الصفحة 18
الصفحة 18
Elements of Mathematics for Economics and Finance
Based on over 15 years’ experience in the design and delivery of successful first-year courses, this book equips undergraduates with the mathematical skills required for degree courses in economics, finance, management and business studies. The book starts with a summary of basic skills and takes its readers as far as constrained optimisation helping them to become confident and competent in the use of mathematical tools and techniques that can be applied to a range of problems in economics and finance
Elements for Physics : Quantities, Qualities, and Intrinsic Theories
While usual presentations of physical theories emphasize the notion of physical quantity, this book shows that there is much to gain when introducing the notion of physical quality. The usual physical quantities simply appear as coordinates over the manifolds representing the physical qualities. This allows to develop physical theories that have a degree of invariance much deeper than the usual one. It is shown that properly developed physical theories contain logarithms and exponentials of tensors: their conspicuous absence in usual theories suggests, in fact, that the fundamental invariance principle stated in this book is lacking in present-day mathematical physics. The book reviews and extends the theory if Lie groups, develops differential geometry, proposing compact definitions of torsion and of curvature, and adapts the usual notion of linear tangent application to the intrinsic point of view proposed for physics. As an illustration, two simple theories are studied with some detail, the theory of heat conduction and the theory of linear elastic media. The equations found differ quantitatively and qualitatively from those usually presented.
Elementary linear algebra applications version
Gives an elementary treatment of linear algebra that is suitable for a first course for undergraduate students. The aim is to present the fundamentals of linear algebra in the clearest possible way; pedagogy is the main consideration. Calculus is not a prerequisite, but there are clearly labeled exercises and examples (which can be omitted without loss of continuity) for students who have studied calculus.
Elementary linear algebra
Gives an elementary treatment of linear algebra that is suitable for a first course for undergraduate students. The aim is to present the fundamentals of linear algebra in the clearest possible way; pedagogy is the main consideration. Calculus is not a prerequisite, but there are clearly labeled exercises and examples (which can be omitted without loss of continuity) for students who have studied calculus.
Electromagnetic and Optical Pulse Propagation 1 : Spectral Representations in Temporally Dispersive Media
Electromagnetic & Optical Pulse Propagation presents a systematic treatment of the radiation and propagation of transient electromagnetic and optical wave fields through causal, locally linear media which exhibit both temporal dispersion and absorption.
Elasto-plastic damage behaviour of concrete elements
Shows how the mechanical phenomena of familiar concrete structures can be expressed using mathematical models and provides a solid basic understanding of the nonlinear behaviour of concrete structures. It applies elasto-plastic theory to damage mechanics and the modelling of cracks in concrete. Sets out the reality of damage mechanics in concrete Connects standard theory with good design and construction practice
Elasto-Plastic and Damage Analysis of Plates and Shells
This book presents a finite element model for the elasto-plastic and damage analysis of thin and thick shells. Linear elastic, inelastic and softening behaviors caused by damage in structural shells, as well as large rotations are investigated.
Elasticity and Plasticity of Large Deformations : An Introduction
The book presents in detail the used mathematical tools, such as tensor algebra and analysis. The general theory of mechanical behavior is particularized for the broad and important classes of elasticity and plasticity. The book is intended to bring the reader close to the fields of today's research activities. A list of notations and an index help the reader to find specific topics.
Elasticity and Plasticity of Large Deformations : An Introduction
The book offers a careful introduction to modern non-linear mechanics. The used mathematical tools, such as tensor algebra and analysis are given in detail. The general theory of mechanical behaviour is particularized for the broad and important classes of elasticity and plasticity. It is intended to bring the reader close to the fields of today's research activities. A list of notations and an index help the reader to find specific topics. The book is based on three decades of teaching experience in this field.
Eigenvalues, Inequalities, and Ergodic Theory
A problem of broad interest – the estimation of the spectral gap for matrices or differential operators (Markov chains or diffusions) – is covered in this book. The area has a wide range of applications, and provides a tool to describe the phase transitions and the effectiveness of random algorithms. In particular, the book studies a subset of the general problem, taking some approaches that have, up till now, only appeared largely in the Chinese literature.Eigenvalues, Inequalities and Ergodic Theory serves as an introduction to this developing field, and provides an overview of the methods used, in an accessible and concise manner.
Efficient Approximation and Online Algorithms : Recent Progress on Classical Combinatorial Optimization Problems and New Applications
This book provides a good opportunity for computer science practitioners and researchers to get in sync with current state-of-the-art and future trends in the field of combinatorial optimization and online algorithms. Recent advances in this area are presented focusing on the design of efficient approximation and on-line algorithms. One central idea in the book is to use a linear program relaxation of the problem, randomization and rounding techniques.
