الصفحة 1
الصفحة 1
On the Topology of Isolated Singularities in Analytic Spaces
The aim of this book is to give an overview of selected topics on the topology of real and complex isolated singularities, with emphasis on its relations to other branches of geometry and topology. The first chapters are mostly devoted to complex singularities and a myriad of results spread in a vast literature, which are presented here in a unified way, accessible to non-specialists. Among the topics are the fibration theorems of Milnor; the relation with 3-dimensional Lie groups; exotic spheres; spin structures and 3-manifold invariants; the geometry of quadrics and Arnold's theorem which states that the complex projective plane modulo conjugation is the 4-sphere. The second part of the book studies pioneer work about real analytic singularities which arise from the topological and geometric study of holomorphic vector fields and foliations. In the low dimensional case these turn out to be related to fibred links in the 3-sphere defined by meromorphic functions. This provides new methods for constructing manifolds equipped with a rich geometry.
Oceans and Health: Pathogens in the Marine Environment
The importance of combating infectious diseases has received international attention, p- viding the opportunity for a multidisciplinary approach that combines medicine with other scientist candtechnological capabilities,notably information technology,nanotechnology,and biotechnology. In fact, it has been predicted that the future will bring a merging of these te- nologies with the cognitive and behavioral sciences.. The connection between infectious diseases and the oceans provides a paradigm for this perspective. A stark global context indisputably frames all human health issues in the twenty century: the world wide movement of people and goods. Throughout the past half century, international travel has skyrocketed; there are more than 500 million international arrivals per year. The greatest increase has taken place since the mid-1990s. The world has become integrated and global; consequently, the notion that it is possible to successfully eradicate a disease from the face of the planet has become simplistic. Infectious disease is a moving target and climate shifts will affect any disease that has an environmentally sensitive stage or vector.
Numerical Mathematics and Advanced Applications ; Proceedings of ENUMATH 2005 the 6th European Conference on Numerical Mathematics and Advanced Applications, Santiago de Compostela, Spain, July 2005
This book include applications such as atmosphere and ocean, water pollution, electromagnetism, interface problems, waves, finance, heat transfer, unbounded domains, numerical linear algebra, convection-diffusion, fluid-structure, plates, solids, hyperbolic equations, multiphase flow, Navier-Stokes, singular perturbation problems, non linear PDE, control, parabolic equations, as well as methodologies such as a posteriori error estimates, discontinuous Galerkin methods, multiscale methods, optimization, adaptive methods, domain decomposition techniques, exponential integrators, hp-finite elements, level set methods, fractional step methods, penalty procedures, and finite volumes. The book gives an extensive overview of the most recent research in scientific computing, providing to the reader the latest developments concerning the mathematical issues and the applications of this active field of science.
Numerical computation, data analysis and software in mathematics and engineering
Include the aspects of the meshless method, numerical simulation, mathematical models, deep learning and data analysis. Meshless methods, such as the improved element-free Galerkin method, the dimension-splitting, interpolating, moving, least-squares method, the dimension-splitting, generalized, interpolating, element-free Galerkin method and the improved interpolating, complex variable, element-free Galerkin method, are presented. Some complicated problems, such as tge cold roll-forming process, ceramsite compound insulation block, crack propagation and heavy-haul railway tunnel with defects, are numerically analyzed.
Nonsmooth Vector Functions and Continuous Optimization
A recent significant innovation in mathematical sciences has been the progressive use of nonsmooth calculus, an extension of the differential calculus, as a key tool of modern analysis in many areas of mathematics, operations research, and engineering. Focusing on the study of nonsmooth vector functions, this book presents a comprehensive account of the calculus of generalized Jacobian matrices and their applications to continuous nonsmooth optimization problems and variational inequalities in finite dimensions.
New Introduction to Multiple Time Series Analysis
This reference work and graduate level textbook considers a wide range of models and methods for analyzing and forecasting multiple time series. The models covered include vector autoregressive, cointegrated,vector autoregressive moving average, multivariate ARCH and periodic processes as well as dynamic simultaneous equations and state space models. Least squares, maximum likelihood and Bayesian methods are considered for estimating these models. Different procedures for model selection and model specification are treated and a wide range of tests and criteria for model checking are introduced. Causality analysis, impulse response analysis and innovation accounting are presented as tools for structural analysis. The book is accessible to graduate students in business and economics. In addition, multiple time series courses in other fields such as statistics and engineering may be based on it. Applied researchers involved in analyzing multiple time series may benefit from the book as it provides the background and tools for their tasks. It bridges the gap to the difficult technical literature on the topic.
