The Fifth Edition of one of the standard works on number theory, written by internationally-recognized mathematicians. Chapters are relatively self-contained for greater flexibility. New features include expanded treatment of the binomial theorem, techniques of numerical calculation and a section on public key cryptography. Contains an outstanding set of problems.

Scientists' understanding of two central problems in neuroscience, psychology, and philosophy has been greatly influenced by the work of David Hubel and Torsten Wiesel: (1) What is it to see? This relates to the machinery that underlies visual perception. (2) How do we acquire the brain's mechanisms for vision? This is the nature-nurture question as to whether the nerve connections responsible for vision are innate or whether they develop through experience in the early life of an animal or human. This is a book about the collaboration between Hubel and Wiesel, which began in 1958, lasted until about 1982, and led to a Nobel Prize in 1981. It opens with short autobiographies of both men, describes the state of the field when they started, and tells about the beginnings of their collaboration. It emphasizes the importance of various mentors in their lives, especially Stephen W. Kuffler, who opened up the field by studying the cat retina in 1950, and founded the department of neurobiology at Harvard Medical School, where most of their work was done. The main part of the book consists of Hubel and Wiesel's most important publications. Each reprinted paper is preceded by a foreword that tells how they went about the research, what the difficulties and the pleasures were, and whether they felt a paper was important and why. Each is also followed by an afterword describing how the paper was received and what developments have occurred since its publication. The reader learns things that are often absent from typical scientific publications, including whether the work was difficult, fun, personally rewarding, exhilarating, or just plain tedious. The book ends with a summing-up of the authors' view of the present state of the field. This is much more than a collection of reprinted papers. Above all it tells the story of an unusual scientific collaboration that was hugely enjoyable and served to transform an entire branch of neurobiology. It will appeal to neuroscientists, vision scientists, biologists, psychologists, physicists, historians of science, and to their students and trainees, at all levels from high school on, as well as anyone else who is interested in the scientific process.

The six contributions in Connectionist Symbol Processing address the current tension within the artificial intelligence community between advocates of powerful symbolic representations that lack efficient learning procedures and advocates of relatively simple learning procedures that lack the ability to represent complex structures effectively. The authors seek to extend the representational power of connectionist networks without abandoning the automatic learning that makes these networks interesting.Aware of the huge gap that needs to be bridged, the authors intend their contributions to be viewed as exploratory steps in the direction of greater representational power for neural networks. If successful, this research could make it possible to combine robust general purpose learning procedures and inherent representations of artificial intelligence -- a synthesis that could lead to new insights into both representation and learning.

Recent work in cognitive science, much of it placed in opposition to a computational view of the mind, has argued that the concept of representation and theories based on that concept are not sufficient to explain the details of cognitive processing. These attacks on representation have focused on the importance of context sensitivity in cognitive processing, on the range of individual differences in performance, and on the relationship between minds and the bodies and environments in which they exist. In each case, models based on traditional assumptions about representation have been assumed to be too rigid to account for the effects of these factors on cognitive processing. In place of a representational view of mind, other formalisms and methodologies, such as nonlinear differential equations (or dynamical systems) and situated robotics, have been proposed as better explanatory tools for understanding cognition. This book is based on the notion that, while new tools and approaches for understanding cognition are valuable, representational approaches do not need to be abandoned in the course of constructing new models and explanations. Rather, models that incorporate representation are quite compatible with the kinds of complex situations being modeled with the new methods. This volume illustrates the power of this explicitly representational approach--labeled "cognitive dynamics"--in original essays by prominent researchers in cognitive science. Each chapter explores some aspect of the dynamics of cognitive processing while still retaining representations as the centerpiece of the explanations of the key phenomena. These chapters serve as an existence proof that representation is not incompatible with the dynamics of cognitive processing. The book is divided into sections on foundational issues about the use of representation in cognitive science, the dynamics of low level cognitive processes (such as visual and auditory perception and simple lexical priming), and the dynamics of higher cognitive processes (including categorization, analogy, and decision making).

This systematic investigation of computation and mental phenomena by a noted psychologist and computer scientist argues that cognition is a form of computation, that the semantic contents of mental states are encoded in the same general way as computer representations are encoded. It is a rich and sustained investigation of the assumptions underlying the directions cognitive science research is taking.

Elements of Episodic Memory was a seminal text in the memory literature, highly cited and influential. It has been unavailable for some years, but is now back in print as in its original form, with this reissue. The book examines the critical role that retrieval processes play in remembering. It proposes that the nature of recollective experience is determined by the interaction between the 'episodic' trace information and the 'semantic' retrieval information. This basic theme is elaborated by tracing the development of the ideas considering relevant empirical evidence, relating a proposed theoretical framework to the ideas held by other theorists, and dealing with criticisms advanced by others. These issues are discussed from two perspectives. Firstly, from the point of view of 'detached science': the emphasis here is on ideas, hypotheses, evidence, logic and theory. The second is a personal commentary on the development of ideas at the first viewpoint, and provides observations about the psychology and sociology of a developing science.

