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الصفحة 22
الصفحة 22
Atomic spectroscopy : Introduction to the theory of hyperfine structure
Atomic Spectroscopy provides a comprehensive discussion on the general approach to the theory of atomic spectra, based on the use of the Lagrangian canonical formalism. This approach is developed and applied to explain the hydrogenic hyperfine structure associated with the nucleus motion, its finite mass, and spin. The non-relativistic or relativistic, spin or spin-free particle approximations can be used as a starting point of general approach. The special attention is paid to the theory of Lamb shift formation. The formulae for hydrogenic spectrum including the account of Lamb shift are written in simple analytical form. The book is of interest to specialists, graduate and postgraduate students, who are involved into the experimental and theoretical research in the field of modern atomic spectroscopy.
Atmospheric Boundary Layers : Nature, Theory, and Application to Environmental Modelling and Security
This collection of peer reviewed papers represents a concise, up-to-date summary of our current knowledge of planetary boundary layer (PBL) physics and parameterization. As such, it makes a major contribution to the interchange of knowledge and ideas between physicists, meteorologists and environmental modellers and sets out the course to be followed in subsequent research to improve PBL parameterizations in climate, numerical weather prediction, air quality, and emergency preparedness models. Major themes covered are: Nature and theory of turbulent boundary layers, Boundary layer flows - modelling and applications to environmental security, Nature, theory and modelling of boundary-layer flows, and Air flows within and above urban and other complex canopies - air-sea-ice interactions.
Asymptotics for Dissipative Nonlinear Equations
Many of problems of the natural sciences lead to nonlinear partial differential equations. However, only a few of them have succeeded in being solved explicitly. Therefore different methods of qualitative analysis such as the asymptotic methods play a very important role. This is the first book in the world literature giving a systematic development of a general asymptotic theory for nonlinear partial differential equations with dissipation. Many typical well-known equations are considered as examples, such as: nonlinear heat equation, KdVB equation, nonlinear damped wave equation, Landau-Ginzburg equation, Sobolev type equations, systems of equations of Boussinesq, Navier-Stokes and others.
Asymptotic Theory of Statistics and Probability
An encyclopedic treatment of classic as well as contemporary large sample theory, dealing with both statistical problems and probabilistic issues and tools. It is written in an extremely lucid style, with an emphasis on the conceptual discussion of the importance of a problem and the impact and relevance of the theorems. The book has 34 chapters over a wide range of topics, nearly 600 exercises for practice and instruction, and another 300 worked out examples. It also includes a large compendium of 300 useful inequalities on probability, linear algebra, and analysis that are collected together from numerous sources, as an invaluable reference for researchers in statistics, probability, and mathematics.
Asymptotic Analysis and Boundary Layers
Presents a new method of asymptotic analysis of boundary-layer problems, the Successive Complementary Expansion Method (SCEM). The first part is devoted to a general comprehensive presentation of the tools of asymptotic analysis. It gives the keys to understand a boundary-layer problem and explains the methods to construct an approximation. The second part is devoted to SCEM and its applications in fluid mechanics, including external and internal flows. The advantages of SCEM are discussed in comparison with the standard Method of Matched Asymptotic Expansions. In particular, for the first time, the theory of Interactive Boundary Layer is fully justified. With its chapter summaries, detailed derivations of results, discussed examples and fully worked out problems and solutions, the book is self-contained.
Astrophysical disks : Collective and stochastic phenomena
The book deals with collective and stochastic processes in astrophysical discs involving theory, observations, and the results of modelling. Among others, it examines the spiral-vortex structure in galactic and accretion disks , stochastic and ordered structures in the developed turbulence. It also describes sources of turbulence in the accretion disks, internal structure of disk in the vicinity of a black hole, numerical modelling of Be envelopes in binaries, gaseous disks in spiral galaxies with shock waves formation, observation of accretion disks in a binary system and mass distribution of luminous matter in disk galaxies.
Aspects of Brownian motion
Stochastic calculus and excursion theory are very efficient tools to obtain either exact or asymptotic results about Brownian motion and related processes. The emphasis of this book is on special classes of such Brownian functionals as: - Gaussian subspaces of the Gaussian space of Brownian motion; - Brownian quadratic funtionals; - Brownian local times, - Exponential functionals of Brownian motion with drift; - Winding number of one or several Brownian motions around one or several points or a straight line, or curves; - Time spent by Brownian motion below a multiple of its one-sided supremum.
Artinian Modules over Group Rings
This book highlights important developments on artinian modules over group rings of generalized nilpotent groups. Along with traditional topics such as direct decompositions of artinian modules, criteria of complementability for some important modules, and criteria of semisimplicity of artinian modules, it also focuses on recent advanced results on these matters.
Artificial Nutrition and Hydration : The New Catholic Debate
This collection of essays by some of the most prominent Catholic bioethicists addresses the Pope’s statements, the moral issues surrounding artificial feeding and hydration, the refusal of treatment, and the ethics of care for those at the end of life.
Arnheim, Gestalt and Art : A Psychological Theory
The book discovers an unappreciated unity to Arnheim’s thinking. Not content to simply summarize Arnheim’s theory, however, Arnheim, Art, and Gestalt goes on to enrich (and occasionally question) Arnheim’s findings with the contemporary results of gestalt-theoretical research from around the world, but especially in Italy and Germany. The result is a workable overview of the psychology of art with bridges built to contemporary research, making Arnheim’s approach living and sustainable.
