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Mathematical sociology

Author: Robert K Leik; Barbara Foley Meeker
Publisher: Englewood Cliffs, N.J. : Prentice-Hall, [1975]
Series: Prentice-Hall methods of social science series.
Edition/Format:   Print book : EnglishView all editions and formats
Database:WorldCat
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Additional Physical Format: Online version:
Leik, Robert K.
Mathematical sociology.
Englewood Cliffs, N.J. : Prentice-Hall, [1975]
(OCoLC)651783441
Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Robert K Leik; Barbara Foley Meeker
ISBN: 0135621089 9780135621080
OCLC Number: 1371206
Description: xii, 242 pages : illustrations ; 24 cm.
Contents: Chapter 1: Model building: the tie between theory and data --
What a mathematical model is --
The theory-model-data triangle --
Some comments on the uses of mathematics in sociology --
Chapter 2: A power-function model of status --
Translation into Mathematics --
Development and tests of the model --
Extensions of the model --
Evaluating the model --
Conclusions: benefits and costs of mathematics --
Problems --
Chapter 3: The distribution of acts in small groups --
Chapter 4: Graphs, matrices, and structural balance --
Translation into mathematics --
Other mathematical representations of balanced structures --
Tests and extensions of the model --
Evaluating the model --
Problems --
Chapter 5: Kinship and clique structures --
Kinship structure models --
Analyzing cliques and status structures --
Summary --
Problems --
Chapter 6: Identifying causes in structures --
Marginal analysis using partial differential equations --
Some final notes on structure models --
Problems --
Chapter 7: Time series data and diffusion --
Curve fitting with time series data --
Process models: diffusion --
Problems --
Chapter 8: Computer simulation and renewal processes --
A computer simulation of interpersonal choice --
A model of birth control processes --
Problems --
Chapter 9: Markov processes and occupational mobility --
A brief introduction to Markov processes --
Markov models of mobility --
Problems --
Chapter 10: Value conflict in two-person interaction --
Chapter 11: Discrete-state continuous time models --
Estimating parameters --
Comments on the model --
Problems --
Chapter 12: Working with mathematical models --
Questions about variables --
Questions about relationships --
Key questions for model building --
General philosophical considerations --
Inspiration for the model builder.
Series Title: Prentice-Hall methods of social science series.
Responsibility: Robert K. Leik, B.F. Meeker.

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