New Developments in Computational Fluid Dynamics ; Proceedings of the Sixth International Nobeyama Workshop on the New Century of Computational Fluid Dynamics, Nobeyama, Japan, April 21 to 24, 2003
This volume contains 20 papers in Nobeyama Workshop focuses on predicting the next one hundred years of development of Fluid Dynamics, accounting for the current status and future trends of high performance computation and communication.
New Concepts of Antiviral Therapy
Antiviral drugs are important tools for treatment or prevention of viral infections. These drugs were first used for monotherapy, but nowadays combinations of antiviral agents are often part of a standard treatment as evidenced by e.g. HAART (highly active antiretroviral therapy). However, in almost every case of antiviral therapy, drug resistant viruses appear. In addition, the low oral bioavailability, toxicity and the number of severe side effects still pose significant problems. All of the latter issues limit the clinical usefulness and drive the need for improved antiviral strategies. These strategies include new drugs and targets, novel modes of action, vector-based treatments and even the block of defined genes by inhibiting mRNA formation (siRNA).
New and emerging plant viruses : the threat to food security
Despite intensive efforts to manage and prevent plant viruses and their potential vectors in crop production processes, many crops are damaged each year. This new book reviews the progress made to date and the challenges ahead in the field of plant viruses and agricultural production. It sheds light on previously undiscovered plant viruses, bringing together information on the detection and tracking, host interaction, evolution, and management. The first section covers the various hidden sources of plant viruses such as from wild plants, weeds, and tobacco as well as other undetermined plant virus sources. The second section covers the implications of mixed infection on disease pathogenicity and epidemiology, provides an understanding of the virus and host relationship, and presents an overview of plant viruses from old to new.
Neural networks and deep learning
Covers both classical and modern models in deep learning. The primary focus is on the theory and algorithms of deep learning. The theory and algorithms of neural networks are particularly important for understanding important concepts, so that one can understand the important design concepts of neural architectures in different applications. Why do neural networks work? When do they work better than off-the-shelf machine-learning models? When is depth useful? Why is training neural networks so hard? What are the pitfalls? The book is also rich in discussing different applications in order to give the practitioner a flavor of how neural architectures are designed for different types of problems.
Multiple Classifier Systems ; 2nd International Workshop, MCS 2001 Cambridge, UK, July 2-4, 2001 Proceedings
Driven by the requirements of a large number of practical and commercially - portant applications, the last decade has witnessed considerable advances in p- tern recognition. Better understanding of the design issues and new paradigms, such as the Support Vector Machine, have contributed to the development of - proved methods of pattern classi cation. However, while any performance gains are welcome, and often extremely signi cant from the practical point of view, it is increasingly more challenging to reach the point of perfection as de ned by the theoretical optimality of decision making in a given decision framework. The asymptoticity of gains that can be made for a single classi er is a re?- tion of the fact that any particular design, regardless of how good it is, simply provides just one estimate of the optimal decision rule.
Multiphase Flow Dynamics 2 : Thermal and Mechanical Interactions ; 3rd ed.
Multi-phase flows are part of our natural environment such as tornadoes, typhoons, air and water pollution and volcanic activities as well as part of industrial technology such as power plants, combustion engines, propulsion systems, or chemical and biological industry. The industrial use of multi-phase systems requires analytical and numerical strategies for predicting their behavior. In its third extended edition this book contains theory, methods and practical experience for describing complex transient multi-phase processes in arbitrary geometrical configurations. This book provides a systematic presentation of the theory and practice of numerical multi-phase fluid dynamics. In the present second volume the mechanical and thermal interactions in multiphase dynamics are provided. This third edition includes various updates, extensions, improvements and corrections.
Multiphase Flow Dynamics 2 : Thermal and Mechanical Interactions ; 2nd ed.
This book provides a systematic presentation of the theory and practice of numerical multi-phase fluid dynamics. In the present second volume the mechanical and thermal interactions in multiphase dynamics are provided.
Multi-Objective Machine Learning
This monograph presents a selected collection of research work on multi-objective approach to machine learning, including multi-objective feature selection, multi-objective model selection in training multi-layer perceptrons, radial-basis-function networks, support vector machines, decision trees, and intelligent systems.
