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 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.

Decision theory is a uniquely interdisciplinary field of study with contributions from economics, statistics, mathematics, philosophy, operations research, and psychology. The 1970s had seen important changes in research on behavioral decision theory in terms of a shift from a reliance on economic and statistical models to an emphasis on concepts drawn from cognitive psychology. Originally published in 1980, Cognitive Processes in Choice and Decision Behavior contains papers that explore the reasons why these changes had come about and discuss the future directions to which they pointed. It was clear at the time that research in behavioral decision theory was changing dramatically. The chapters in this book represent a good assessment of the reasons the changes were coming about and some of the merits and problems of the directions in which it was moving. Today it can be read in its historical context.

Originally published in 1978, Volume 6 concludes the survey of research and theory on learning and cognitive processes that was envisaged when the plan for this Handbook was sketched. The primary orientation in the planning the Handbook was to concentrate on research and models aimed toward the development of general cognitive theory. The first five chapters of this volume are organized in relation to one of the research areas that had expanded most vigorously during the period of planning and writing of the Handbook. These chapters treat aspects of psycholinguistics most closely related to research and theory covered in the other volumes. Perhaps the most fertile source of new concepts and models closely related to other branches of cognitive theory has been research on semantic memory. This work is given a critical review and interpretation by Smith in the first chapter of this volume, following which some lines of theoretical developmental leading "upward" into problems of comprehension of meaningful material are reviewed by Kintsch, then connections "downward" into more elementary problems of coding in memory by Johnson. Also, Johnson’s chapter shades into the very active current body of work on perceptual and memorial processes in reading, carried further by Baron’s examination of perceptual learning in relation to letter and word recognition. Finally, we consider inputs to the psycholinguistic system via speech and speech perception. The strong emphasis of Pisoni’s chapter on speech perception rather than production simply reflects both the predominance of research on perceptual aspects of speech in the current cognitive literature and the close relationships of this research to other lines of investigation of perception and short-term memory. Some knowledge of the history of the subject and some understanding of the way some of the more persuasive concepts and principles have evolved may serve present-day investigators better than boosting their reading rates. The final chapter of the present volume provides some documentation for this last suggestion.

This Oxford Handbook offers a comprehensive and authoritative review of important developments in computational and mathematical psychology. With chapters written by leading scientists across a variety of subdisciplines, it examines the field's influence on related research areas such as cognitive psychology, developmental psychology, clinical psychology, and neuroscience. The Handbook emphasizes examples and applications of the latest research, and will appeal to readers possessing various levels of modeling experience. The Oxford Handbook of Computational and mathematical Psychology covers the key developments in elementary cognitive mechanisms (signal detection, information processing, reinforcement learning), basic cognitive skills (perceptual judgment, categorization, episodic memory), higher-level cognition (Bayesian cognition, decision making, semantic memory, shape perception), modeling tools (Bayesian estimation and other new model comparison methods), and emerging new directions in computation and mathematical psychology (neurocognitive modeling, applications to clinical psychology, quantum cognition). The Handbook would make an ideal graduate-level textbook for courses in computational and mathematical psychology. Readers ranging from advanced undergraduates to experienced faculty members and researchers in virtually any area of psychology--including cognitive science and related social and behavioral sciences such as consumer behavior and communication--will find the text useful.

Originally published in 1978 Volume 5 of this Handbook reflects a single theoretical orientation, that characterized by the term human information processing in the literature at the time, but which ranges over a very broad spectrum of cognitive activities. The first two chapters give some overall picture of the background, goals, method, and limitations of the information-processing approach. The remaining chapters treat in detail some principal areas of application – visual processing, mental chronometry, representation of spatial information in memory, problem solving, and the theory of instruction. The first three volumes of the Handbook presented an overview of the field, followed by treatments of conditioning, behavior theory, and human learning and retention. With the fourth volume, the focus of attention shifted from the domain of learning theory to that of cognitive psychology.

Is it possible at present to identify a core cluster of theoretical ideas, concepts, and methods with which everyone working in the area of learning and cognition needs to be familiar? Would it be possible to make explicit the relationships that we feel do or must exist among the various subspecialties, ranging from conditioning through perceptual learning and memory to psycholinguistics, and to present these in a sufficiently organized way to help specialists and non-specialists alike in relating particular lines of research to the broader spectrum of activity? These questions were posed to a substantial number of investigators who were most active in developing the ideas and doing the research in the early 1970s. Originally published between 1975 and 1978, their response constitutes this 6-volume Handbook of Learning and Cognitive Processes. The volumes survey the research and theory on learning and cognitive processes that were rapidly developing at the time. The primary orientation was to concentrate on research and models aimed toward the development of general cognitive theory. They were up-to-date with regard to theoretical and technical developments, and sufficiently self-contained to be readable by anyone with a reasonable scientific background, regardless of their acquaintance with the technical jargon of particular specialties. Previously out of print, the Handbook is now available again, as a set or as individual volumes.