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North Holland

Minimal Flows and Their Extensions
1st Edition
Volume 153
J. Auslander
English
This monograph presents developments in the abstract theory of topological dynamics, concentrating on the internal structure of minimal flows (actions of groups on compact Hausdorff spaces for which every orbit is dense) and their homomorphisms (continuous equivariant maps).Various classes of minimal flows (equicontinuous, distal, point distal) are intensively studied, and a general structure theorem is obtained. Another theme is the ``universal'' approach - entire classes of minimal flows are studied, rather than flows in isolation. This leads to the consideration of disjointness of flows, which is a kind of independence condition. Among the topics unique to this book are a proof of the Ellis ``joint continuity theorem'', a characterization of the equicontinuous structure relation, and the aforementioned structure theorem for minimal flows.
Two-Hundred-Year Impact of Rare Earths on Science
1st Edition
Volume 11
English
A History of Psychology in Metascientific Perspective
1st Edition
Volume 53
K.B. Madsen
English
Two fields of interest are combined in this volume: the history of science and the theory, or philosophy, of science (metascience). The result is a history of psychology with emphasis placed upon a metascientific analysis of the work of fourteen psychologists from various periods.Each analysis is set in historical context; a period or school is discussed in each chapter, together with a metascientific analysis of some major works from the respective period or school. The author employs a metascientific descriptive system or `systematology' developed during more than 30 years of work on comparative, metascientific studies of about 50 psychological theories. The results of those studies have been published in previous works.These analyses are also used here for verifying T.S. Kuhn's much-debated theory about the `revolutionary' development of sciences. The author revises Kuhn's theory and shows that it can be applied to the history of psychology. Thus, in a Kuhnian sense, psychology may be said to have had two `normal periods' and two `periods of crisis' leading to school formation.
Mathematical Physics
1st Edition
Volume 152
R. Carroll
English
An introduction to the important areas of mathematical physics, this volume starts with basic ideas and proceeds (sometimes rapidly) to a more sophisticated level, often to the context of current research.All of the necessary functional analysis and differential geometry is included, along with basic calculus of variations and partial differential equations (linear and nonlinear). An introduction to classical and quantum mechanics is given with topics in Feynman integrals, gauge fields, geometric quantization, attractors for PDE, Ginzburg-Landau Equations in superconductivity, Navier-Stokes equations, soliton theory, inverse problems and ill-posed problems, scattering theory, convex analysis, variational inequalities, nonlinear semigroups, etc. Contents: 1. Classical Ideas and Problems. Introduction. Some Preliminary Variational Ideas. Various Differential Equations and Their Origins. Linear Second Order PDE. Further Topics in the Calculus of Variations. Spectral Theory for Ordinary Differential Operators, Transmutation, and Inverse Problems. Introduction to Classical Mechanics. Introduction to Quantum Mechanics. Weak Problems in PDE. Some Nonlinear PDE. Ill-Posed Problems and Regularization. 2. Scattering Theory and Solitons. Introduction. Scattering Theory I (Operator Theory). Scattering Theory II (3-D). Scattering Theory III (A Medley of Themes). Scattering Theory IV (Spectral Methods in 3-D). Systems and Half Line Problems. Relations between Potentials and Spectral Data. Introduction to Soliton Theory. Solitons via AKNS Systems. Soliton Theory (Hamiltonian Structure). Some Topics in Integrable Systems. 3. Some Nonlinear Analysis: Some Geometric Formalism. Introduction. Nonlinear Analysis. Monotone Operators. Topological Methods. Convex Analysis. Nonlinear Semigroups and Monotone Sets. Variational Inequalities. Quantum Field Theory. Gauge Fields (Physics). Gauge Fields (Mathematics) and Geometric Quantization. Appendices: Introduction to Linear Functional Analysis. Selected Topics in Functional Analysis. Introduction to Differential Geometry. References. Index.
Vision in Vehicles II
1st Edition
M.H. Freeman + 4 more
English
An integrated approach to the problems of vision and vehicle control is presented in this volume.Current work on all aspects of vision and its relationship to vehicle design is reported on, including the internal and external design of vehicles, visual displays, and the perceptual and cognitive capabilities of the controller of the vehicle. Environmental influences, the effects of alcohol, and visual standards are among the topics discussed. All types of vehicles (including ships and combat aircraft) are considered, though the majority of papers deal with automobiles and their drivers.
Progress in Optics
1st Edition
Volume 25
English
This volume is a jubilee issue and contains some specially designed computer generated holograms for this occasion, together with a description of how to obtain the holographic effect.
Progress in Optics
1st Edition
Volume 26
English
Progress in Reversal Theory
1st Edition
Volume 51
M.J. Apter + 2 more
English
Reversal Theory is a new general theory of motivation, emotion, personality, psychopathology and stress which challenges previous ideas in these fields and sets up an unusually broad and integrative conceptual framework of its own. The papers in the six sections which make up this volume are concerned with: - developing the theory itself - looking at different research areas, or psychological problems, from the perspective of reversal theory - describing empirical studies of different kinds aimed at testing ideas drawn from the theory.
Problems in Distributions and Partial Differential Equations
1st Edition
Volume 143
C. Zuily
English
The aim of this book is to provide a comprehensive introduction to the theory of distributions, by the use of solved problems. Although written for mathematicians, it can also be used by a wider audience, including engineers and physicists.The first six chapters deal with the classical theory, with special emphasis on the concrete aspects. The reader will find many examples of distributions and learn how to work with them. At the beginning of each chapter the relevant theoretical material is briefly recalled. The last chapter is a short introduction to a very wide and important field in analysis which can be considered as the most natural application of distributions, namely the theory of partial differential equations. It includes exercises on the classical differential operators and on fundamental solutions, hypoellipticity, analytic hypoellipticity, Sobolev spaces, local solvability, the Cauchy problem, etc.
Planar Graphs
Theory and Algorithms
1st Edition
Volume 32
T. Nishizeki + 1 more
English
Collected in this volume are most of the important theorems and algorithms currently known for planar graphs, together with constructive proofs for the theorems. Many of the algorithms are written in Pidgin PASCAL, and are the best-known ones; the complexities are linear or 0(nlogn). The first two chapters provide the foundations of graph theoretic notions and algorithmic techniques. The remaining chapters discuss the topics of planarity testing, embedding, drawing, vertex- or edge-coloring, maximum independence set, subgraph listing, planar separator theorem, Hamiltonian cycles, and single- or multicommodity flows. Suitable for a course on algorithms, graph theory, or planar graphs, the volume will also be useful for computer scientists and graph theorists at the research level. An extensive reference section is included.

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