New Handbook of Mathematical Psychology: Volume 3, Perceptual and Cognitive Processes

Explores how foundational mathematical ideas can be employed in the understanding of a variety of psychological phenomena.

F. Gregory Ashby (Edited by), Hans Colonius (Edited by), Ehtibar N. Dzhafarov (Edited by)

9781108830676, Cambridge University Press

Hardback, published 27 April 2023

600 pages
25 x 17.7 x 3.2 cm, 1.03 kg

'This is the third volume of the New Handbook of Mathematical Psychology. Here, the editors, leaders in their fields, focus on 'Perceptual and Cognitive Processes'. Mathematical psychology has come a long way since its inception in the 1950s. This volume signifies its evolution into a vital linchpin of modern scientific psychology.' James T. Townsend, Distinguished Professor and Rudy Professor of Psychological and Brain Sciences, Emeritus, Indiana University

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 both in traditional psychological domains and in the applications of the computational sciences to psychology. Upholding the rigor of the original Handbook, 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. The third volume provides up-to-date, foundational chapters on early vision, psychophysics and scaling, multisensory integration, learning and memory, cognitive control, approximate Bayesian computation, and encoding models in neuroimaging.

List of figures
List of tables
List of contributors
Preface: mathematical psychology in a quest for conceptual clarity
1. Principles and consequences of the initial visual en-coding Brian Wandell and David Brainard
2. Measuring multisensory integration in selected paradigms Adele Diederich and Hans Colonius
3. Fechnerian scaling: dissimilarity cumulation theory Ehtibar N. Dzhafarov and Hans Colonius
4. Mathematical models of human learning F. Gregory Ashby, Matthew J. Crossley, and Jeffrey B. Inglis
5. Formal models of memory based on temporally-varying representations Marc W. Howard
6. Statistical decision theory F. Gregory Ashby and Michael J. Wenger
7. Modeling response inhibition in the stop signal task Hans Colonius and Adele Diederich
8. Approximate bayesian computation Noah Thomas, Brandon M. Turner and Trisha Van Zandt
9. Cognitive diagnosis models Jimmy de la Torre and Miguel A. Sorrel
10. Encoding models in neuroimaging Fabián A. Soto and F. Gregory Ashby
Index.

Subject Areas: Mathematical modelling [PBWH], Psychology [JM]