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New Handbook of Mathematical Psychology

Volume 1. Foundations and Methodology

$175.00 (R)

Part of Cambridge Handbooks in Psychology

Hans Colonius, Ehtibar N. Dzhafarov, Janne V. Kujala, Che Tat Ng, Jean-Paul Doignon, Jean-Claude Falmagne, John P. Boyd, William H. Batchelder, J. McKenzie Alexander, Anthony A. J. Marley, Michel Regenwetter, Jeffrey N. Rouder, Richard D. Morey, Michael S. Pratte, Jay Myung, Daniel R. Cavagnaro, Mark A. Pitt
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  • Date Published: February 2017
  • availability: In stock
  • format: Hardback
  • isbn: 9781107029088

$ 175.00 (R)
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About the Authors
  • The field of mathematical psychology began in the 1950s and includes both psychological theorizing, in which mathematics plays a key role, and applied mathematics, motivated by substantive problems in psychology. Central to its success was the publication of the first 'Handbook of Mathematical Psychology' in the 1960s. The psychological sciences have since expanded to include new areas of research, and significant advances have been made in both traditional psychological domains and in the applications of the computational sciences to psychology. Upholding the rigor of the first title in this field to be published, the New Handbook of Mathematical Psychology reflects the current state of the field by exploring the mathematical and computational foundations of new developments over the last half-century. This first volume focuses on select mathematical ideas, theories, and modeling approaches to form a foundational treatment of mathematical psychology.

    • Demonstrates how standard advanced mathematics can play an essential role in the psychological sciences
    • Focuses on mathematical foundations rather than specific empirical studies
    • Aims to increase the sophistication of students and scholars in mathematical psychology and related fields in the behavioral and social sciences, mathematics, economics, and analytic philosophy
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    Reviews & endorsements

    "This volume, the first of several, is a welcome effort to systematize the mathematical ideas and foundational issues that characterize modern developments in mathematical psychology. A highly readable resource for anyone interested in theory as it relates to the psychological and cognitive sciences."
    Richard C. Atkinson, President Emeritus of the University of California and Professor Emeritus of Psychological and Cognitive Sciences at the University of California, San Diego

    "Containing substantial chapters detailing applications of mathematics to a wide range of topics in behaviour and cognition, written by leading scholars in the field, and updated to reflect current trends and new developments, the New Handbook is destined become an essential resource for students and experienced researchers alike."
    Philip L. Smith, Journal of Mathematical Psychology

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    Product details

    • Date Published: February 2017
    • format: Hardback
    • isbn: 9781107029088
    • length: 626 pages
    • dimensions: 254 x 181 x 30 mm
    • weight: 1.36kg
    • contains: 102 b/w illus. 9 tables
    • availability: In stock
  • Table of Contents

    1. Selected concepts from probability Hans Colonius
    2. Probability, random variables, and selectivity Ehtibar N. Dzhafarov and Janne V. Kujala
    3. Functional equations Che Tat Ng
    4. Knowledge spaces and learning spaces Jean-Paul Doignon and Jean-Claude Falmagne
    5. Network analysis John P. Boyd and William H. Batchelder
    6. Evolutionary game theory J. McKenzie Alexander
    7. Choice, preference, and utility: probabilistic and deterministic representations Anthony A. J. Marley and Michel Regenwetter
    8. Discrete state models of cognition William H. Batchelder
    9. Bayesian hierarchical models Jeffrey N. Rouder, Richard D. Morey and Michael S. Pratte
    10. Model evaluation and selection Jay Myung, Daniel R. Cavagnaro and Mark A. Pitt.

  • Editors

    William H. Batchelder, University of California, Irvine
    William H. Batchelder is Professor of Cognitive Sciences at the University of California, Irvine.

    Hans Colonius, Carl V. Ossietzky Universität Oldenburg, Germany
    Hans Colonius is Professor of Psychology at Oldenburg University, Germany.

    Ehtibar N. Dzhafarov, Purdue University, Indiana
    Ehtibar N. Dzhafarov is Professor of Psychological Sciences at Purdue University.

    Jay Myung, Ohio State University
    Jay Myung is Professor of Psychology at Ohio State University.

    Contributors

    Hans Colonius, Ehtibar N. Dzhafarov, Janne V. Kujala, Che Tat Ng, Jean-Paul Doignon, Jean-Claude Falmagne, John P. Boyd, William H. Batchelder, J. McKenzie Alexander, Anthony A. J. Marley, Michel Regenwetter, Jeffrey N. Rouder, Richard D. Morey, Michael S. Pratte, Jay Myung, Daniel R. Cavagnaro, Mark A. Pitt

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