Multidimensional Screening
The book brings into a focus all necessary mathematical knowledge necessary to understand the economics of multidimensional results screening and applies them straightaway to economic models. The first part of this book contains a review of vector calculus, the theory of partial differential equations, and the theory of generalized convexity. These techniques are extensively used in multidimensional screening models. Part II is devoted to the economics of sceening models. It starts with a detailed discussion of economics and mathematics of unidimensional screening problems and three approaches to their solution: direct, dual, and Hamiltonian. It uses the Hamiltonian approach to unify all known results, which were previously obtained using different arguments. Then the major difficulties with direct and dual approach in the multidimensional context are discussed and the Hamiltonian approach is used to provide the most complete characterization of the solution known in the literature.
Mosquito Ecology : Field Sampling Methods
The purpose of this book is in keeping with the original vision of Professor Service to describe the methods and rationale for sampling mosquitoes, with particular emphasis on the ecology and behaviour of those species that play a role as vectors of human and animal diseases and infections. The book is designed to serve as a practical reference for field entomologists and mosquito control specialists and describes the sampling methods and available trapping technologies and tools for the collection of all life-stages of mosquitoes, from egg to adult. It also describes the techniques available for data analysis and discusses ecological principles of relevance to the study of field populations of mosquitoes. While concentrating primarily on mosquitoes, many of the techniques described are suitable for the study of other Diptera, including Ceratopogonidae, Chironomidae, Simuliidae, Phlebotominae, etc.
Molecular genetics, structures, mechanisms, and functions : Principles of gene manipulation and genomics ; Vol.1
Provides an overview of the future of genetic engineering and delves into the role of biotechnology and its applications in genetic engineering. It discusses the tools of recombinant technology, which have brought about revolution in our understanding of various complex biological phenomena. Chapters cover mutagenesis, construction, and sequencing of DNA libraries along with applications of genetic engineering for improving health, preventing genetic diseases, enhancing food resources, managing environmental bioremediation, and more. Topics include genetic engineering tools for restriction enzymes and vectors, gene and cell division, mutation detection and screening in plants, population genetics, sexuality in bacteria, and more. Several chapters focus on the tools of recombinant technology, such as restriction enzymes, vectors, etc., that have paved the way for creating organisms of choice and opened new horizons in the field of medicine, agriculture, and industry for human welfare.
Modern Multivariate Statistical Techniques : Regression, Classification, and Manifold Learning
Remarkable advances in computation and data storage and the ready availability of huge data sets have been the keys to the growth of the new disciplines of data mining and machine learning, while the enormous success of the Human Genome Project has opened up the field of bioinformatics. These exciting developments, which led to the introduction of many innovative statistical tools for high-dimensional data analysis, are described here in detail. The author takes a broad perspective; for the first time in a book on multivariate analysis, nonlinear methods are discussed in detail as well as linear methods.
Modern Differential Geometry in Gauge Theories : Maxwell Fields ; Vol. I
Differential geometry, in the classical sense, is developed through the theory of smooth manifolds. Modern differential geometry from the author’s perspective is used in this work to describe physical theories of a geometric character without using any notion of calculus (smoothness). Instead, an axiomatic treatment of differential geometry is presented via sheaf theory (geometry) and sheaf cohomology (analysis). Using vector sheaves, in place of bundles, based on arbitrary topological spaces, this unique approach in general furthers new perspectives and calculations that generate unexpected potential applications .Volume 1, the focus is on Maxwell fields. All the basic concepts of this mathematical approach are formulated and used thereafter to describe elementary particles, electromagnetism, and geometric prequantization. Maxwell fields are fully examined and classified in the language of sheaf theory and sheaf cohomology.
Modelling the dispersion of radionuclides in the marine environment : An introduction
This book is a practical guide to the subject of numerical modelling of radioactivity dispersion in the marine environment. Thus, the techniques and numerical procedures required are explained in detail, with the aim of enabling the reader to build a real mathematical model. The book covers basic concepts and techniques, such as solving the advection-diffusion equation in a simple 1D form, as well as the most recent developments (full 3D models for non-conservative radionuclides including chemical reactions and speciation). A chapter is dedicated to the basic hydrodynamic modelling that is always required to simulate the dispersion of tracers in the sea; Eulerian and Lagrangian modelling techniques are also described. A chapter describes sensitivity and uncertainty analysis, the final stage in modelling works. A review on some published radionuclide dispersion models is also included.