Effective Computational Geometry for Curves and Surfaces
Computational geometry emerged as a discipline in the seventies and has had considerable success in improving the asymptotic complexity of the solutions to basic geometric problems including constructions of data structures,convex hulls, triangulations, Voronoi diagrams and geometric arrangements as well as geometric optimisation. The goal of this book is to take into consideration the multidisciplinary nature of the problem and to provide solid mathematical and algorithmic foundations for effiective computational geometry fo rcurves and surfaces. This book covers two main approaches. In a first part, we discuss exact geometric algorithms for curves and s- faces. We revisit two prominent data structures of computational geometry, namely arrangements (Chap. 1) and Voronoi diagrams (Chap. 2) in order to understand how these structures, which are well-known for linear objects, behave when de?ned on curved objects.
Economists Mathematical Manual
In particular, we have included some key concepts and results from trade theory, games of incomplete information and combinatorics. In addition there are scattered additions of new formulas in many chapters. Again we are indebted to a number of people who has suggested corrections, - provements and new formulas.
Economics: Complex Windows
This volume contains papers that provide an analysis of topics in the following areas: Agent Based Models, Non-linear Time Series Analysis, Financial Market Dynamics, Econo-physics, Deterministic Chaos, Macroeconomic Dynamics. Economics: Complex Windows, does not present contributions to the sterile debate as to the merits of the different grand, or potentially grand paradigms of economics. Rather it offers a balanced collection of methodological advances which can be applied to concrete economic problems. Starting with a presentation of the "complexity approach" to economics, it goes on to provide a collection of applications to areas such as the analysis of market imperfections, risk assessment, non-linear dynamics, forecasting and highly irregular fluctuations. The tools used help to provide a clearer understanding and a more accurate analysis of these areas of economics. They also highlight the gulf which exists between current economic theory and real economic practice. The basic idea is to encourage economic researchers to embrace a more open and pragmatic approach to economics rather than to reluctantly move in this direction as if it were somehow a betrayal of established dogma. We hope, in this way, to open up avenues which will lead to progress beyond the "holy trinity", (rationality, equilibrium and greed) of modern economics.
Econometrics
This textbook teaches some of the basic econometric methods and the underlying assumptions behind them. It also includes a simple and concise treatment of more advanced topics in spatial correlation, panel data, limited dependent variables, regression diagnostics, specification testing and time series analysis. Some of the strengths of this book lie in presenting difficult material in a simple, yet rigorous manner. Each chapter has a set of theoretical exercises as well as an empirical illustration using a real economic application.
Dynamics of Rotating Systems
This book is structured in two parts: the first introduces classical or basic rotordynamics. The basic assumptions are linearity, steady state operation, and at least some degree of axial symmetry. The second part discusses advanced rotordynamics. More detailed models are covered for rotors departing from the classic configurations studied in rotordynamics. The contents of the second part are more research topics than consolidated applications.
Dynamics of Coupled Map Lattices and of Related Spatially Extended Systems
This book is about the dynamics of coupled map lattices (CML) and of related spatially extended systems. It will be useful to post-graduate students and researchers seeking an overview of the state-of-the-art and of open problems in this area of nonlinear dynamics. The special feature of this book is that it describes the (mathematical) theory of CML and some related systems and their phenomenology, with some examples of CML modeling of concrete systems (from physics and biology). More precisely, the book deals with statistical properties of (weakly) coupled chaotic maps, geometric aspects of (chaotic) CML, monotonic spatially extended systems, and dynamical models of specific biological systems.
Dynamic General Equilibrium Modelling : Computational Methods and Applications
Modern business cycle theory and growth theory uses stochastic dynamic general equilibrium models. Many mathematical tools are needed to solve these models. The book presents various methods for computing the dynamics of general equilibrium models. In part I, the representative-agent stochastic growth model is solved with the help of value function iteration, linear and linear quadratic approximation methods, parameterised expectations and projection methods. In order to apply these methods, fundamentals from numerical analysis are reviewed in detail. Part II discusses methods for solving heterogeneous-agent economies. In such economies, the distribution of the individual state variables is endogenous. This part of the book also serves as an introduction to the modern theory of distribution economics. Applications include the dynamics of the income distribution over the business cycle or the overlapping-generations model.
Dynamic brain : From neural spikes to behaviors ; 12th International Summer School on Neural Networks, Erice, Italy, December 5-12, 2007, Revised Lectures
The volume presents 12 thoroughly revised tutorial papers based on lectures given by leading researchers at the 12th International Summer School on Neural Networks in Erice, Italy, in December 2007.
Dynamic Analysis of Structures
Reflects the latest application of structural dynamics theory to produce more optimal and economical structural designs. The author includes carefully worked-out examples which are solved utilizing more recent numerical methods. These examples pave the way to more accurately simulate the behavior of various types of structures. The essential topics covered include principles of structural dynamics applied to particles, rigid and deformable bodies, thus enabling the formulation of equations for the motion of any structure.
