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North Holland

Families of Curves and the Origins of Partial Differentiation
1st Edition
Volume 93
S.B. Engelsman
English
This book provides a detailed description of the main episodes in the emergence of partial differentiation during the period 1690-1740. It argues that the development of this concept - to a considerable degree of perfection - took place almost exclusively in problems concerning families of curves. Thus, the book shows the origins of the ideas and techniques which paved the way for the sudden introduction of partial differential equations in 1750. The main methodological characteristic of the book is its emphasis on a full understanding of the motives, problems and goals of the mathematicians of that time.
Progress in Low Temperature Physics
1st Edition
Volume 8
English
Summability Through Functional Analysis
1st Edition
Volume 85
A. Wilansky
English
Summability is an extremely fruitful area for the application of functional analysis; this volume could be used as a source for such applications. Those parts of summability which only have ``hard'' (classical) proofs are omitted; the theorems given all have ``soft'' (functional analytic) proofs.
Analytic Sets in Locally Convex Spaces
1st Edition
Volume 89
P. Mazet
English
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.
Unification of Finite Element Methods
1st Edition
Volume 94
H. Kardestuncer
English
Animal Cognition and Behavior
1st Edition
Volume 13
R.L. Mellgren
English
Contributed chapters by psychologists and behavioral biologists provide a broad coverage of animal behavior, and governing brain processes. Topics covered include: foraging behavior and strategies, economics and psychology, memory of events and space, time perception, expectancies, food preferences and diet selection, behavior variability and the concept of mind.The volume is designed to satisfy an intderdisciplinary audience, embracing the behavioristic tradition, biological and physiological approaches, and evolutionary theory as philosophical underpinnings to the chapters. Also achieved in this work is a good balance between empirical results and theory.
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.
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.

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