"Implicit cognition" refers to the learning, memory, and performance processes which take place without the subject's conscious awareness. A well known example is patients under anesthesia who show some retention of the surgeons' conversations though they cannot verbally recall it. Yet researchers disagree widely over the importance, and even the existence, of implicit cognition as an issue in human psychology. This book brings together several internationally known authors with conflicting views on the subject, providing a lively and informative overview of this fascinating area.

This book provides an up-to-date overview by leading international aut horities on normal and pathological infant visual development, spannin g the disciplines of neuroscience, psychology, ophthalmology, optometr y, and pediatrics. Topics include the development of retinal receptors; infant sensitivity to detail, color, contrast, and movement; binocul arity, eye movements, and refraction; and cognitive processing. The bo ok also covers children's visual defects such as amblyopia and catarac ts.

Perfect for students approaching the subject for the first time, this book offers a superb overview of number theory. Now in its second edition, it has been thoroughly updated to feature up-to-the-minute treatments of key research, such as the most recent work on Fermat's coast theorem. Topics include divisibility and multiplicative functions, congruences and quadratic resolves, the basics of algebraic numbers and sums of squares, continued fractions, diophantine approximations and transcendence, quadratic forms, partitions, the prime numbers, diophantine equations, and elliptic curves. More...

This invaluable reference is the first to present the general theory of algebras of operators on a Hilbert space, and the modules over such algebras. The new theory of operator spaces is presented early on and the text assembles the basic concepts, theory and methodologies needed to equip a beginning researcher in this area. A major trend in modern mathematics, inspired largely by physics, is toward noncommutative' or quantized' phenomena. In functional analysis, this has appeared notably under the name of operator spaces', which is a variant of Banach spaces which is particularly appropriate...

Professor Atiyah is one of the greatest living mathematicians and is well known throughout the mathematical world. He is a recipient of the Fields Medal, the mathematical equivalent of the Nobel Prize, and is still at the peak of his career. His huge number of published papers, focusing on the areas of algebraic geometry and topology, have here been collected into six volumes, divided thematically for easy reference by individuals interested in a particular subject.
This sixth volume in Michael Atiyah's collected works contains a selection of his publications since 1987, including his work...

This is the first book to offer a complete account of the theory of simplicial decompositions of graphs, possibly the single most important tool in infinite graph theory. The text is centered on a number of guiding problems and concepts such as the existence and uniqueness problem of simplicial decompositions into primes, and the concept of excluded minors as a means of identifying a desired structure. Following theoretical developments since the 1930s, the author includes extensive information on the current state of research, as well as many examples, proof strategies, exercises, and...

"This classic text and reference introduces probability theory for both advanced undergraduate students of statistics and scientists in related fields, drawing on real applications in the physical and biological sciences. "The book makes probability exciting." --Journal of the American Statistical Association

Here is a wide-ranging, comprehensive account of the mathematical formulation of problems involving free boundaries as they occur in such diverse areas as hydrology, metallurgy, chemical engineering, soil science, molecular biology, materials science, and steel and glass production. Many new methods of solution are discussed, including modern computer techniques which address multidimensional, multiphase practical problems.

This unique volume provides a valuable overview on the current state of work in the rapidly developing field of reaction-diffusion equations. Some of the articles survey particular applications such as in combustion theory, electrochemistry, and neurobiology. Other papers focus on the analytic behavior of reaction-diffusion equations such as blow-up, the formation of patterns, travelling wave solutions, and the Conley index. The contributors are internationally respected experts in their respective fields.

The study of finite simple groups has seen considerable progress since their classification and much more is now known about the internal structure of the sporadic groups. Brauer trees present a means of computing certain important properties of these groups and their calculation typically relies upon large-scale computations. This volume collects together for the first time the Brauer trees of the sporadic simple groups and their covering groups, as far as they are known. The authors first describe the construction of Brauer trees and the principal methods for their computation. The rest of...