Transformations. Mathematical Approaches to Culture Change

✍ Scribed by Colin Renfrew, Kenneth Cooke

• Publisher: Elsevier Inc, Academic Press
• Year: 1979
• Tongue: English
• Leaves: 515
• Edition: 1st
• Category: Library

✦ Synopsis

This book represents a pioneer attempt to rethink the application of mathematical techniques to the study of the development of human societies. The editors, an archaeologist and a mathematician, have brought together the contributions of leading anthropologists, mathematicians, historians, archaeologists, and theoretical biologist, all of whom utilize mathematical concepts and methods to deepen our understanding of culture change in prehistoric and more recent societies

✦ Table of Contents

Content:
Front Matter, Page iii
Copyright, Page iv
Dedication, Page v
Le Temps scintille et le Songe est savoir, Page vi
List of Contributors, Pages xv-xvi
Foreword, Pages xvii-xviii, RENÉ THOM
Preface, Pages xix-xx, COLIN RENFREW, KENNETH L. COOKE
Acknowledgments, Pages xxi-xxii
INTRODUCTION TO MATHEMATICS AND CULTURE CHANGE, Page 1
1 - Transformations, Pages 3-44, COLIN RENFREW
2 - Mathematical Approaches to Culture Change, Pages 45-81, KENNETH L. COOKE
3 - Mathematics in the Field of History, Pages 83-90, RICHARD BELLMAN
4 - Morphogenesis in Biological and Social Systems, Pages 91-111, ROBERT ROSEN
INTRODUCTION TO HIERARCHY AND SOCIAL SPACE, Pages 113-115
5 - Simulating the Growth of Hierarchies, Pages 117-144, IAN HODDER
6 - Exploring Dominance: Predicting Polities from Centers, Pages 145-167, COLIN RENFREW, ERIC V. LEVEL
7 - A Reconstruction of Toltec Period Political Units in the Valley of Mexico, Pages 169-200, JOHN R. ALDEN
INTRODUCTION TO SIMULATION AND THE MEASUREMENT OF CHANGE, Pages 201-203
8 - Logistic Trends in Southwest Population Growth, Pages 205-220, JEFFREY L. EIGHMY
9 - Alternative Models of Prehistoric Change, Pages 221-236, FRED PLOG
10 - Settlement Simulation, Pages 237-255, A.J. CHADWICK
11 - Occupation Frequency Simulation on a Broad Ecotone, Pages 257-274, JOEL GUNN
12 - The Wave of Advance Model for the Spread of Agriculture in Europe, Pages 275-293, ALBERT J. AMMERMAN, L.L. CAVALLI-SFORZA
INTRODUCTION TO SYSTEMS AND SUBSYSTEM INTERACTION, Pages 295-298
13 - A Structural Model of Industrialized Societies: Evolutions, Stability, Policies, Governability, Pages 299-325, LUCIEN A. GÉRARDIN
14 - An Experiment on the Simulation of Culture Changes, Pages 327-348, KENNETH L. COOKE, COLIN RENFREW
INTRODUCTION TO THE DECISION NEXUS AND EARLY ECONOMIES, Pages 349-352
15 - A Preliminary Consideration of Behavioral Change, Pages 353-368, MICHAEL B. SCHIFFER
16 - Economic Optimization Models and the Study of Hunter–Gatherer Subsistence Settlement Systems, Pages 369-404, ARTHUR S. KEENE
17 - A Formal Mathematical Model for the Operation of Consensus-Based Hunting–Gathering Bands, Pages 405-418, ROBERT G.D. REYNOLDS, BERNARD P. ZEIGLER
INTRODUCTION TO HOLISTIC BEHAVIOR AND CATASTROPHE THEORY, Pages 419-423
18 - The Elements of Catastrophe Theory or The Honing of Occam's Razor, Pages 425-436, TIM POSTON
19 - Discontinuities in the Endogenous Change of Settlement Pattern, Pages 437-461, COLIN RENFREW, TIM POSTON
20 - A Geometrical Model of Ideologies, Pages 463-479, E.C. ZEEMAN
21 - Systems Collapse as Social Transformation: Catastrophe and Anastrophe in Early State Societies, Pages 481-506, COLIN RENFREW
Index, Pages 507-515