Investigating Human Interaction through Mathematical Analysis

Investigating Human Interaction through Mathematical Analysis offers a new and unique approach to social intragroup interaction by using mathematics and psychophysics to create a mathematical model based on social psychological theories. It draws on the work of Dr. Stanley Milgram, Dr. Bibb Latane,...

Full description

Saved in:
Bibliographic Details
Main Author: Brintzenhofe, Kurt T.
Format: Online
Language:English
Published: Taylor & Francis 2025
Subjects:
Online Access:ONIX_20250527T122911_9781000790610_25
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1869514463762186240
author Brintzenhofe, Kurt T.
author_browse Brintzenhofe, Kurt T.
author_facet Brintzenhofe, Kurt T.
author_sort Brintzenhofe, Kurt T.
collection Directory of Open Access Books
description Investigating Human Interaction through Mathematical Analysis offers a new and unique approach to social intragroup interaction by using mathematics and psychophysics to create a mathematical model based on social psychological theories. It draws on the work of Dr. Stanley Milgram, Dr. Bibb Latane, and Dr. Bernd Schmitt to develop an algebraic expression and applies it to quantitatively model and explain various independent social psychology experiments taken from refereed journals involving basic social systems with underlying queue-like structures. It is then argued that the social queue as a resource system, containing common-pool resources, meets the eight design principles necessary to support stability within the queue. Making this link provides a means to advance to more complex social systems. It is envisioned that if basic social systems as presented can be modeled, then, with further development, more complex social systems may eventually be modeled for the purpose of identifying and validating social structures that might eventually support stable governments in our common environment called Earth. This is a fascinating reading for academics and advanced students interested in political theory, detection theory, social psychology, organizational behavior, psychophysics, and applied mathematics in the social and information sciences. The Open Access version of this book, available at www.taylorfrancis.com, has been made available under a Creative Commons Attribution-Non Commercial-No Derivatives 4.0 license.
format Online
id doab-20.500.12854ir-160595
institution Directory of Open Access Books
language eng
publishDate 2025
publishDateRange 2025
publishDateSort 2025
publisher Taylor & Francis
publisherStr Taylor & Francis
record_format ojs
spelling doab-20.500.12854ir-1605952025-05-28T05:25:47Z Investigating Human Interaction through Mathematical Analysis Brintzenhofe, Kurt T. Social psychology mathematics algebra psychophysics Milgram Pettigrew Fechner’s Law social impact theory group membership social group interactions queuing social systems social structures crowds Waiting Lines experiment social space social dynamics Sensation Magnitude Cumulative Distribution Function Queue Member William III Cauchy Functional Equation Stimulus Intensity United Diet Naive Subject Weber’s Law Time Order Error German Confederation Festinger’s Cognitive Dissonance Theory thema EDItEUR::J Society and Social Sciences::JM Psychology::JMH Social, group or collective psychology thema EDItEUR::J Society and Social Sciences::JM Psychology::JMB Psychological methodology thema EDItEUR::P Mathematics and Science::PB Mathematics::PBF Algebra thema EDItEUR::P Mathematics and Science::PH Physics::PHV Applied physics Investigating Human Interaction through Mathematical Analysis offers a new and unique approach to social intragroup interaction by using mathematics and psychophysics to create a mathematical model based on social psychological theories. It draws on the work of Dr. Stanley Milgram, Dr. Bibb Latane, and Dr. Bernd Schmitt to develop an algebraic expression and applies it to quantitatively model and explain various independent social psychology experiments taken from refereed journals involving basic social systems with underlying queue-like structures. It is then argued that the social queue as a resource system, containing common-pool resources, meets the eight design principles necessary to support stability within the queue. Making this link provides a means to advance to more complex social systems. It is envisioned that if basic social systems as presented can be modeled, then, with further development, more complex social systems may eventually be modeled for the purpose of identifying and validating social structures that might eventually support stable governments in our common environment called Earth. This is a fascinating reading for academics and advanced students interested in political theory, detection theory, social psychology, organizational behavior, psychophysics, and applied mathematics in the social and information sciences. The Open Access version of this book, available at www.taylorfrancis.com, has been made available under a Creative Commons Attribution-Non Commercial-No Derivatives 4.0 license. 