الصفحة 2
الصفحة 2
The Structure of Paintings
Demonstrates that the emotion expressed by a painting is actually the memory extracted by the laws. Therefore, the laws of memory storage allow the systematic and rigorous mapping not only of the compositional structure of a painting, but also of its emotional expression.
The Puzzle of Granular Computing
The ultimate goal of this book is to bring the fundamental issues of information granularity, inference tools and problem solving procedures into a coherent, unified, and fully operational framework. The objective is to offer the reader a comprehensive, self-contained, and uniform exposure to the subject.The strategy is to isolate some fundamental bricks of Computational Intelligence in terms of key problems and methods, and discuss their implementation and underlying rationale within a well structured and rigorous conceptual framework as well as carefully related to various application facets. All in all, the main approach advocated in the mono+I241graph consists of a sequence of steps offering solid conceptual fundamentals, presenting a carefully selected collection of design methodologies, discussing a wealth of development guidelines, and exemplifying them with a pertinent, accurately selected illustrative material.
The Political Economy of Fiscal Policy : Public Deficits, Volatility, and Growth
One of the most striking macroeconomic developments during the last three decades is the rise and persistence of large fiscal deficits in a number of countries. Despite recent major fiscal reforms around the world, many countries suffer from recurrent large fiscal imbalances that often reflect lack of fiscal discipline. Why do some countries have recurrent fiscal deficit or volatility problems, while others do not? What factors are most important in explaining cross-country variation in fiscal outcomes? How are they related to growth or inflation? This book presents new, rigorous, theoretical and empirical studies on these fiscal issues, and highlights social polarization as an essential organizing principle in a political economy approach. Also, it discusses how institutional constraints may favourably affect fiscal dynamics in the presence of social polarization.
The Mathematics of the Bose Gas and its Condensation
This book contains a unique survey of the mathematically rigorous results about the quantum-mechanical many-body problem.It addresses a topic that is not only rich mathematically, using a large variety of techniques in mathematical analysis, but is also one with strong ties to current experiments on ultra-cold Bose gases and Bose-Einstein condensation. The book provides a pedagogical entry into an active area .The book also provides a coherent summary of the field and a reference for mathematicians and physicists active in research on quantum mechanics.
The Mathematics of Minkowski Space-Time : With an Introduction to Commutative Hypercomplex Numbers
Hyperbolic numbers are proposed for a rigorous geometric formalization of the space-time symmetry of two-dimensional Special Relativity. The system of hyperbolic numbers as a simple extension of the field of complex numbers is extensively studied in the book. In particular, an exhaustive solution of the "twin paradox" is given, followed by a detailed exposition of space-time geometry and trigonometry. Finally, an appendix on general properties of commutative hypercomplex systems with four unities is presented.
The Mathematics of Arbitrage
This long-awaited book aims at a rigorous mathematical treatment of the theory of pricing and hedging of derivative securities by the principle of 'no arbitrage'. The first part presents a relatively elementary introduction, restricting itself to the case of finite probability spaces. The second part consists of an updated edition of seven original research papers by the authors, which analyse the topic in the general framework of semi-martingale theory.
The Fast Solution of Boundary Integral Equations
The use of surface potentials to describe solutions of partial differential equations goes back to the middle of the 19th century. Numerical approximation procedures, known today as Boundary Element Methods (BEM), have been developed in the physics and engineering community since the 1950s. These methods turn out to be powerful tools for numerical studies of various physical phenomena which can be described mathematically by partial differential equations. The Fast Solution of Boundary Integral Equations provides a detailed description of fast boundary element methods which are based on rigorous mathematical analysis. In particular, a symmetric formulation of boundary integral equations is used, Galerkin discretisation is discussed, and the necessary related stability and error estimates are derived. For the practical use of boundary integral methods, efficient algorithms together with their implementation are needed.
The Einstein Dossiers : Science and Politics - Einstein's Berlin Period with an Appendix on Einstein's FBI File
In 1919 the Prussian Ministry of Science, Arts and Culture opened a dossier on "Einstein's Theory of Relativity." It was rediscovered by the author in 1961 and is used in conjunction with numerous other subsequently identified 'Einstein' files as the basis of this fascinating book. In particular, the author carefully scrutinizes Einstein's FBI file from 1950-55 against mostly unpublished material from European including Soviet sources and presents hitherto unknown documentation on Einstein's alleged contacts with the German Communist Party and the Comintern. Siegfried Grundmann's thorough study of Einstein's participation on a committee of the League of Nations, based on archival research in Geneva, is also new. This book outlines Einstein's image in politics and German science policy. It covers the period from his appointment as a researcher in Berlin to his fight abroad against the "boycott of German science" after World War I and his struggle at home against attacks on "Jewish physics" of which he was made a prime target. An important gap in the literature on Einstein is thus filled, contributing much new material toward a better understanding of Einstein's so rigorous break with Germany.
The Economics of Forest Disturbances : Wildfires, Storms, and Invasive Species
Provides a unique, state-of-the-art review of both traditional and emerging themes in the economics of natural forest disturbances. Although natural disturbances such as wildfire, hurricanes and pests have long been recognized as important factors influencing the structure and health of forests, recent and dramatic increases in the costs and damages associated with forest disturbances necessitates a new evaluation of these processes. The authors show that neo-classical economic principles can be integrated with ecosystem analysis and modern econometric methods to uncover the causes and consequences of natural forest disturbances. The chapters encompass modern areas of concern in forest economics and policy, including temporal and spatial dynamics of economic-ecologic systems, risk-reducing mitigation and adaptation strategies, and the valuation of impacts on market and non-market resources. These topics are developed with case studies demonstrating rigorous empirical analysis with a policy-oriented focus. The book is intended for forest policy analysts and decision-makers, risk managers, forest economists and graduate students studying natural resource economics.
