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Progress in Optics

1st Edition
Volume 24
August 1, 1987
English
eBook
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Progress in Optics is a well-established series of volumes of review articles dealing with theoretical and applied optics and related subjects. Widely acclaimed by numerous reviewers as representing an authoritative and up-to-date source of information in all branches of optics, the series continues to fulfil a genuine need within the scientific community. Articles are contributed by leading scientists (including two Nobel Prize winners) chosen by the Editor, with the advice of an international panel of experts constituting the Editorial Advisory Board. Many of the articles appearing in these volumes have since been established as basic references in their respective fields.

Intelligence: Its Structure, Growth and Action

1st Edition
Volume 35
July 1, 1987
R.B. Cattell
English
eBook
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With essentially the same basis as the 1971 Abilities, Their Structure, Growth and Action, this new volume reflects the developments of subsequent years.

Psychobiology and Early Development

1st Edition
Volume 46
June 1, 1987
H. Rauh + 1 more
English
eBook
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This volume is the outcome of an international symposium held in Berlin, FRG, which brought together researchers in the field of infant development.The contributors are from Europe and North America, and have as their primary professional interest either pediatrics, biology or psychology. These fields, in spite of common involvement and large overlap, still have to overcome communication problems and differences in scientific approaches. The emphasis of this book is on the efforts of the participants towards reaching a mutual understanding. In spite of disciplinary diversity, the papers in this book complement each other, and set the scene for future multidisciplinary research and exchange in the field of infant development.

Geometry of Numbers

2nd Edition
Volume 37
May 1, 1987
C.G. Lekkerkerker + 1 more
English
Paperback
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eBook
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This volume contains a fairly complete picture of the geometry of numbers, including relations to other branches of mathematics such as analytic number theory, diophantine approximation, coding and numerical analysis. It deals with convex or non-convex bodies and lattices in euclidean space, etc.This second edition was prepared jointly by P.M. Gruber and the author of the first edition. The authors have retained the existing text (with minor corrections) while adding to each chapter supplementary sections on the more recent developments. While this method may have drawbacks, it has the definite advantage of showing clearly where recent progress has taken place and in what areas interesting results may be expected in the future.

The Algebraic Structure of Crossed Products

1st Edition
Volume 142
May 1, 1987
G. Karpilovsky
English
Paperback
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eBook
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In the past 15 years, the theory of crossed products has enjoyed a period of vigorous development. The foundations have been strengthened and reorganized from new points of view, especially from the viewpoint of graded rings.The purpose of this monograph is to give, in a self-contained manner, an up-to-date account of various aspects of this development, in an effort to convey a comprehensive picture of the current state of the subject. It is assumed that the reader has had the equivalent of a standard first-year graduate course, thus familiarity with basic ring-theoretic and group-theoretic concepts and an understanding of elementary properties of modules, tensor products and fields. A chapter on algebraic preliminaries is included, which briefly surveys topics required later in the book.

Difference Schemes

1st Edition
Volume 19
May 1, 1987
S.K. Godunov + 1 more
English
eBook
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Much applied and theoretical research in natural sciences leads to boundary-value problems stated in terms of differential equations. When solving these problems with computers, the differential problems are replaced approximately by difference schemes.This book is an introduction to the theory of difference schemes, and was written as a textbook for university mathematics and physics departments and for technical universities. Some sections of the book will be of interest to computations specialists.While stressing a mathematically rigorous treatment of model problems, the book also demonstrates the relation between theory and computer experiments, using difference schemes created for practical computations.

Solitons and Instantons

1st Edition
Volume 15
April 1, 1987
R. Rajaraman
English
Paperback
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eBook
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This book offers an elementary and unified introduction to the non-perturbative results obtained in relativistic quantum field theory based on classical soliton and instanton solutions. Such solutions are derived for a variety of models and classified by topological indices. The methods are then developed for quantizing solitons to obtain quantum particles. Vacuum tunneling, &ugr;-vacua and the dilute-instanton-gas approximation are described in detail. Other instanton effects related to quark-quark forces, confinement, the U(1) problem and Borel summability are also discussed. The emphasis is on presenting the basic ideas in a simple pedagogical way. Technical tools like functional methods, Grassman integrals, homotopy classification, collective co-ordinates etc. are developed ab initio.The presentation of this work is kept at a fairly simple level and ideas are developed through illustrative examples. Techniques not covered in older field theory textbooks, such as functional integral methods, are presented in some detail to the necessary extent. These techniques are important in their own right. Although the book is mainly addressed to particle physicists and quantum field theorists, several portions will be of relevance to other branches of physics, particularly statistical mechanics. These include three chapters devoted to deriving classical soliton and instanton solutions and one on collective co-ordinates, as well as sections devoted to general techniques.

The Jacobson Radical of Group Algebras

1st Edition
Volume 135
April 1, 1987
G. Karpilovsky
English
Paperback
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eBook
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Let G be a finite group and let F be a field. It is well known that linear representations of G over F can be interpreted as modules over the group algebra FG. Thus the investigation of ring-theoretic structure of the Jacobson radical J(FG) of FG is of fundamental importance. During the last two decades the subject has been pursued by a number of researchers and many interesting results have been obtained. This volume examines these results.The main body of the theory is presented, giving the central ideas, the basic results and the fundamental methods. It is assumed that the reader has had the equivalent of a standard first-year graduate algebra course, thus familiarity with basic ring-theoretic and group-theoretic concepts and an understanding of elementary properties of modules, tensor products and fields. A chapter on algebraic preliminaries is included, providing a survey of topics needed later in the book. There is a fairly large bibliography of works which are either directly relevant to the text or offer supplementary material of interest.

Foundations of Analysis over Surreal Number Fields

1st Edition
Volume 141
April 1, 1987
N.L. Alling
English
Paperback
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eBook
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In this volume, a tower of surreal number fields is defined, each being a real-closed field having a canonical formal power series structure and many other higher order properties. Formal versions of such theorems as the Implicit Function Theorem hold over such fields. The Main Theorem states that every formal power series in a finite number of variables over a surreal field has a positive radius of hyper-convergence within which it may be evaluated. Analytic functions of several surreal and surcomplex variables can then be defined and studied. Some first results in the one variable case are derived. A primer on Conway's field of surreal numbers is also given.Throughout the manuscript, great efforts have been made to make the volume fairly self-contained. Much exposition is given. Many references are cited. While experts may want to turn quickly to new results, students should be able to find the explanation of many elementary points of interest. On the other hand, many new results are given, and much mathematics is brought to bear on the problems at hand.

History of CERN, I

1st Edition
March 1, 1987
A. Hermann + 4 more
English
Hardback
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eBook
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Describing the history of CERN from its inception in the late 40's up to the mid-60's. The authors have divided these 17-18 years into roughly two successive periods. Volume I deals with the birth and official establishment of the organization and thus covers the years 1949-1954, while Volume II studies the life of the European laboratory during the first twelve years of its existence.

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