\/span><\/p>\n<p><span style=\"color: #000000;\"><em><br \/>\nUBC Library Holdings<\/em><\/span><\/p>\n<p style=\"padding-left: 40px;\"><a href=\"http:\/\/tinyurl.com\/y4towxtz\">http:\/\/tinyurl.com\/y4towxtz<\/a><\/p>\n<p><span style=\"color: #000000;\"><em><br \/>\nHow to Purchase this Book<\/em><\/span><\/p>\n<p style=\"padding-left: 40px;\"><span style=\"color: #000000;\">From the Publisher &#8211; <a href=\"https:\/\/mitpress.mit.edu\/\">MIT Press<\/a><\/span><br \/>\n<span style=\"color: #000000;\">From Used-book Sellers &#8211; <a href=\"https:\/\/www.abebooks.com\/\">ABE<\/a>, <a href=\"http:\/\/www.amazon.ca\">Amazon<\/a>, <a href=\"https:\/\/www.antiqbook.com\">Antiqbook<\/a>, <a href=\"https:\/\/www.biblio.com\">Biblio<\/a>, <a href=\"https:\/\/www.vialibri.net\">Vialibri<\/a><\/span><\/p>\n<p style=\"padding-left: 40px;\"><span style=\"color: #000000;\">Hardcover ISBN: 9780262072267<\/span><br \/>\n<span style=\"color: #000000;\">Paperback ISBN: 9780262572309<\/span><\/p>\n<p><span style=\"color: #000000;\"><em><br \/>\nUBC Okanagan Classroom Artwork Project <\/em><\/span><\/p>\n<p style=\"padding-left: 40px;\"><span style=\"color: #000000;\">The <em>University of British Columbia Okanagan Classroom Artwork Project<\/em> aims to display academically inspiring artwork in classrooms and other teaching areas of the university.<\/span><\/p>\n<p style=\"padding-left: 40px;\"><span style=\"color: #000000;\">Artwork displayed as part of this project \u2013 including the covers of books and journals containing work written or edited by UBCO scholars and researchers \u2013 is intended to help enliven university teaching spaces, educate classroom users about the connections between research and teaching, and introduce members of the broader public to some of the research and scholarship carried out at UBCO.<\/span><\/p>\n<p><span style=\"color: #000000;\"><em><br \/>\nHow to Submit Artwork <\/em><\/span><\/p>\n<p style=\"padding-left: 40px;\"><span style=\"color: #000000;\">If you know of other book or journal covers, or other academically inspiring artwork that is connected to work carried out by UBCO artists, scholars or researchers and that is consistent with UBCO\u2019s educational mission, please email your suggestions to <a href=\"mailto:classroom.artwork@ubc.ca\">classroom.artwork@ubc.ca<\/a>.<\/span><\/p>\n<p style=\"text-align: center;\">The\u00a0<em>UBC Okanagan Classroom Artwork Project<\/em>\u00a0began in 2019 with support from the Irving K. Barber School of Arts and Sciences. It is now a joint project of UBCO\u2019s Faculties and the Office of the Provost.<\/p>\n<p style=\"text-align: center;\"><span style=\"color: #000000;\">Artwork and other images that are a part of this project are displayed solely for educational purposes.<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>The Mathematics of Marriage Dynamic Nonlinear Models (MIT Press, 2002) SCI 337 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.\u00a0The Mathematics of Marriage\u00a0provides the foundation for a scientific theory of marital relations. [&hellip;]<\/p>\n","protected":false},"author":73825,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[32,34],"class_list":["post-551","post","type-post","status-publish","format-standard","hentry","category-uncategorized","tag-mathematics","tag-sociology"],"_links":{"self":[{"href":"https:\/\/blogs.ubc.ca\/classroomartwork\/wp-json\/wp\/v2\/posts\/551","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/blogs.ubc.ca\/classroomartwork\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/blogs.ubc.ca\/classroomartwork\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/blogs.ubc.ca\/classroomartwork\/wp-json\/wp\/v2\/users\/73825"}],"replies":[{"embeddable":true,"href":"https:\/\/blogs.ubc.ca\/classroomartwork\/wp-json\/wp\/v2\/comments?post=551"}],"version-history":[{"count":8,"href":"https:\/\/blogs.ubc.ca\/classroomartwork\/wp-json\/wp\/v2\/posts\/551\/revisions"}],"predecessor-version":[{"id":3088,"href":"https:\/\/blogs.ubc.ca\/classroomartwork\/wp-json\/wp\/v2\/posts\/551\/revisions\/3088"}],"wp:attachment":[{"href":"https:\/\/blogs.ubc.ca\/classroomartwork\/wp-json\/wp\/v2\/media?parent=551"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blogs.ubc.ca\/classroomartwork\/wp-json\/wp\/v2\/categories?post=551"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blogs.ubc.ca\/classroomartwork\/wp-json\/wp\/v2\/tags?post=551"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}