Written by the world's leading memory scientists in a highly accessible language, this volume brings together facts and theories of cognitive psychology; memory development in childhood and old age; memory impairment in brain injury and disease; the emergence of memory functions from the brain; as well as reviews of current behavioral, neuroimaging, and computer simulation theories of memory. The last decades in particular have seen the emergence of a genuine science of memory, based first on behavioral studies and more recently on the new technologies of brain scanning. These recent studies have resulted in theories that are rich, complex, and far-reaching in their implications. "The Oxford Handbook of Memory" lays out these theories, and the evidence on which the theories are based. The important new discoveries of the last few years are described, along with their consequences for professionals in the areas of law, engineering, and clinical medicine. Endel Tulving and Fergus Craik, two world-class experts on memory, provide this handbook as a guide to the dynamic and exciting field of memory research. Individual chapters are written by eminent researchers, who provide insight into their special areas, and outline challenges for the work that lies ahead. The book is exhaustive in its coverage - examining such topics as the development of memory, the contents of memory, memory in the laboratory and in everyday use, memory in decline, the organization of memory, and theories of memory-making this book ideal for psychologists, memory researchers, neuroscientists, and graduate students of psychology.

These collected essays from leading figures in cognitive psychology represent the latest research and thinking in the field. The volume is organized around four "Endelian" themes: encoding and retrieval processes in memory; the neuropsychology of memory; classificatory systems for memory; and consciousness, emotion, and memory.

In the past 25 years, the frontal lobes have dominated human neuroscience research. Functional neuroimaging studies have revealed their importance to brain networks involved in nearly every aspect of mental and cognitive functioning. Studies of patients with focal brain lesions have expanded on early case study evidence of behavioral, emotional, and cognitive changes associated with frontal lobe brain damage. The role of frontal lobe function and dysfunction in human development (in both children and older adults), psychiatric disorders, the dementias, and other brain diseases has also received rapidly increasing attention. In this useful text, 14 leading frontal lobe researchers review and synthesize the current state of knowledge on frontal lobe function, including structural and functional brain imaging, brain network analysis, aging and dementia, traumatic brain injury, rehabilitation, attention, memory, and consciousness. The book therefore provides a state-of-the-art account of research in this exciting area, and also highlights a number of new findings by some of the world's top researchers.

Since its publication in 1949, D.O. Hebb's, The Organization of Behavior has been one of the most influential books in the fields of psychology and neuroscience. However, the original edition has been unavailable since 1966, ensuring that Hebb's comment that a classic normally means "cited but not read" is true in his case. This new edition rectifies a long-standing problem for behavioral neuroscientists--the inability to obtain one of the most cited publications in the field.
The Organization of Behavior played a significant part in stimulating the investigation of the neural foundations of behavior and continues to be inspiring because it provides a general framework for relating behavior to synaptic organization through the dynamics of neural networks.
D.O. Hebb was also the first to examine the mechanisms by which environment and experience can influence brain structure and function, and his ideas formed the basis for work on enriched environments as stimulants for behavioral development.
References to Hebb, the Hebbian cell assembly, the Hebb synapse, and the Hebb rule increase each year. These forceful ideas of 1949 are now applied in engineering, robotics, and computer science, as well as neurophysiology, neuroscience, and psychology--a tribute to Hebb's foresight in developing a foundational neuropsychological theory of the organization of behavior.

From one of the leading researchers in the field of human memory comes the new edition of a truly integrative perspective on learning and memory! Rather than forge a simple synthesis, Anderson integrates learning research on animals and memory research on humans without distorting the character of either one. The result is a more complete picture of learning, including material on skill acquisition, inductive learning, and applications to education.

This book achieves a goal that was set 25 years ago when the HAM theory of human memory was published. This theory reflected one of a number of then-current efforts to create a theory of human cognition that met the twin goals of precision and complexity. Up until then the standard for precision had been the mathematical theories of the 1950s and 1960s. These theories took the form of precise models of specific experiments along with some informal, verbally-stated understanding of how they could be extended to new experiments. They seemed to fall far short of capturing the breadth and power of human cognition that was being demonstrated by the new experimental work in human cognition. The next 10 years saw two major efforts to address the problems of scope. In 1976, the ACT theory was first described and included a production rule system of procedural memory to complement HAM's declarative memory. This provided a computationally adequate system which was indeed capable of accounting for all sorts of cognition. In 1993, a new version of ACT--ACT-R--was published. This was an effort to summarize the theoretical progress made on skill acquisition in the intervening 10 years and to tune the subsymbolic level of ACT-R with the insights of the rational analysis of cognition. Although the appearance of generally-available, full-function code set off a series of events which was hardly planned, it resulted in this book. The catalyst for this was the emergence of a user community. Lebiere insisted that assembling a critical mass of users was essential to the ultimate success of the theory and that a physical gathering was the only way to achieve that goal. This resulted in the First Annual ACT-R Summer School and Workshop, held in 1994. In writing the book, the authors became seized by an aspiration that went beyond just describing the theory correctly. They decided to try to display what the theory could do by collecting together and describing some of its in-house applications. This book reflects decades of work in ACT-R accumulated by many researchers. The chapters are authored by the people that did that particular work. No doubt the reader will be impressed by the scope of the research and the quality of the individual work. Less apparent, but no less important, was the effort that everyone put into achieving the overall consistency and technical integrity of the book. This is the first work in cognitive science to precisely model such a wide range of phenomena with a single theory.

Now available in paper, The Architecture of Cognition is a classic work that remains relevant to theory and research in cognitive science. The new version of Anderson's theory of cognitive architecture -- Adaptive Control of Thought (ACT*) -- is a theory of the basic principles of operation built into the cognitive system and is the main focus of the book.