Aritmetica, crittografia e codici = Arithmetic, cryptography and codes
The basic techniques of algebra and number theory useful in recent applications to cryptography and codes are developed, with the aim of being elementary and self-sufficient. The emphasis is on computational problems. This part of the volume can be useful as a textbook for a first course in algebra for mathematicians, computer scientists or engineers. Important applications of algebra and geometry to cryptography and codes are then illustrated. Both, cryptography and codes have significant applications in daily life which are illustrated here. Cryptography is developed in detail in much of its classic and current aspects, and both private and public key cryptography are developed. Cryptography with the use of elliptic curves on finite fields is also illustrated. A chapter introducing the subject is dedicated to linear codes.
Aritmetica : Un approccio computazionale = Arithmetic : A computational approach
Intended to be a contribution to the algorithmic re-reading of some classic topics of elementary number theory and an invitation to more demanding reading, according to the indications provided by the bibliography annexed to it.
Arithmetical investigations : Representation theory, orthogonal polynomials, and quantum interpolations
In this volume the author further develops his philosophy of quantum interpolation between the real numbers and the p-adic numbers. The p-adic numbers contain the p-adic integers Zp which are the inverse limit of the finite rings Z/pn. This gives rise to a tree, and probability measures w on Zp correspond to Markov chains on this tree. From the tree structure one obtains special basis for the Hilbert space L2(Zp,w). The real analogue of the p-adic integers is the interval [-1,1], and a probability measure w on it gives rise to a special basis for L2([-1,1],w) - the orthogonal polynomials, and to a Markov chain on "finite approximations" of [-1,1]. For special (gamma and beta) measures there is a "quantum" or "q-analogue" Markov chain, and a special basis, that within certain limits yield the real and the p-adic theories. This idea can be generalized variously. In representation theory, it is the quantum general linear group GLn(q)that interpolates between the p-adic group GLn(Zp), and between its real (and complex) analogue -the orthogonal On (and unitary Un )groups. There is a similar quantum interpolation between the real and p-adic Fourier transform and between the real and p-adic (local unramified part of) Tate thesis, and Weil explicit sums.
Argumentative Indicators in Discourse : A Pragma-Dialectical Study
Argumentative Indicators: A Pragma-Dialectical Study identifies and analyses English words and expressions that are crucial for an adequate reconstruction of argumentative discourse. It provides the analyst of argumentative discussions and texts with a systematic set of instruments for giving a well-founded analysis which results in an analytic overview of the elements that are relevant for the evaluation of the argumentation. In the book a systematic connection is made between linguistic insights into the characteristics of argumentative discourse and insights from argumentation theory into the resolution of differences of opinion by means of argumentation.
Arguing Fundamental Rights
The book is unique in combining a challenging interpretation of one the foremost European conceptions of fundamental rights with the discussion of the pragmatics of constitutional adjudication.
Archaeology at the millennium : A sourcebook
The sourcebook is divided into four substantive sections, each of which is introduced by a summary statement outlining the chapters in the section. Part I deals with the history of archaeology and the advance of archaeological theory. Part II ranges over the first four million years of our evolution as a cultural species and covers the first hominids to complex hunter-gatherers. Part III concerns the origins of agriculture and features discussions of such issues as craft production, the division of labor, warfare, and the rise of social inquality. Part IV analyzes the rise of states and empired in both the Old and New World; the archaeology of the classical Mediterranean states is also included in this section. A final chapter portends the future of archaeology.
Approximation of Additive Convolution-Like Operators : Real C*-Algebra Approach
Various aspects of numerical analysis for equations arising in boundary integral equation methods have been the subject of several books published in the last 15 years [95, 102, 183, 196, 198]. Prominent examples include various classes of o- dimensional singular integral equations or equations related to single and double layer potentials. Usually, a mathematically rigorous foundation and error analysis for the approximate solution of such equations is by no means an easy task. One reason is the fact that boundary integral operators generally are neither integral operatorsof the formidentity plus compact operatornor identity plus an operator with a small norm. Consequently, existing standard theories for the numerical analysis of Fredholm integral equations of the second kind are not applicable. In the last 15 years it became clear that the Banach algebra technique is a powerful tool to analyze the stability problem for relevant approximation methods [102, 103, 183, 189]. The starting point for this approach is the observation that the ? stability problem is an invertibility problem in a certain BanachorC -algebra. As a rule, this algebra is very complicated – and one has to ?nd relevant subalgebras to use such tools as local principles and representation theory.
Approximate and noisy realization of discrete-time dynamical systems
This monograph deals with approximation and noise cancellation of dynamical systems which include linear and nonlinear input/output relations. It will be of special interest to researchers, engineers and graduate students who have specialized in ?ltering theory and system theory. This monograph provides new results and their extensions which can also be applied to nonlinear dynamical systems.
Approval Voting
The book proposes a compelling way to elect some 500,000 officials in public elections. After a generation of discussion and debate on the subject, the authors remain convinced that Approval Voting is as relevant today.
Approaches to Fundamental Physics : An Assessment of Current Theoretical Ideas
This book presents contributions on particle theory, quantum field theory, general relativity, quantum gravity, string theory and cosmology. These represent the outcome of numerous discussions, taking place among the authors over a period of several years, about the research landscape of present-day fundamental theoretical physics. Indeed, the resultant book documents their attempt, out of their respective and highly specialized scientific positions, to find a way of communicating about methods, achievements and promises of the different approaches which shape the development of this field. It is therefore also an attempt to elucidate the connections between these approaches, and present them not as disjoint ventures but rather as facets of a common quest for understanding. Readers interested in fundamental approaches of theoretical physics will find this book highly stimulating and enlightening.
