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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.
The mental representations of perceptual and cognitive stimuli vary on many dimensions. In addition, because of quantal fluctuations in the stimulus, spontaneous neural activity, and fluctuations in arousal and attentiveness, mental events are characterized by an inherent variability. During the last several years, a number of models and theories have been developed that explicitly assume the appropriate mental representation is both multidimensional and probabilistic. This new approach has the potential to revolutionize the study of perception and cognition in the same way that signal detection theory revolutionized the study of psychophysics. This unique volume is the first to critically survey this important new area of research.
Emotional Cognition gives the reader an up to date overview of the current state of emotion and cognition research that is striving for computationally explicit accounts of the relationship between these two domains. Many different areas are covered by some of the leading theorists and researchers in this area and the book crosses a range of domains, from the neurosciences through cognition and formal models to philosophy. Specific chapters consider, amongst other things, the role of emotion in decision-making, the representation and evaluation of emotive events, the relationship of affect on working memory and goal regulation. The emergence of such an integrative, computational, approach in emotion and cognition research is a unique and exciting development, one that will be of interest to established scholars as much as graduate students feeling their way in this area, and applicable to research in applied as well as purely theoretical domains. (Series B)
The mental representations of perceptual and cognitive stimuli vary on many dimensions. In addition, because of quantal fluctuations in the stimulus, spontaneous neural activity, and fluctuations in arousal and attentiveness, mental events are characterized by an inherent variability. During the last several years, a number of models and theories have been developed that explicitly assume the appropriate mental representation is both multidimensional and probabilistic. This new approach has the potential to revolutionize the study of perception and cognition in the same way that signal detection theory revolutionized the study of psychophysics. This unique volume is the first to critically survey this important new area of research.
Handbook of Categorization in Cognitive Science, Second Edition presents the study of categories and the process of categorization as viewed through the lens of the founding disciplines of the cognitive sciences, and how the study of categorization has long been at the core of each of these disciplines. The literature on categorization reveals there is a plethora of definitions, theories, models and methods to apprehend this central object of study. The contributions in this handbook reflect this diversity. For example, the notion of category is not uniform across these contributions, and there are multiple definitions of the notion of concept. Furthermore, the study of category and categori...
Measurement, Judgment, and Decision Making provides an excellent introduction to measurement, which is one of the most basic issues of the science of psychology and the key to science. Written by leading researchers, the book covers measurement, psychophysical scaling, multidimensional scaling, stimulus categorization, and behavioral decision making. Each chapter provides a useful handbook summary and unlocks the door for a scholar who desires entry to that field. Any psychologist who manipulates an independent variable that affects a psychological construct or who uses a numerical dependent variable to measure a psychological construct will want to study this book. Written by leading researchers in fields of measurement, psychophysical scaling, multidimensional scaling, stimulus categorization, and behavioral decision making Provides basic definitions and summaries of theories Presents summaries and citations to relevant literature Contains new developments, current controversies, and open questions Explains relationships among fields and historical links