2025-05-28T05:25:46Z 2025-05-28T05:25:46Z 2025-05-27T10:37:21Z 2023 book ONIX_20250527T122911_9781000790610_25 https://library.oapen.org/handle/20.500.12657/102747 9781000790610 9781032350714 9781032350745 9781000790696 9781003325161 https://directory.doabooks.org/handle/20.500.12854/160595 eng open access image/jpeg Attribution-NonCommercial-NoDerivatives 4.0 International https://library.oapen.org/bitstream/20.500.12657/102747/1/9781000790610.pdf Taylor & Francis Routledge 10.4324/9781003325161 10.4324/9781003325161 fa69b019-f4ee-4979-8d42-c6b6c476b5f0 9781000790610 9781032350714 9781032350745 9781000790696 9781003325161 Routledge 216 Oxford open access
spellingShingle Social psychology
mathematics
algebra
psychophysics
Milgram
Pettigrew
Fechner’s Law
social impact theory
group membership
social group interactions
queuing
social systems
social structures
crowds
Waiting Lines experiment
social space
social dynamics
Sensation Magnitude
Cumulative Distribution Function
Queue Member
William III
Cauchy Functional Equation
Stimulus Intensity
United Diet
Naive Subject
Weber’s Law
Time Order Error
German Confederation
Festinger’s Cognitive Dissonance Theory
thema EDItEUR::J Society and Social Sciences::JM Psychology::JMH Social, group or collective psychology
thema EDItEUR::J Society and Social Sciences::JM Psychology::JMB Psychological methodology
thema EDItEUR::P Mathematics and Science::PB Mathematics::PBF Algebra
thema EDItEUR::P Mathematics and Science::PH Physics::PHV Applied physics
Brintzenhofe, Kurt T.
Investigating Human Interaction through Mathematical Analysis
title Investigating Human Interaction through Mathematical Analysis
title_full Investigating Human Interaction through Mathematical Analysis
title_fullStr Investigating Human Interaction through Mathematical Analysis
title_full_unstemmed Investigating Human Interaction through Mathematical Analysis
title_short Investigating Human Interaction through Mathematical Analysis
title_sort investigating human interaction through mathematical analysis
topic Social psychology
mathematics
algebra
psychophysics
Milgram
Pettigrew
Fechner’s Law
social impact theory
group membership
social group interactions
queuing
social systems
social structures
crowds
Waiting Lines experiment
social space
social dynamics
Sensation Magnitude
Cumulative Distribution Function
Queue Member
William III
Cauchy Functional Equation
Stimulus Intensity
United Diet
Naive Subject
Weber’s Law
Time Order Error
German Confederation
Festinger’s Cognitive Dissonance Theory
thema EDItEUR::J Society and Social Sciences::JM Psychology::JMH Social, group or collective psychology
thema EDItEUR::J Society and Social Sciences::JM Psychology::JMB Psychological methodology
thema EDItEUR::P Mathematics and Science::PB Mathematics::PBF Algebra
thema EDItEUR::P Mathematics and Science::PH Physics::PHV Applied physics
topic_facet Social psychology
mathematics
algebra
psychophysics
Milgram
Pettigrew
Fechner’s Law
social impact theory
group membership
social group interactions
queuing
social systems
social structures
crowds
Waiting Lines experiment
social space
social dynamics
Sensation Magnitude
Cumulative Distribution Function
Queue Member
William III
Cauchy Functional Equation
Stimulus Intensity
United Diet
Naive Subject
Weber’s Law
Time Order Error
German Confederation
Festinger’s Cognitive Dissonance Theory
thema EDItEUR::J Society and Social Sciences::JM Psychology::JMH Social, group or collective psychology
thema EDItEUR::J Society and Social Sciences::JM Psychology::JMB Psychological methodology
thema EDItEUR::P Mathematics and Science::PB Mathematics::PBF Algebra
thema EDItEUR::P Mathematics and Science::PH Physics::PHV Applied physics
url ONIX_20250527T122911_9781000790610_25
work_keys_str_mv AT brintzenhofekurtt investigatinghumaninteractionthroughmathematicalanalysis