The Brownian Motion : A Rigorous but Gentle Introduction for Economists
This textbook is the first to provide Business and Economics with a precise and intuitive introduction to the formal backgrounds of modern financial theory. It explains Brownian motion, random processes, measures, and Lebesgue integrals intuitively, but without sacrificing the necessary mathematical formalism, making them accessible for readers with little or no previous knowledge of the field. It also includes mathematical definitions and the hidden stories behind the terms discussing why the theories are presented in specific ways.
Testing Statistical Hypotheses
The third edition of Testing Statistical Hypotheses updates and expands upon the classic graduate text, emphasizing optimality theory for hypothesis testing and confidence sets. The principal additions include a rigorous treatment of large sample optimality, together with the requisite tools. In addition, an introduction to the theory of resampling methods such as the bootstrap is developed. The sections on multiple testing and goodness of fit testing are expanded. The text is suitable for Ph.D. students in statistics and includes over 300 new problems out of a total of more than 760.
Testing and Tuning Market Trading Systems : Algorithms in C++
Build, test, and tune financial, insurance or other market trading systems using C++ algorithms and statistics. This book discusses and dissects this case study approach. Seemingly good backtest performance isn't enough to justify trading real money. You need to perform rigorous statistical tests of the system's validity. Then, if basic tests confirm the quality of your idea, you need to tune your system, not just for best performance, but also for robust behavior in the face of inevitable market changes.
Territorial Rights
The question of who is entitled to exercise jurisdiction over which land is of fundamental theoretical and practical importance. It has, however, been neglected by contemporary political philosophers. In her thoughtful and stimulating work, Territorial Rights, Tamar Meisels provides a much needed analysis of the normative issues involved. Territorial Rights is a comprehensive, rigorous and illuminating analysis. It provides both an evaluation of competing philosophical perspectives and a defence of a liberal nationalist perspective on territory. In doing so it includes instructive discussions of the implications of Locke's political thought for territorial rights, and the continuing relevance of historic injustices. It would be of interest to anyone interested in questions of territorial rights.
Techniques of Constructive Analysis
This text provides a rigorous, wide-ranging introduction to modern constructive analysis for anyone with a strong mathematical background who is interested in the challenge of developing mathematics algorithmically.
Symplectic Geometry and Quantum Mechanics
Devoted to a rather complete discussion of techniques and topics intervening in the mathematical treatment of quantum and semi-classical mechanics. It starts with a rigorous presentation of the basics of symplectic geometry and of its multiply-oriented extension. Further chapters concentrate on Lagrangian manifolds, Weyl operators and the Wigner-Moyal transform as well as on metaplectic groups and Maslov indices.
Supply Chain Optimization
Captures the latest results in a segment of current research activity in supply chain management. This research area focuses on applying optimization techniques to supply chain management problems. The research papers that make up the volume provide a snapshot of state-of-the-art optimization methods within the field. This book presents rigorous modelling approaches for supply chain operations problems with a goal of improving supply chain performance (or the performance of some segment thereof). It contains high-quality works from leading researchers in the field whose expertise fits within this scope. The book provides a diverse blend of research topics and novel modelling and solution approaches for difficult classes of supply chain operations, planning, and design problems.
Stochastic Ordinary and Stochastic Partial Differential Equations : Transition from Microscopic to Macroscopic Equations
This book provides the first rigorous derivation of mesoscopic and macroscopic equations from a deterministic system of microscopic equations. The microscopic equations are cast in the form of a deterministic (Newtonian) system of coupled nonlinear oscillators for N large particles and infinitely many small particles. The mesoscopic equations are stochastic ordinary differential equations (SODEs) and stochastic partial differential equatuions (SPDEs), and the macroscopic limit is described by a parabolic partial differential equation. A detailed analysis of the SODEs and (quasi-linear) SPDEs is presented. Semi-linear (parabolic) SPDEs are represented as first order stochastic transport equations driven by Stratonovich differentials. The time evolution of correlated Brownian motions is shown to be consistent with the depletion phenomena experimentally observed in colloids.
Stochastic Numerics for the Boltzmann Equation
Stochastic numerical methods play an important role in large scale computations in the applied sciences. The first goal of this book is to give a mathematical description of classical direct simulation Monte Carlo (DSMC) procedures for rarefied gases, using the theory of Markov processes as a unifying framework. The second goal is a systematic treatment of an extension of DSMC, called stochastic weighted particle method. This method includes several new features, which are introduced for the purpose of variance reduction (rare event simulation). Rigorous convergence results as well as detailed numerical studies are presented.
Steam Generators : Description and Design
Presents the different types of generators which are installed either in industrial plants like power plants. In particular boilers for energy of regenerative sources are included. Information about the optimized solutions, the energetic saving, and the mistakes to be avoided is given to the designer. In the second section both, the thermodynamic calculation and the fluid dynamics are developed according to rigorous scientific criteria. In this section, the author presents several of his original studies. Finally, optimizing criteria are illustrated and computer calculations are shown according to the calculation criteria that are indicated in the book. An appendix includes an in-depth analysis of a few topics discussed in previous chapters and a study about finned tubes.
Statistical Population Genomics
Presents state-of-the-art inference methods in population genomics, focusing on data analysis based on rigorous statistical techniques. After introducing general concepts related to the biology of genomes and their evolution, the book covers state-of-the-art methods for the analysis of genomes in populations, including demography inference, population structure analysis and detection of selection, using both model-based inference and simulation procedures
