الصفحة 18
الصفحة 18
img

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.

img

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.

img

Archaelogy Under Dictatorship

This volume aims to provide a theoretical basis for understanding the specific effects of totalitarian dictatorship upon the practice of archaeology, both during and after the dictator's reign.

img

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.

img

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.

img

Apprehension and Argument : Ancient Theories of Starting Points for Knowledge

This book offers the first synoptic study of how the primary elements in knowledge structures were analysed in antiquity from Plato to late ancient commentaries, the main emphasis being on the Platonic-Aristotelian tradition. It argues that, in the Platonic-Aristotelian tradition, the question of starting points was treated from two distinct points of view: from the first perspective, as a question of how we acquire basic knowledge; and from the second perspective, as a question of the premises we may immediately accept in the line of argumentation. It was assumed that we acquire some general truths rather naturally and that these function as starting points for inquiry. In the Hellenistic period, an alternative approach was endorsed: the very possibility of knowledge became a central issue when sceptics began demanding that true claims should always be distinguishable from false ones.

img

Applied Stratigraphy

This book aims to incorporate major aspects and essential elements underpinning the modern applications and perspectives of stratigraphy. It focuses on traditional and innovative techniques and how these can be utilized in reconstructing the geological history of sedimentary basins and in solving manifold geological problems and phenomena. Each chapter summarizes contributions by leading researchers in the field. It is hoped that this book will provide the reader with key insights into all these aspects and applications.

img

Applied scanning probe methodsVII : Biomimetics and industrial applications

The present volumes cover three main areas: novel probes and techniques (Vol. V), charactarization (Vol. VI), and biomimetics and industrial applications (Vol. VII). Volume V includes an overview of probe and sensor technologies including integrated cantilever concepts, electrostatic microscanners, low-noise methods and improved dynamic force microscopy techniques, high-resonance dynamic force - croscopy and the torsional resonance method, modelling of tip cantilever systems, scanning probe methods, approaches for elasticity and adhesion measurements on the nanometer scale as well as optical applications of scanning probe techniques based on near?eld Raman spectroscopy and imaging.

img

Applied High-Speed Plate Penetration Dynamics

High-speed impact dynamics is of interest in the fundamental sciences, e.g., astrophysics and space sciences, and has a number of important applications in military technologies, homeland security and engineering.

img

Applied computational materials modeling : Theory, simulation and experiment

this book provides the average person working in the materials field with a more balanced perspective of the role that computational modeling can play in every day research and development efforts. This is done by presenting a series of examples of the successful application of various computational modeling procedures (everything from first principles to quantum approximate to CALPHAD methods) to real life surface and bulk alloy problems.This book should have a large appeal in the materials community, both for experimentalists who would greatly benefit from adding computational methods to their everyday research regimes, as well as for those scientists/engineers familiar with a particular computational method who would like to add complementary techniques to their arsenal of research and development tools

img

Applicazioni ed esercizi di modellistica numerica per problemi differenziali = Applications and exercises in numerical modeling for differential problems

Contains a collection of exercises related to typical topics in a course on analytical and numerical methods offered in a degree program in Engineering or Mathematics. Starting with exercises in functional analysis and approximation theory, the text develops problems related to the numerical resolution of elliptic, parabolic, and hyperbolic partial differential equations, scalar or vector, in one or more spatial dimensions. Pure diffusion and pure convection problems are therefore addressed, alongside diffusion-transport problems and problems in compressible and incompressible fluid dynamics. Particular emphasis is given to the finite element method for the spatial discretization of the problems considered, although exercises on the finite difference and finite volume methods are also included.

img

Anti-vivisection and the profession of medicine in Britain : A social history

This book explores the social history of the anti-vivisection movement in Britain from its nineteenth-century beginnings until the 1960s. It discusses the ethical principles that inspired the movement and the socio-political background that explains its rise and fall. Opposition to vivisection began when medical practitioners complained it was contrary to the compassionate ethos of their profession. Christian anti-cruelty organizations took up the cause out of concern that callousness among the professional classes would have a demoralizing effect on the rest of society. As the nineteenth century drew to a close, the influence of transcendentalism, Eastern religions and the spiritual revival led new age social reformers to champion a more holistic approach to science, and dismiss reliance on vivisection as a materialistic oversimplification.

