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

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

Auteur
F. Gregory Ashby is Distinguished Professor Emeritus of Psychological and Brain Sciences at the University of California, Santa Barbara, USA. He is the author of more than 180 publications, including nine articles in Psychological Review and four books. He is past president of the Society for Mathematical Psychology and past chair of the NIH Cognition and Perception Study Section. His awards include the Howard Crosby Warren Medal in 2017. Hans Colonius is Professor of Psychology at Oldenburg University, Germany. He has published 130 papers and two books. He was editor-in-chief of the Journal of Mathematical Psychology and a visiting professor at various universities across Europe and the USA. His awards include a Heisenberg professorship in 1982, and his work has been supported by numerous grants from the German Science Foundation.Ehtibar N. Dzhafarov is Professor of Psychological Sciences at Purdue University, USA. He has published 170 papers in psychology, mathematics, philosophy, and foundations of quantum mechanics; he has also edited six books and three special journal issues. He served as president of the Society for Mathematical Psychology, and he has received a Humboldt Research Award.

Texte du rabat
The New Handbook of Mathematical Psychology provides a rigorous introduction to the key foundational, theoretical, and applied areas of the field of mathematical psychology. Volume 3 focuses on key content areas in perceptual and cognitive processes, and effectively complements the previous volumes by covering recent developments.

Résumé
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.

Contenu
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.