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North Holland

New Generalized Functions and Multiplication of Distributions
1st Edition
Volume 84
J.F. Colombeau
English
This volume presents a new mathematical theory of generalized functions, more general than Distribution Theory, giving a rigorous mathematical sense to any product of a finite number of distributions and to heuristic computations of Quantum Field Theory. Although the physical motivations are emphasized, the book is also addressed to mathematicians with no knowledge of physics. This work opens a new domain of research in both pure and applied mathematics.
Minimal Surfaces of Codimension One
1st Edition
Volume 91
U. Massari + 1 more
English
This book gives a unified presentation of different mathematical tools used to solve classical problems like Plateau's problem, Bernstein's problem, Dirichlet's problem for the Minimal Surface Equation and the Capillary problem.The fundamental idea is a quite elementary geometrical definition of codimension one surfaces. The isoperimetric property of the Euclidean balls, together with the modern theory of partial differential equations are used to solve the 19th Hilbert problem. Also included is a modern mathematical treatment of capillary problems.
Augmented Lagrangian Methods
Applications to the Numerical Solution of Boundary-Value Problems
1st Edition
Volume 15
M. Fortin + 1 more
English
The purpose of this volume is to present the principles of the Augmented Lagrangian Method, together with numerous applications of this method to the numerical solution of boundary-value problems for partial differential equations or inequalities arising in Mathematical Physics, in the Mechanics of Continuous Media and in the Engineering Sciences.
A Theory of Cognitive Aging
1st Edition
Volume 28
T. Salthouse
English
Over a half-century of research has documented the fact that people of different ages perform at different levels on a variety of tests of cognitive functioning, and yet there are still no comprehensive theories to account for these phenomena. A Theory of Cognitive Aging is intended to begin intellectual discussion in this area by identifying major issues of controversy, and proposing a particular theoretical interpretation based on the notion that the rate of processing information slows down with increased age. Although still quite preliminary, the theoretical perspective is demonstrated to provide a plausible account for age-related differences in functioning on measures of memory, spatial ability and reasoning. The book has four aims: - To advocate a more explicitly theoretical approach to research in the area of cognitive aging. - To outline three important dimensions along which it is argued that any theory of cognitive aging phenomena must take a position. - To evaluate empirical evidence relevant to specific positions along those dimensions. - To summarize the major concepts of the current theory, and to describe its application to selected findings in the research literature.
Coalition Formation
1st Edition
Volume 24
H.A.M. Wilke
English
A comprehensive view of coalition formation is presented here. Each of the chapters gives a summary of theories and research findings in a specific field of interest, at various levels of human and primate organisation.
Modern Issues in Perception
1st Edition
Volume 11
E.A. Geissler
English
The book deals with two focal issues: 1. The structural rules according to which information is organized in perception (Part I). 2. The rules on how pieces of information are integrated and transformed into judgements (Part II).Included in Part I are theories on neural mechanisms and models linking perception and memory. Part II refers to simple physical and complex semantic dimensions. Antecedents in animal behaviour are explored too. The book is intended for a broad readership; it should stimulate research which will link topics that have been traditionally separated.Features of the book are: - a synopsis of discrete, structural and quantitative aspects of perception linking perception with higher cognition and memory. - an overview on new approaches and findings from East and West on perceptual organization and rules inherent to judgement. - the chapters are strongly interconnected and didactical in tone. Introductions are designed to increase readability of the work.
Discrete Optimization I
1st Edition
Volume 4
English
Progress in Optics
1st Edition
Volume 40
English
The publication of volume forty of Progress in Optics marks a significant milestone. Volume one was published in 1961, a year after the invention of the laser, an event which triggered a wealth of new and exciting developments. Many of them have been reported in the 234 review articles published in this series since its inception.The present volume contains six review articles on a variety of subjects of current research interests. The first is concerned with polarimetric optical fibers and sensors, and reviews the main efforts and achievements in this field within the last two decades.The second article presents a review of recent researches on digital optical computing. After introducing the basic concepts needed for understanding the developments in this field, some feasibility experiments as well as software studies are discussed.
Lie Algebras: Theory and Algorithms
1st Edition
Volume 56
W.A. de Graaf
English
The aim of the present work is two-fold. Firstly it aims at a giving an account of many existing algorithms for calculating with finite-dimensional Lie algebras. Secondly, the book provides an introduction into the theory of finite-dimensional Lie algebras. These two subject areas are intimately related. First of all, the algorithmic perspective often invites a different approach to the theoretical material than the one taken in various other monographs (e.g., [42], [48], [77], [86]). Indeed, on various occasions the knowledge of certain algorithms allows us to obtain a straightforward proof of theoretical results (we mention the proof of the Poincaré-Birkhoff-Wi... theorem and the proof of Iwasawa's theorem as examples). Also proofs that contain algorithmic constructions are explicitly formulated as algorithms (an example is the isomorphism theorem for semisimple Lie algebras that constructs an isomorphism in case it exists). Secondly, the algorithms can be used to arrive at a better understanding of the theory. Performing the algorithms in concrete examples, calculating with the concepts involved, really brings the theory of life.
Applications of Statistical Physics
1st Edition
A. Gadomski + 3 more
English
The field of statistical physics has undergone a spectacular development in recent years. The fundamentals of the subject have advanced dynamically with multidisciplinary approaches involving physicists, chemists and mathematicians. Equally spectacular has been the development of applications of statistical mechanics to shed light on a wide range of problems, many of them arising in fields quite distant from traditional physics disciplines. Recent applications range from such topics as oil recovery from porous rock to protein folding, DNA structure, morphogenesis and the cooperative behavior of living creatures. Concepts and methods of statistical physics have been applied successfully to "exotic" problems that seem to be far from physics, such as vehicular and pedestrial traffic, or economy and finance. This book presents not only the keynote invited talks, but a number of high quality, interesting, contributed communications from senior scientists and young students active in the field. Topics covered include DNA migration, wetting, chemical waves, granular media, molecular motors, biological pattern formation and motion, as well as practical problems such as heart diagnosis, internet traffic jamming, oil recovery and econophysics.

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