img

Antarctica : Contributions to Global Earth Sciences

Sixty articles arranged in eight thematic sections refer to most recent geological and geophysical results of Antarctic research. The Precambrian of the East Antarctic shield and its geological history is considered as well as sub-ice topography, geophysics and stratigraphy, sedimentology and geophysics of the surrounding Southern Ocean. Particular emphasis is given to the connection of the Antarctic and the surrounding continents when forming part of Gondwana.

img

Analytical Chemistry : Theoretical and Metrological Fundamentals

Fundamentals of Analytical Chemistry are usually presented as a sum of chemical and physical foundations, laws, axioms and equations for analytical methods and procedures. In contrast, this book delivers a practice-oriented, general guiding theory valid for all methods and techniques. Starting with a closer look to analytical signals and their dependencies, all the important figures of merit characterizing the power of analytical procedures and the reliability of analytical results are discussed and quantified, such as sensitivity, precision, accuracy and ruggedness. Elements of signal theory, information theory, statistics and fundamentals of calibration are also presented for this aim.

img

Analysis, Modeling and Simulation of Multiscale Problems

This book reports recent mathematical developments in the Programme "Analysis, Modeling and Simulation of Multiscale Problems", which started as a German research initiative in 2006. Multiscale problems occur in many fields of science, such as microstructures in materials, sharp-interface models, many-particle systems and motions on different spatial and temporal scales in quantum mechanics or in molecular dynamics. The book presents current mathematical foundations of modeling, and proposes efficient numerical treatment.

img

Analysis of Toeplitz Operators

Since the late 1980s, Toeplitz operators and matrices have remained a feld of extensive research and the development during the last nearly twenty years is impressive. One encounters Toeplitz matrices in plenty of applications on the one hand, and Toeplitz operators con?rmed their role as the basic elementary building blocks of more complicated operators on the other. Several monographs on Toeplitz and Hankel operators were written d- ing the last decade. These include Peller’s grandiose book on Hankel ope- tors and their applications and Nikolski’s beautiful easy reading on operators, functions, and systems, with emphasis on topics connected with the names of Hardy, Hankel, and Toeplitz.

img

Analysis and Synthesis of Logics : How to Cut and Paste Reasoning Systems

Starting with simple examples showing the relevance of cutting and pasting logics, the monograph develops a mathematical theory of combining and decomposing logics, ranging from propositional and first-order based logics to higher-order based logics as well as to non-truth functional logics. The theory covers mechanisms for combining semantic structures and deductive systems either of the same or different nature (for instance, two Hilbert calculi or a Hilbert calculus and a tableau calculus). The important issue of preservation of properties is extensively addressed. For instance, sufficient conditions are provided for a combined logic to be sound and complete when the original component logics are known to be sound and complete.

img

Analysis and Probability : Wavelets, Signals, Fractals

This book, combining analysis and tools from mathematical probability, focuses on a systematic and novel presentation of recent trends in pure and applied mathematics: the emergence of three fields, wavelets, signals and fractals. The unity of basis constructions and their expansions is emphasized as the starting point for the development of bases that are computationally efficient for use in several areas from wavelets to fractals.the book brings together tools from engineering and math, especially from signal- and image processing, and from harmonic analysis and operator theory. The presentation is aimed at graduate students, as well as users from a diverse spectrum of applications.

img

Analyse asymptotique et couche limite = Asymptotic analysis and boundary layer

The aim of the book is to give teachers and students (from Bac + 4) in applied mathematics and fluid mechanics a teaching and learning tool illustrated by fifty problems accompanied by their detailed correction. This book presents a new method of asymptotic analysis for "boundary layer" problems. This is called MASC "Method of Complementary Successive Approximations". The first half of the book is devoted, in addition to the presentation of the MASC, to organize the knowledge necessary for the asymptotic analysis and to give the keys allowing the understanding of what is a problem called "boundary layer" and the methods allowing. to build an approximation. The second part is devoted to the application of MASC in fluid mechanics and to the comparison with the more traditional methods resulting from the famous MDAR, "Method of Connected Asymptotic Developments".

img

Analog Design Essentials

The book starts with elementary stages in building up operational amplifiers. The synthesis of opamps is covered in great detail, such that lowest power consumption is always guaranteed. Many examples are included, operating at low supply voltages. Chapters on noise, distortion, filters, ADC/DACs and oscillators follow. These are all based on the extensive amount of teaching that the author has carried out both at universities and companies world-wide. All chapters have been drawn up specifically for self-study. They aim, however, at different levels of understanding. All start with elementary material. Most chapters also contain advanced material, especially from Chapter 9 onwards.

عدد النتائج بكل صفحة