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Invariant Probabilities of Markov-Feller Operators and Their Supports
In this book invariant probabilities for a large class of discrete-time homogeneous Markov processes known as Feller processes are discussed. These Feller processes appear in the study of iterated function systems with probabilities, convolution operators, certain time series, etc. Rather than dealing with the processes, the transition probabilities and the operators associated with these processes are studied.
Invariant Manifolds for Physical and Chemical Kinetics
By bringing together various ideas and methods for extracting the slow manifolds the authors show that it is possible to establish a more macroscopic description in nonequilibrium systems. The book treats slowness as stability. A unifying geometrical viewpoint of the thermodynamics of slow and fast motion enables the development of reduction techniques, both analytical and numerical. Examples considered in the book range from the Boltzmann kinetic equation and hydrodynamics to the Fokker-Planck equations of polymer dynamics and models of chemical kinetics describing oxidation reactions. Special chapters are devoted to model reduction in classical statistical dynamics, natural selection, and exact solutions for slow hydrodynamic manifolds. The book will be a major reference source for both theoretical and applied model reduction. Intended primarily as a postgraduate-level text in nonequilibrium kinetics and model reduction, it will also be valuable to PhD students and researchers in applied mathematics, physics and various fields of engineering.
Intuitive Human Interfaces for Organizing and Accessing Intellectual Assets ; International Workshop, Dagstuhl Castle, Germany, March 1-5, 2004, Revised Selected Papers
This book constitutes the thoroughly refereed post-proceedings of the 2004 International Workshop on Intuitive Human Interfaces for Organizing and Accessing Intellectual Assets, held in Dagstuhl Castle, Germany in March 2004. The 17 revised full papers presented together with an introductory overview have gone through two rounds of reviewing and revision. The papers are organized in topical sections on man-machine interface for intuitive knowledge access, intelligent pad and meme media, visualization and design of information access spaces, and semantics and narrative organization and access of knowledge.
Intrusion Detection and Correlation : Challenges and Solutions
Challenges and Solutions presents intrusion detection systems (IDSs) and addresses the problem of managing and correlating the alerts produced. This volume discusses the role of intrusion detection in the realm of network security with comparisons to traditional methods such as firewalls and cryptography. Challenges and Solutions analyzes the challenges in interpreting and combining (i.e., correlating) alerts produced by these systems. In addition, existing academic and commercial systems are classified; their advantage and shortcomings are presented, especially in the case of deployment in large, real-world sites. Challenges and Solutions is designed for a professional audience composed of researchers and practitioners in industry. This book is also suitable for graduate-level students in computer science.
Introductory Statistics with R
R is an Open Source implementation of the S language. It works on multiple computing platforms and can be freely downloaded. R is now in widespread use for teaching at many levels as well as for practical data analysis and methodological development. This book provides an elementary-level introduction to R, targeting both non-statistician scientists in various fields and students of statistics. The main mode of presentation is via code examples with liberal commenting of the code and the output, from the computational as well as the statistical viewpoint. A supplementary R package can be downloaded and contains the data sets.
Introductory Lectures on Fluctuations of Lévy Processes with Applications
Lévy processes are the natural continuous-time analogue of random walks and form a rich class of stochastic processes around which a robust mathematical theory exists. Their mathematical significance is justified by their application in many areas of classical and modern stochastic models including storage models, renewal processes, insurance risk models, optimal stopping problems, mathematical finance and continuous-state branching processes.The book aims to be mathematically rigorous while still providing an intuitive feel for underlying principles. The results and applications often focus on the case of Lévy processes with jumps in only one direction.
Introduction to Wave Scattering, Localization and Mesoscopic Phenomena
Waves represent a classic topic of study in physics, mathematics, and engineering. Many modern technologies are based on our understanding of waves and their interaction with matter. In the past thirty years there have been some revolutionary developments in the study of waves. The present volume is the only available source which details these developments in a systematic manner, with the aim of reaching a broad audience of non-experts. It is an important resource book for those interested in understanding the physics underlying nanotechnology and mesoscopic phenomena, as well as for bridging the gap between the textbooks and research frontiers in any wave related topic. A special feature of this volume is the treatment of classical and quantum mechanical waves within a unified framework, thus facilitating an understanding of similarities and differences between the two.
Introduction to Video Search Engines
Their book has a practical emphasis with the goal of bringing readers up to date on the state of the art in multimedia search technologies and systems. It explains the overall process of video content acquisition, indexing and retrieval with browsing, it provides overviews of constituent technologies such as information retrieval, Internet video systems, video and multimedia processing to extract index data, and it gives examples of research prototypes and existing commercial systems and describes their features.
Introduction to Variance Estimation
The book provides instruction on the methods that are vital to data-driven decision making in business, government, and academe. It will appeal to survey statisticians and other scientists engaged in the planning and conduct of survey research, and to those analyzing survey data and charged with extracting compelling information from such data. It will appeal to graduate students and university faculty who are focused on the development of new theory and methods and on the evaluation of alternative methods. Software developers concerned with creating the computer tools necessary to enable sound decision-making will find it essential.
Introduction to toxicology
Charts the evolution of the field of toxicology, from the use of natural toxins by ancient tribes through the developments established by Paracelsus, and progresses through to the current topics in the public interest. For centuries, the study of toxicology has fascinated students. The book begins with basic toxicological principles, including an historical summary, dose-response relationships (NEW chapter), exposure-response relationships (NEW chapter), disposition, and metabolism of xenobiotic toxic substances. Other important new chapters include target organ toxicity, toxicity of carcinogenic agents and new and updated concepts in toxicity testing, and antidotes and treatment of poisonings. In all, nine new or expanded chapters from the third edition are advanced. Current concerns about the effects of therapeutic drugs, carcinogens, industrial toxins, pesticides, and herbicides on human health, animal welfare, and the stability and maintenance of the ecosystem continue to highlight toxicology as an important and growing scientific discipline.
Introduction to the Tools of Scientific Computing
The book provides an introduction to common programming tools and methods in numerical mathematics and scientific computing. Unlike widely used standard approaches, it does not focus on any particular language but aims to explain the key underlying concepts. In general, new concepts are first introduced in the particularly user-friendly Python language and then transferred and expanded in various scientific programming environments from C / C ++, Julia and MATLAB to Maple. This includes different approaches to distributed computing.
Introduction to the Theory of Cooperative Games
This book systematically presents the main solutions of cooperative games: the core, bargaining set, kernel, nucleolus, and the Shapley value of TU games, and the core, the Shapley value, and the ordinal bargaining set of NTU games. To each solution the authors devote a separate chapter wherein they study its properties in full detail. Moreover, important variants are defined or even intensively analyzed. The authors also investigate in separate chapters continuity, dynamics, and geometric properties of solutions of TU games. The study culminates in uniform and coherent axiomatizations of all the foregoing solutions (excluding the bargaining set). Such axiomatizations have not appeared in any book. Moreover, the book contains a detailed analysis of the main results on cooperative games without side payments. Such analysis is very limited or non-existent in other books on game theory.
Introduction to the basic concepts of modern physics : Special relativity, quantum and statistical physics
These notes are designed as a text book for a course on the Modern Physics Theory for undergraduate students. The purpose is providing a rigorous and self-contained presentation of the simplest theoretical framework using elementary mathematical tools.
Introduction to Sustainability : Road to a Better Future
This book provides the tools to navigate this Road to a Better Future by explaining concepts, giving ideas, proposing methods, and suggesting actions. To illustrate the utilization of techniques there are many examples, applied to a variety of activities, and to wrap up concepts, the last chapter is dedicated to the analysis of a community in search of a sustainable environment. A thematic index has been designed to help a person quickly find information on relevant topics.
Introduction to Structural Analysis
Covers the principles of structural analysis without any requirement of prior knowledge of structures or equations. Beginning with basic principles of equilibrium of forces and moments, all other subsequent theories of structural analysis have been discussed logically. Divided into two major parts, this book discusses the basics of mechanics and principles of degrees of freedom upon which the entire paradigm rests, followed by analysis of determinate and indeterminate structures. The energy method of structural analysis is also included.
Introduction to Stochastic Integration
The theory of stochastic integration, also called the Ito calculus, has a large spectrum of applications in virtually every scientific area involving random functions, but it can be a very difficult subject for people without much mathematical background. The Ito calculus was originally motivated by the construction of Markov diffusion processes from infinitesimal generators. Previously, the construction of such processes required several steps, whereas Ito constructed these diffusion processes directly in a single step as the solutions of stochastic integral equations associated with the infinitesimal generators. Moreover, the properties of these diffusion processes can be derived from the stochastic integral equations and the Ito formula. This introductory textbook on stochastic integration provides a concise introduction to the Ito calculus
Introduction to space syntax in urban studies
This textbook is a comprehensive introduction to space syntax method and theory for graduate students and researchers. It provides a step-by-step approach for its application in urban planning and design. This textbook aims to increase the accessibility of the space syntax method for the first time to all graduate students and researchers who are dealing with the built environment, such as those in the field of architecture, urban design and planning, urban sociology, urban geography, archaeology, road engineering, and environmental psychology. Taking a didactical approach, the authors have structured each chapter to explain key concepts and show practical examples followed by underlying theory and provided exercises to facilitate learning in each chapter
Introduction to Soliton Theory : Applications to Mechanics
This monograph provides the application of soliton theory to solve certain problems selected from the fields of mechanics. The present monograph is not a simple translation of its predecessor appeared in Publishing House of the Romanian Academy in 2002. Improvements outline the way in which the soliton theory is applied to solve some engineering problems. The book addresses concrete resolution methods of certain problems such as the motion of thin elastic rod, vibrations of initial deformed thin elastic rod, the coupled pendulum oscillations, dynamics of left ventricle, transient flow of blood in arteries, the subharmonic waves generation in a piezoelectric plate with Cantor-like structure, and some problems related to Tzitzeica surfaces. This comprehensive study enables the readers to make connections between the soliton physical phenomenon and some partical, engineering problems.
Introduction to Singularities and Deformations
This book presents the basic singularity theory of analytic spaces, including local deformation theory, and the theory of plane curve singularities. Plane curve singularities are a classical object of study, rich of ideas and applications, which still is in the center of current research and as such provides an ideal introduction to the general theory. Deformation theory is an important technique in many branches of contemporary algebraic geometry and complex analysis. This introductory text provides the general framework of the theory while still remaining concrete.
Introduction to Scientific Programming with Python
This book offers an initial introduction to programming for scientific and computational applications using the Python programming language. The presentation style is compact and example-based, making it suitable for students and researchers with little or no prior experience in programming.
